version 1.66, 1999/12/24 00:01:21 |
version 1.97, 1999/12/26 07:13:26 |
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%% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.65 1999/12/23 22:58:32 tam Exp $ |
%% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.96 1999/12/26 06:33:32 ohara Exp $ |
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\usepackage{jssac} |
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\title{¥¿¥¤¤Î¥È¥ë} |
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\title{°ÕÌ£¤â¤Ê¤¤½¤¾þ²á¾ê¤Ê¸ì¶ç¤ÏÇÓ½ü¤·¤Þ¤·¤ç¤¦¡£} |
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\author{Á° Àî ¾ ½¨\affil{¿À¸ÍÂç³ØÍý³ØÉô} |
\title{OpenXM ¥×¥í¥¸¥§¥¯¥È¤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} |
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\mail{noro@para.flab.fujitsu.co.jp} |
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\and ¾® ¸¶ ¸ù Ǥ\affil{¶âÂôÂç³ØÍý³ØÉô} |
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\mail{ohara@kappa.s.kanazawa-u.ac.jp} |
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\and ±ü ë ¹Ô ±û\affil{¿À¸ÍÂç³ØÂç³Ø±¡¼«Á³²Ê³Ø¸¦µæ²Ê} |
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\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} |
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\mail{ohara@kappa.s.kanazawa-u.ac.jp} |
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\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} |
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\and Ìî Ϥ ¡¡ Àµ ¹Ô\affil{ÉÙ»ÎÄ̸¦µæ½ê} |
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\mail{noro@para.flab.fujitsu.co.jp} |
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\and Á° Àî ¡¡ ¾ ½¨\affil{¿À¸ÍÂç³ØÍý³ØÉô} |
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\mail{maekawa@math.sci.kobe-u.ac.jp} |
} |
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\art{} |
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\begin{document} |
\begin{document} |
\maketitle |
\maketitle |
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\section{OpenXM¤È¤Ï} |
\section{OpenXM¤È¤Ï} |
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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 |
¾¤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¡£ |
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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¤ÎÊýË¡¤Ç¤ÏÁê¼ê¦¤Î¥½¥Õ¥È¤¬ asir ¤Ê¤Î¤« kan/sm1 ¤Ê¤Î¤«¤òȽÊ̤¹¤ë¤Ê¤É¤· |
¤³¤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¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÁ÷¤ëÊýË¡¤Ï, ¸úΨŪ¤Ç¤¢¤ë¤È¤Ï¤¤¤¤Æñ |
¤³¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÁ÷¤ëÊýË¡¤Ï¡¢ |
¤¤¤¬, »È¤¤¤ä¤¹¤¤¤È¤â¸À¤¨¤ë. |
¸úΨŪ¤Ç¤¢¤ë¤È¤Ï¤¤¤¤Æñ¤¤¤¬¡¢»È¤¤¤ä¤¹¤¤¤È¤â¸À¤¨¤ë¡£ |
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¸½ºß¤Î OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤Ë¤è¤ë¥á¥Ã¥»¡¼¥¸¤òÍѤ¤¤Æ¤¤¤ë¡£ |
¸½ºß¤Î OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤Ë¤è¤ë¥á¥Ã¥»¡¼¥¸¤òÍѤ¤¤Æ¤¤¤ë. ¾åµ¤Î |
¾åµ¤Îʸ»úÎó¤òÁ÷¤ëÊýË¡¤ÎÍøÅÀ¤òÀ¸¤«¤¹¤¿¤á¡¢ |
ʸ»úÎó¤òÁ÷¤ëÊýË¡¤ÎÍøÅÀ¤òÀ¸¤«¤¹¤¿¤á, OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤ÎÃæ¤Îʸ |
OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤ÎÃæ¤Îʸ»úÎó¤È¤·¤Æ¡¢ |
»úÎó¤È¤·¤Æ, ¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÍѤ¤¤¿¥á¥Ã¥»¡¼¥¸¤Î¸ò´¹¤â²Ä |
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ǽ¤È¤Ê¤Ã¤Æ¤¤¤ë. |
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OpenXM µ¬Ìó¤Ç¤ÏÄÌ¿®¤ÎÊýË¡¤Ë´ö¤é¤«¤Î¼«Í³ÅÙ¤¬¤¢¤ë¤¬¡¢ |
OpenXM µ¬Ìó¤Ç¤ÏÄÌ¿®¤ÎÊýË¡¤Ë¼«Í³ÅÙ¤¬¤¢¤ë¤¬, ¸½ºß¤Î¤È¤³¤í¤Ï TCP/IP |
¸½ºß¤Î¤È¤³¤í¤Ï TCP/IP ¤òÍѤ¤¤¿ÄÌ¿®¤·¤«¼ÂÁõ¤µ¤ì¤Æ¤¤¤Ê¤¤¡£ |
¤òÍѤ¤¤¿ÄÌ¿®¤·¤«¼ÂÁõ¤µ¤ì¤Æ¤¤¤Ê¤¤. \footnote{asir ¤Ë¤Ï MPI ¤òÍѤ¤¤¿¼ÂÁõ |
¤½¤³¤Ç¡¢¤³¤ÎÏÀʸ¤Ç¤Ï¶ñÂÎŪ¤Ê¼ÂÁõ¤Ï TCP/IP ¤òÍѤ¤¤Æ¤¤¤ë¤È²¾Äꤹ¤ë¡£ |
¤â¤¢¤ë.} ¤½¤³¤Ç, ¤³¤ÎÏÀʸ¤Ç¤Ï TCP/IP ¤òÍѤ¤¤¿¼ÂÁõ¤Ë½àµò¤·¤Æ |
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OpenXM ¤ÎÀâÌÀ¤ò¤¹¤ë. |
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\section{OpenXM ¤Î¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤} |
\section{OpenXM ¤Î¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤} |
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ÄÌ¿®¤ÎÊýË¡¤Ë¤è¤Ã¤Æ¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤¤ÏÊѤï¤ë¡£ |
ÄÌ¿®¤ÎÊýË¡¤Ë¤è¤Ã¤Æ¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤¤ÏÊѤï¤ë. ¤³¤ÎÏÀʸ¤Ç¤Ï TCP/IP ¤Î¾ì¹ç |
Á°Àá¤Ç²¾Äꤷ¤¿¤È¤ª¤ê¡¢¤³¤ÎÏÀʸ¤Ç¤Ï TCP/IP ¤Î¾ì¹ç¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤ò¹Ô¤Ê¤¦¡£ |
¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤ò¹Ô¤Ê¤¦. |
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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¡¢ |
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¡ |
¼¡¤Î¤è¤¦¤Ê¹½Â¤¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£ |
¤Î¤è¤¦¤Ê¹½Â¤¤Ë¤Ê¤Ã¤Æ¤¤¤ë. |
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\begin{center} |
\begin{tabular}{|c|c|} |
\begin{tabular}{|c|c|} |
\hline |
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¥Ø¥Ã¥À & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\ |
¥Ø¥Ã¥À & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\ |
\hline |
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\end{center} |
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¥Ø¥Ã¥À¤ÎŤµ¤Ï 8 ¥Ð¥¤¥È¤Ç¤¢¤ë¤ÈÄê¤á¤é¤ì¤Æ¤¤¤ë¡£ |
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¤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. |
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¤³¤Î¾ì¹ç¤ËÍѤ¤¤é¤ì¤ë 32 ¥Ó¥Ã¥ÈÀ°¿ô¤Îɽ¸½ÊýË¡¤Ë¤Ä¤¤¤ÆÀâÌÀ¤·¤Æ¤ª¤³¤¦. Ìä |
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¸½ºß¤ÎOpenXM µ¬Ìó¤Ç¤Ï, ¥¿¥°(À°¿ôÃÍ)¤È¤·¤Æ°Ê²¼¤Î¤â¤Î¤¬ÄêµÁ¤µ¤ì¤Æ¤¤¤ë. |
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\begin{verbatim} |
\begin{verbatim} |
#define OX_COMMAND 513 |
#define OX_COMMAND 513 |
#define OX_DATA 514 |
#define OX_DATA 514 |
Line 94 OpenXM µ¬Ìó¤Çµ¬Äꤵ¤ì¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥ |
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Line 94 OpenXM µ¬Ìó¤Çµ¬Äꤵ¤ì¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥ |
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#define OX_DATA_MP 525 |
#define OX_DATA_MP 525 |
\end{verbatim} |
\end{verbatim} |
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¥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 |
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¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Ë¤Ä¤¤¤Æ¤Î¤ß, ÀâÌÀ¤¹¤ë. |
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¤¤¼ïÎà¤Î¥á¥Ã¥»¡¼¥¸¤òºîÀ®¤¹¤ë¤³¤È¤¬¤Ç¤¤ë. ¤³¤ÎÊýË¡¤Ï³Æ¿ô³Ø¥½¥Õ¥È¥¦¥§¥¢¤Î |
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¤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. |
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\section{OpenXM ¤Î·×»»¥â¥Ç¥ë} |
\section{OpenXM ¤Î·×»»¥â¥Ç¥ë} |
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OpenXM µ¬Ìó¤Ç¤Î·×»»¤È¤Ï¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤³¤È¤Ç¤¢¤ë¡£¤Þ¤¿¡¢ OpenXM µ¬ |
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 |
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 |
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\section{OpenXM ¤Î·×»»¤Î¿Ê¹ÔÊýË¡} |
\begin{enumerate} |
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\item |
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¤Þ¤º, ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥ª¥Ö¥¸¥§¥¯¥È¤òÁ÷¤ë. ¥µ¡¼¥Ð¤ÏÁ÷¤é¤ì¤Æ¤¤¿¥ª |
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ºî¤ò¹Ô¤¦. °ìÉô¤ÎÌ¿Îá¤Ï¥¹¥¿¥Ã¥¯¤Î¾õÂÖ¤òÊѹ¹¤¹¤ë. Î㤨¤Ð |
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SM\_executeFunction, \\ SM\_executeStringByLocalParser ¤Ê¤É¤ÎÌ¿Îá¤Ï, ¥¹ |
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¥¿¥Ã¥¯¾å¤Î¥ª¥Ö¥¸¥§¥¯¥È¤«¤é·×»»¤ò¹Ô¤¦. SM\_popCMO ¤â¤·¤¯¤Ï SM\_popString |
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\end{enumerate} |
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\section{OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó}\label{sec:oxsm} |
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%{\Huge °Ê²¼¡¢½ñ¤Ä¾¤·} |
\begin{verbatim} |
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#define SM_popSerializedLocalObject 258 |
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#define SM_popCMO 262 |
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#define SM_popString 263 |
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¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ê¡¢ |
#define SM_mathcap 264 |
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#define SM_pops 265 |
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#define SM_setName 266 |
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#define SM_evalName 267 |
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#define SM_executeStringByLocalParser 268 |
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#define SM_executeFunction 269 |
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#define SM_beginBlock 270 |
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#define SM_endBlock 271 |
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#define SM_shutdown 272 |
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#define SM_setMathCap 273 |
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#define SM_executeStringByLocalParserInBatchMode 274 |
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#define SM_getsp 275 |
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#define SM_dupErrors 276 |
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\begin{enumerate} |
#define SM_DUMMY_sendcmo 280 |
\item ¤Þ¤º¡¢¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ë¡£ |
#define SM_sync_ball 281 |
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\end{enumerate} |
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#define SM_control_kill 1024 |
\section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤} |
#define SM_control_to_debug_mode 1025 |
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#define SM_control_exit_debug_mode 1026 |
OpenXM µ¬Ìó¤Ç¤Ï¡¢¿ô³ØŪ¥ª¥Ö¥¸¥§¥¯¥È¤òɽ¸½¤¹¤ëÊýË¡¤È¤·¤Æ |
#define SM_control_ping 1027 |
CMO ·Á¼°(Common Mathematical Object format)¤òÄêµÁ¤·¤Æ¤¤¤ë¡£ |
#define SM_control_start_watch_thread 1028 |
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#define SM_control_stop_watch_thread 1029 |
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#define SM_control_reset_connection 1030 |
CMO ·Á¼°¤Ë¤ª¤±¤ë¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤Æ°Ê²¼¤ÇÀâÌÀ¤¹¤ë¤¬¡¢ |
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CMO ·Á¼°¤Î¾¤Î¥Ç¡¼¥¿¹½Â¤¤À¤±¤Ç¤Ê¤¯¡¢ |
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\begin{verbatim} |
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#define CMO_INT32 2 /* 32 ¥Ó¥Ã¥ÈÀ°¿ô */ |
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#define CMO_STRING 4 /* ʸ»úÎó */ |
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#define CMO_MATHCAP 5 /* mathcap(¸å½Ò) */ |
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#define CMO_LIST 17 /* ¥ê¥¹¥È¹½Â¤ */ |
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#define CMO_ZZ 20 /* ¿ÇÜĹÀ°¿ô */ |
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\end{verbatim} |
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OpenXM µ¬Ìó¤Ç¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤Ç 32 bit ¤ÎÀ°¿ô 20 ¤ò |
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\begin{tabular}{|c|c|c|c|c|} \hline |
\section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤}\label{sec:cmo} |
$f$ & $b_0$ & $b_1$ & $\cdots$ & $b_{n-1}$ \\ \hline |
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\end{tabular} |
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$f$ ¤ÏÉä¹çÉÕ¤ 32 ¥Ó¥Ã¥ÈÀ°¿ô¤ò¡¢ |
Mathematical Object format)¤òÄêµÁ¤·¤Æ¤¤¤ë. ¤³¤Î CMO ·Á¼°¤Ë¤·¤¿¤¬¤Ã¤¿¥Ç¡¼ |
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\[ \mbox{sgn}(f) \times \{ b_0 (2^{32})^0 + b_1 (2^{32})^1 + \cdots |
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+ b_{n-1} (2^{32})^{n-1} \} \] |
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\[ \mbox{sgn}(f) = \left\{ \begin{array}{ll} |
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1 & f>0 \\ |
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0 & f=0 \\ |
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-1 & f<0 \\ \end{array} \right. \] |
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CMO ·Á¼°¤Ë¤ª¤±¤ë¥Ç¡¼¥¿¹½Â¤¤Ï¼¡¤Î¤è¤¦¤Ê¹½Â¤¤ò¤â¤Ä. |
$4294967298 = 1 \times 2^{32} + 2$ ¤ò CMO ·Á¼°¤Î |
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\begin{center} |
\begin{center} |
{\tt 00 00 00 14 00 00 00 02 00 00 00 02 00 00 00 01} |
\begin{tabular}{|c|c|} |
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\hline |
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¥Ø¥Ã¥À & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\ |
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\hline |
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\end{tabular} |
\end{center} |
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¤È¤Ê¤ë¡£¤Þ¤¿¡¢Æ±¤¸É½¸½ÊýË¡¤Ç $-1$ ¤òɽ¸½¤¹¤ë¤È¡¢ |
¥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¤¬, |
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0¤Ç¤â¤è¤¤. |
{\tt 00 00 00 14 ff ff ff ff 00 00 00 01} |
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\end{center} |
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¤È¤Ê¤ë¡£ |
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¥á¥Ã¥»¡¼¥¸¤ÈƱÍͤ˥إåÀ¤Ï4¥Ð¥¤¥Èñ°Ì¤Ë´ÉÍý¤µ¤ì¤ë. ¤¹¤Ê¤ï¤Á, CMO ¤Ç¤Ï¥Ø¥Ã |
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¥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, |
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CMO ¤Ç¤Ï, ¥¿¥°¤Ë¤è¤Ã¤Æ¥Ü¥Ç¥£¤ÎÏÀÍýŪ¹½Â¤¤¬·èÄꤹ¤ë. ¤¹¤Ê¤ï¤Á, ¥¿¥°¤Ï¤½¤ì |
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¤¾¤ì¤Î¥Ç¡¼¥¿¹½Â¤¤È1ÂÐ1¤ËÂбþ¤¹¤ë¼±Ê̻ҤǤ¢¤ë. ¤½¤ì¤¾¤ì¤ÎÏÀÍýŪ¹½Â¤¤Ï |
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\cite{OpenXM-1999} ¤Ë¾Ü½Ò¤µ¤ì¤Æ¤¤¤ë. ¸½ºß¤Î OpenXM µ¬Ìó¤Ç¤Ï°Ê²¼¤Î CMO ¤¬ |
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ÄêµÁ¤µ¤ì¤Æ¤¤¤ë. |
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\section{mathcap ¤Ë¤Ä¤¤¤Æ} |
\begin{verbatim} |
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#define CMO_ERROR2 0x7f000002 |
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#define CMO_NULL 1 |
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#define CMO_INT32 2 |
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#define CMO_DATUM 3 |
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#define CMO_STRING 4 |
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#define CMO_MATHCAP 5 |
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#define CMO_ARRAY 16 |
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#define CMO_LIST 17 |
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#define CMO_ATOM 18 |
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#define CMO_MONOMIAL32 19 |
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#define CMO_ZZ 20 |
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#define CMO_QQ 21 |
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#define CMO_ZERO 22 |
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#define CMO_DMS_GENERIC 24 |
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#define CMO_DMS_OF_N_VARIABLES 25 |
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#define CMO_RING_BY_NAME 26 |
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#define CMO_RECURSIVE_POLYNOMIAL 27 |
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#define CMO_LIST_R 28 |
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#define CMO_INT32COEFF 30 |
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#define CMO_DISTRIBUTED_POLYNOMIAL 31 |
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#define CMO_POLYNOMIAL_IN_ONE_VARIABLE 33 |
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#define CMO_RATIONAL 34 |
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#define CMO_64BIT_MACHINE_DOUBLE 40 |
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#define CMO_ARRAY_OF_64BIT_MACHINE_DOUBLE 41 |
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#define CMO_128BIT_MACHINE_DOUBLE 42 |
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#define CMO_ARRAY_OF_128BIT_MACHINE_DOUBLE 43 |
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#define CMO_BIGFLOAT 50 |
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#define CMO_IEEE_DOUBLE_FLOAT 51 |
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#define CMO_INDETERMINATE 60 |
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#define CMO_TREE 61 |
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#define CMO_LAMBDA 62 |
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\end{verbatim} |
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OpenXM µ¬Ìó¤Ç¤Ï¡¢ÄÌ¿®»þ¤ËÍѤ¤¤é¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò |
¤³¤ÎÃæ¤Ç CMO\_ERROR2, CMO\_NULL, CMO\_INT32, CMO\_DATUM, CMO\_STRING, |
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¤³¤ÎÀ©¸Â(¤¢¤ë¤¤¤Ï³ÈÄ¥)¤Ï CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë mathcap ¤È |
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¥¯¥é¥¤¥¢¥ó¥È¦¤Î mathcap ¤ò¥µ¡¼¥Ð¤ØÁ÷¤ë¤È¡¢ |
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cmo\_int32 ¤È¾®Ê¸»ú¤Çɽ¤¹¤³¤È¤Ë¤¹¤ë. |
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mathcap ¤Ï CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤ª¤ê¡¢ |
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\[ \begin{tabular}{|c|c|c|} \hline |
CMO expssion ¤Ï Lisp É÷ɽ¸½¤Î°ì¼ï¤Ç, cmo ¤ò³ç¸Ì¤Ç°Ï¤ó¤À¥ê¥¹¥È¤È¤·¤Æɽ¸½ |
$A$ & $B$ & $C$ \\ \hline |
¤¹¤ë. ¤½¤ì¤¾¤ì¤ÎÍ×ÁǤϥ«¥ó¥Þ¤Ç¶èÀÚ¤ë. Î㤨¤Ð, |
\end{tabular} \] |
\begin{quote} |
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(17, {\sl int32}, (CMO\_NULL), (2, {\sl int32} $n$)) |
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\end{quote} |
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¤Ï CMO expression ¤Ç¤¢¤ë. ¤³¤³¤Ç, ¾®Ê¸»ú¤Î¼ÐÂΤÇɽ¤µ¤ì¤¿``{\sl int32}'' |
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¤Ï 4 ¥Ð¥¤¥È¤ÎǤ°Õ¤Î¥Ç¡¼¥¿¤òɽ¤¹µ¹æ¤Ç¤¢¤ê, ``{\sl int32} $n$'' ¤ÏƱ¤¸¤¯ |
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4 ¥Ð¥¤¥È¤Î¥Ç¡¼¥¿¤Ç¤¢¤ë¤¬°Ê²¼¤ÎÀâÌÀ¤Ç $n$ ¤Èɽ¤¹¤³¤È¤ò¼¨¤¹. ¤Þ¤¿¿ô»ú 17, |
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2 ¤Ê¤É¤Ï 4 ¥Ð¥¤¥È¤Î¥Ç¡¼¥¿¤ÇÀ°¿ôÃͤȤ·¤Æ¤ß¤¿¤È¤¤ÎÃͤò°ÕÌ£¤¹¤ë. CMO\_NULL |
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¤Ï¼±ÊÌ»Ò(¤¹¤Ê¤ï¤Á¿ô»ú 1 ¤ÈÅù²Á)¤Ç¤¢¤ë. ¤³¤ÎµË¡¤«¤é¾åµ¤Î¥Ç¡¼¥¿¤Ï 20 ¥Ð |
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¥¤¥È¤ÎÂ礤µ¤Î¥Ç¡¼¥¿¤Ç¤¢¤ë¤³¤È¤¬Ê¬¤«¤ë. ¤Ê¤ª, CMO expression ¤Ïñ¤Ê¤ëɽ |
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µË¡¤Ç¤¢¤ë¤³¤È¤ËÆäËÃí°Õ¤·¤Æ¤Û¤·¤¤. |
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ºÇ½é¤ÎÍ×ÁÇ $A$ ¤ÎÉôʬ¤Ï°Ê²¼¤Î¿Þ¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤ª¤ê¡¢ |
¤µ¤Æ, ¤³¤ÎµË¡¤Î¤â¤È¤Ç cmo\_int32 ¤ò¼¡¤Î¥Ç¡¼¥¿¹½Â¤¤Ç¤¢¤ë¤ÈÄêµÁ¤¹¤ë. |
$a_1$ ¤Ï 32 ¥Ó¥Ã¥ÈÀ°¿ô¤Ç¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤ò¡¢ |
\begin{quote} |
$a_2$ ¤Ïʸ»úÎó¤Ç¥·¥¹¥Æ¥à¤Î̾Á°¤òɽ¤¹¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£ |
cmo\_int32 := (CMO\_INT32, {\sl int32}) |
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\end{quote} |
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ƱÍͤË, cmo\_null, cmo\_string, cmo\_list, cmo\_mathcap ¤Î¥·¥ó¥¿¥Ã |
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¥¯¥¹¤Ï¼¡¤Î¤è¤¦¤ËÄêµÁ¤µ¤ì¤ë. |
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\begin{quote} |
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cmo\_null := (CMO\_NULL) \\ |
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cmo\_string := (CMO\_STRING, {\sl int32} $n$, {\sl string} $s$) \\ |
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cmo\_list := (CMO\_LIST, {\sl int32} $m$, {\sl cmo} $c_1$, $\ldots$, |
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{\sl cmo} $c_m$) \\ |
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cmo\_mathcap := (CMO\_MATHCAP, {\sl cmo\_list}) |
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\end{quote} |
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¤¿¤À¤·, {\sl string}¤ÏŬÅö¤ÊŤµ¤Î¥Ð¥¤¥ÈÎó¤òɽ¤¹. $s$ ¤Î¥Ð¥¤¥ÈĹ¤Ï $n$ |
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¤È°ìÃפ¹¤ë¤³¤È¤¬Í׵ᤵ¤ì¤ë. |
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\[ \begin{tabular}{|c|c|} \hline |
\section{mathcap ¤Ë¤Ä¤¤¤Æ} |
$a_1$ & $a_2$ \\ \hline |
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\end{tabular} \] |
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2 ÈÖÌܤÎÍ×ÁÇ $B$ ¤ÎÉôʬ¤Ï¼¡¤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© |
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¤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 |
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¥¿¹½Â¤¤È, ¶ñÂÎŪ¤Ê¥á¥Ã¥»¡¼¥¸¤ÎÀ©¸Â¤Î¼ê³¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë. |
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\[ \begin{tabular}{|c|c|c|c|} \hline |
¤Þ¤º, ¼ê³¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤·¤è¤¦. |
$b_1$ & $b_2$ & $\cdots$ & $b_n$ \\ \hline |
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\end{tabular} \] |
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3 ÈÖÌܤÎÍ×ÁÇ $C$ ¤Ï°Ê²¼¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë¡£ |
Âè°ì¤Ë¥µ¡¼¥Ð¤Îµ¡Ç½¤òÀ©¸Â¤¹¤ë¤Ë¤Ï¼¡¤Î¤è¤¦¤Ë¤¹¤ë. ¥¯¥é¥¤¥¢¥ó¥È¤¬ mathcap |
\[ \overbrace{ |
¥ª¥Ö¥¸¥§¥¯¥È¤ò¥µ¡¼¥Ð¤ØÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï¼õ¤±¼è¤Ã¤¿mathcap ¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà. |
\begin{tabular}{|c|c|c|c|} \hline |
¼¡¤Ë¥¯¥é¥¤¥¢¥ó¥È¤¬Ì¿Îá SM\_setMathCap ¤òÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤ÎºÇ¾å°Ì |
$c_1$ & $c_2$ & $\cdots$ & $c_n$ \\ \hline |
¤ËÀѤޤì¤Æ¤¤¤ë mathcap ¥ª¥Ö¥¸¥§¥¯¥È¤ò¼è¤ê½Ð¤·, mathcap ¤ÇÀßÄꤵ¤ì¤Æ¤¤¤Ê |
\end{tabular} |
¤¤¥á¥Ã¥»¡¼¥¸¤ò¥¯¥é¥¤¥¢¥ó¥È¤ØÁ÷¤é¤Ê¤¤¤è¤¦¤ËÀ©¸Â¤ò¹Ô¤¦. |
}^{C} \] |
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\begin{tabular}{|c|c|c|c|c|} \hline |
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$c_{i21}$ & $c_{i22}$ & $\cdots$ & $c_{i2l}$ \\ \hline |
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}^{c_{i2}} \] |
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%¤Ê¤ª¡¢ mathcap ¥Ç¡¼¥¿¤ÎÃæ¤Ç¤Ï CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë |
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¶ñÂÎŪ¤Ê mathcap ¤ÎÎã¤ò¤¢¤²¤è¤¦¡£ |
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%¤Ê¤ª¡¢ $a_1$, $a_2$, $\cdots$, $a_n$ ¤òÍ×ÁÇ¤Ë |
mathcap ¤Ï cmo ¤Î°ì¼ï¤Ç¤¢¤ë¤Î¤Ç, ¤¹¤Ç¤ËÀâÌÀ¤·¤¿¤è¤¦¤Ë |
%»ý¤Ä¥ê¥¹¥È¹½Â¤¤ò {\tt [$a_1$, $a_2$, $\cdots$, $a_n$]} ¡¢ |
\begin{quote} |
%ʸ»úÎó ``string'' ¤ò {\tt "string"} ¡¢ 32 bit À°¿ô¤ò |
cmo\_mathcap := (CMO\_MATHCAP, {\sl cmo\_list}) |
%¤½¤ì¤ËÂбþ¤¹¤ë 10 ¿Ê¿ô¤ÎÀ°¿ô¤Ç¼¨¤¹¡£ |
\end{quote} |
̾Á°¤¬ ``ox\_test'' ¡¢¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤¬ 199911250 ¤Î¥µ¡¼¥Ð¤Ç¤¢¤ì¤Ð¡¢ |
¤Î¹½Â¤¤ò¤â¤Ä(\ref{sec:cmo} Àá¤ò»²¾È¤Î¤³¤È). |
$A$ ¤ÎÉôʬ¤Ï |
¥Ü¥Ç¥£¤Ï cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ç¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤. |
\begin{tabular}{|c|c|} \hline |
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199911250 & "ox\_test" \\ \hline |
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(¼ÂºÝ¤Ë¤Ï¤³¤Î¤è¤¦¤ÊÌ¿Îᥳ¡¼¥É¤Ï¸ºß¤·¤Ê¤¤)¤Ç¤¢¤ì¤Ð¡¢ $B$ ¤ÎÉôʬ¤Ï |
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¤È¤Ê¤ê¡¢ |
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CMO ·Á¼°¤Î 32 ¥Ó¥Ã¥ÈÀ°¿ô¡¢Ê¸»úÎó¡¢ mathcap ¡¢¥ê¥¹¥È¹½Â¤¤Î¤ß¤¬ |
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¼õ¤±¼è¤ì¤ë¤È¤¤Ë¤Ï¡¢ $C$ ¤ÎÉôʬ¤Ï |
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\begin{tabular}{|c|} \hline |
¤µ¤Æ, mathcap ¥ª¥Ö¥¸¥§¥¯¥È¤Î¥Ü¥Ç¥£¤Î cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ï°Ê²¼¤Î¾ò·ï |
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¤òËþ¤¿¤¹¤³¤È¤òÍ׵ᤵ¤ì¤ë. ¤Þ¤º, ¤½¤Î cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ï¾¯¤Ê¤¯¤È¤â |
\begin{tabular}{|c|c|} \hline |
¥ê¥¹¥ÈŤ¬ 3 °Ê¾å¤Ç¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤. |
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\begin{quote} |
OX\_DATA & |
(CMO\_LIST, {\sl int32}, {\sl cmo} $a$, {\sl cmo} $b$, {\sl cmo} $c$, $\ldots$) |
\begin{tabular}{|c|c|c|c|} \hline |
\end{quote} |
CMO\_INT32 & CMO\_STRING & CMO\_MATHCAP & CMO\_LIST \\ \hline |
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\end{tabular} \\[0.8mm] \hline |
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\end{tabular} \\[1.4mm] \hline |
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\end{tabular} |
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¤È¤Ê¤ë¡£ |
Âè°ìÍ×ÁÇ $a$ ¤Ï¤Þ¤¿ cmo\_list ¤Ç¤¢¤ê, ¥ê¥¹¥ÈĹ¤Ï 4 °Ê¾å, $a_1$ ¤Ï |
CMO\_ZZ ¤¬¤Ê¤¤¤Î¤Ç¡¢¤³¤Î¥µ¡¼¥Ð¤Ï¿ÇÜĹÀ°¿ô¤¬ |
cmo\_int32 ¤Ç¥Ð¡¼¥¸¥ç¥ó¤òɽ¤¹. $a_2$, $a_3$, $a_4$ ¤Ï cmo\_string ¤Ç¤¢¤ê, |
Á÷¤é¤ì¤Æ¤³¤Ê¤¤¤³¤È¤ò´üÂÔ¤·¤Æ¤¤¤ë¡£ |
¤½¤ì¤¾¤ì¿ô³Ø¥·¥¹¥Æ¥à¤Î̾Á°, ¥Ð¡¼¥¸¥ç¥ó, HOSTTYPE ¤òɽ¤¹¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë. |
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\begin{quote} |
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(CMO\_LIST, {\sl int32}, |
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{\sl cmo\_int32} $a_1$, {\sl cmo\_string} $a_2$, {\sl cmo\_string} |
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$a_3$, {\sl cmo\_string} $a_4$, $\ldots$) |
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\end{quote} |
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¤Ê¤ª¡¢¥Ç¡¼¥¿¤¬¼õ¤±¼è¤ì¤ë¤³¤È¤È¡¢ |
ÂèÆóÍ×ÁÇ $b$ ¤â cmo\_list ¤Ç¤¢¤ê, OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤òÀ©¸æ¤¹¤ë¤¿¤á¤Ë |
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ÍѤ¤¤é¤ì¤ë. ³Æ $b_i$ ¤Ï cmo\_int32 ¤Ç¤¢¤ê, ¥Ü¥Ç¥£¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤ÎÌ¿Îá |
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¥³¡¼¥É¤Ç¤¢¤ë. \ref{sec:oxsm} Àá¤ÇÀâÌÀ¤·¤¿¤¬, ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤Ï¤¹ |
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¤Ù¤Æ {\sl int32} ¤Çɽ¤µ¤ì¤Æ¤¤¤¿¤³¤È¤ËÃí°Õ¤·¤è¤¦. |
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\begin{quote} |
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(CMO\_LIST, {\sl int32} $n$, |
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{\sl cmo\_int32} $b_1$, $\ldots$, {\sl cmo\_int32} $b_n$) |
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\end{quote} |
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Âè»°Í×ÁÇ $c$ ¤Ï°Ê²¼¤Î¤è¤¦¤Ê cmo\_list ¤Ç¤¢¤ê, ¥ª¥Ö¥¸¥§¥¯¥È¤ÎÁ÷¼õ¿®¤òÀ©¸æ |
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¤¹¤ë¤¿¤á¤ËÍѤ¤¤é¤ì¤ë. Á÷¼õ¿®¤ÎÀ©¸æ¤Ï¥á¥Ã¥»¡¼¥¸¤Î¼ïÎऴ¤È¤Ë¹Ô¤ï¤ì¤ë. |
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\begin{quote} |
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(CMO\_LIST, {\sl int32} $m$, {\sl cmo\_list} $\ell_1$, $\ldots$, |
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{\sl cmo\_list} $\ell_m$) |
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\end{quote} |
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³Æ $\ell_i$ ¤¬À©¸æ¤Î¤¿¤á¤Î¾ðÊó¤òɽ¤¹. ¤É¤Î $\ell_i$ ¤â°ì¤Ä°Ê¾å¤ÎÍ×ÁǤò |
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»ý¤Ã¤Æ¤ª¤ê, Âè°ìÍ×ÁǤÏɬ¤º cmo\_int32 ¤È¤Ê¤Ã¤Æ¤¤¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤. ¤³¤ì |
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¤ÏÀ©¸æ¤¹¤Ù¤¥á¥Ã¥»¡¼¥¸¤Î¼±Ê̻ҤòÆþ¤ì¤ë¤¿¤á¤Ç¤¢¤ë. |
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\section{¥»¥¥å¥ê¥Æ¥£Âкö} |
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¤Î¾ì¹ç¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤¹¤ë. Âè°ìÍ×ÁǤ¬ OX\_DATA ¤Î¾ì¹ç, ¥ê¥¹¥È $\ell_i$ |
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¤Ï°Ê²¼¤Î¤è¤¦¤Ê¹½Â¤¤È¤Ê¤Ã¤Æ¤¤¤ë. ³Æ $c_i$ ¤Ï cmo\_int32 ¤Ç¤¢¤ê, ¤½¤Î¥Ü¥Ç¥£ |
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¤Ï CMO ¤Î¼±Ê̻ҤǤ¢¤ë. $c_i$ ¤Ç»Ø¼¨¤µ¤ì¤¿ CMO ¤Î¤ß¤¬Á÷¼õ¿®¤¹¤ë¤³¤È¤òµö |
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¤µ¤ì¤ë. |
|
\begin{quote} |
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(CMO\_LIST, 2, (CMO\_INT32, OX\_DATA), \\ |
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\ \ (CMO\_LIST, {\sl int32} $k$, {\sl cmo\_int32} $c_1$, |
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$\ldots$, {\sl cmo\_int32} $c_k$)) |
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\end{quote} |
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OpenXM µ¬Ìó¤Ï TCP/IP ¤òÍѤ¤¤ÆÄÌ¿®¤ò¹Ô¤¦¤³¤È¤ò¹Íθ¤·¤Æ¤¤¤ë¡£ |
¶ñÂÎŪ¤Ê mathcap ¤ÎÎã¤ò¤¢¤²¤è¤¦. ̾Á°¤¬ ``ox\_test'', ¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼ |
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¤¬ 199911250 ¤Î¥µ¡¼¥Ð¤Ç, Linux ¾å¤ÇÆ°¤¤¤Æ¤ª¤ê, ¤³¤Î¥µ¡¼¥Ð¤Î¥¹¥¿¥Ã¥¯¥Þ¥· |
OpenXM µ¬Ìó¤â¤Þ¤¿ÄÌ¿®»þ¤Î¥»¥¥å¥ê¥Æ¥£¤Ë¤Ä¤¤¤ÆÃí°Õ¤·¤Æ¤¤¤ë¡£ |
¥ó¤¬Ì¿Îá SM\_popCMO, SM\_popString, SM\_mathcap, |
°Ê²¼¡¢¤³¤Î¤³¤È¤Ë¤Ä¤¤¤ÆÀâÌÀ¤·¤è¤¦¡£ |
SM\_executeStringByLocalParser ¤òÍøÍѲÄǽ¤Ç, ¤«¤Ä ¥ª¥Ö¥¸¥§¥¯¥È¤ò |
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cmo\_int32, cmo\_string, cmo\_mathcap, cmo\_list ¤Î¤ß¤ËÀ©¸Â¤·¤¿¤¤¤È¤¤Î |
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mathcap ¤Ï |
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\begin{quote} |
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(CMO\_MATHCAP, (CMO\_LIST, 3, \\ |
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$\quad$ (CMO\_LIST, 4, (CMO\_INT32, $199911250$), (CMO\_STRING, 7, ``ox\_test''), \\ |
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$\qquad$ (CMO\_STRING, 9, ``199911250''), (CMO\_STRING, 4, ``i386'')) \\ |
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$\quad$ (CMO\_LIST, $5$, (CMO\_INT32, SM\_popCMO), \\ |
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$\qquad$ (CMO\_INT32, SM\_popString), (CMO\_INT32, SM\_mathcap), \\ |
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$\qquad$ (CMO\_INT32, SM\_executeStringByLocalParser)) \\ |
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$\quad$ (CMO\_LIST, $1$, (CMO\_LIST, $2$, (CMO\_INT32, OX\_DATA), \\ |
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$\qquad$ (CMO\_LIST, $4$, (CMO\_INT32, CMO\_INT32), \\ |
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$\qquad\quad$ (CMO\_INT32, CMO\_STRING), (CMO\_INT32, CMO\_MATHCAP), \\ |
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$\qquad\quad$ (CMO\_INT32, CMO\_LIST)))))) |
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\end{quote} |
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\begin{itemize} |
\section{OpenXM °Ê³°¤Î¥×¥í¥¸¥§¥¯¥È} |
\item OpenMath |
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OpenMath ¥×¥í¥¸¥§¥¯¥È¤Ï¿ô³ØŪ¤Ê¥ª¥Ö¥¸¥§¥¯¥È¤ò |
OpenXM °Ê³°¤Ë¤â¿ô¼°½èÍý¥·¥¹¥Æ¥à´Ö¤ÎÄÌ¿®¤òÌܻؤ·¤¿¥×¥í¥¸¥§¥¯¥È¤Ï¸ºß¤¹¤ë. |
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http://www.openmath.org/omsoc/index.html A.M.Cohen |
\begin{itemize} |
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\item ESPRIT OpenMath Project |
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http://www.openmath.org/omsoc/ |
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¿ô³ØŪÂоݤΠSGML Ūɽµ¤Îɸ½à²½¤òÌܻؤ·¤¿Â絬ÌÏ¤Ê¥×¥í¥¸¥§¥¯¥È. °Û¤Ê¤ë¼ï |
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Îà¤Î¿ô¼°½èÍý¥·¥¹¥Æ¥à¤Î´Ö¤Ç¾ðÊó¤ò¸ò´¹¤¹¤ë¤È¤¤Ë, OpenMath ¤ÇÄêµÁ¤µ¤ì¤¿É½ |
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¸½¤òÍøÍѤ¹¤ë¤³¤È¤¬¤Ç¤¤ë. ¼ÂºÝ¤Î¾ðÊó¸ò´¹¤Î¼ê³¤¤Ï¤³¤Î¥×¥í¥¸¥§¥¯¥È¤Î |
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Èϰϳ°¤Ç¤¢¤ë¤¬, ÊÌ¤Î¥×¥í¥¸¥§¥¯¥È¤È¤·¤Æ, |
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Î㤨¤Ð MCP ¤òÍѤ¤¤¿¼ÂÁõ¤¬¤¢¤ê, GAP ¤È Axiom ¤Î´Ö¤ÇÄÌ¿®¤¬¹Ô¤ï |
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¤ì¤Æ¤¤¤ë. OpenXM ¤Ï OpenMath µ¬Ìó¤Î phrasedictionary ¤ÈƱ¤¸¥¢¥¤¥Ç¥¢¤òÍÑ |
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¤¤¤Æ¤¤¤ë. |
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\item NetSolve |
\item NetSolve |
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http://www.cs.utk.edu/netsolve/ |
http://www.cs.utk.edu/netsolve/ |
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NetSolve ¤Ï¥¯¥é¥¤¥¢¥ó¥È¡¦¥µ¡¼¥Ð·¿¤Îʬ»¶¥·¥¹¥Æ¥à¤Ç¤¢¤ê, ñ¤Ê¤ë·×»»¥·¥¹¥Æ |
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¥à°Ê¾å¤Î¤â¤Î¤òÌܻؤ·¤Æ¤¤¤ë. ¥¯¥é¥¤¥¢¥ó¥È¤ÏɬÍפ˱þ¤¸¤Æ, ¥µ¡¼¥Ð¤ò¸Æ¤Ó½Ð |
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¤·¤Æ·×»»¤ò¤µ¤»¤ë. NetSolve ¤ÎÆÃħ¤Ï, ¥µ¡¼¥Ð¤Î¸Æ¤Ó½Ð¤·¤Ë Agent ¤È¤¤¤¦¥½ |
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¥Õ¥È¥¦¥§¥¢¤ò²ðºß¤µ¤»¤ë¤³¤È¤Ç¤¢¤ë. Agent ¤Ï¸Æ¤Ó½Ð¤·Àè¤Ê¤É¤ò·èÄꤹ¤ë¥Ç¡¼ |
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¥¿¥Ù¡¼¥¹ÅªÌò³ä¤ò²Ì¤¿¤¹. ¤Þ¤¿ Agent ¤Ë¤è¤Ã¤ÆÉé²Ùʬ»¶¤¬²Äǽ¤Ë¤Ê¤ë. ¸½ºß |
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¤Î NetSolve ¤Ï RPC ¤ò´ðÁäˤ·¤Æ¼ÂÁõ¤µ¤ì¤Æ¤¤¤ë. |
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\item MP |
\item MP |
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http://symbolicNet.mcs.kent.edu/SN/areas/protocols/mp.html |
http://symbolicnet.mcs.kent.edu/SN/areas/protocols/mp.html |
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²Ê³Øµ»½Ñ·×»»¤ò¹Ô¤Ê¤¦¥½¥Õ¥È¥¦¥§¥¢´Ö¤Ç¿ô³ØŪ¤Ê¥Ç¡¼¥¿¤ò¸úΨŪ¤Ë¸ò´¹¤µ¤»¤ë¤³ |
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¤È¤òÌÜŪ¤È¤·¤¿¥×¥í¥È¥³¥ë¤òºîÀ®¤·¤Æ¤¤¤ë. ÌÚ¹½Â¤¤òÍѤ¤¤Æ, ´Êñ¤«¤Ä½ÀÆð¤Ê¤â |
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¤Î¤òÌܻؤ·¤Æ¤ª¤ê, ¥Ç¡¼¥¿¤Îɽ¸½ÊýË¡¤ä¸ò´¹ÊýË¡¤Ë¤è¤é¤º¤Ë¥½¥Õ¥È¥¦¥§¥¢¤òºî¤ë |
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¤³¤È¤¬¤Ç¤¤ë¤è¤¦¤Ë¤¹¤ë¤Î¤¬ÌÜɸ¤Ç¤¢¤ë. ¸½ºß¤¹¤Ç¤Ë, C ¸À¸ì¤ÇÍøÍѲÄǽ¤Ê¥é |
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¥¤¥Ö¥é¥ê¤¬Ä󶡤µ¤ì¤Æ¤¤¤ë. |
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\item MCP |
\item MCP (Mathematical Computation Protocol) |
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http://horse.mcs.kent.edu/~pwang/ |
http://horse.mcs.kent.edu/\~{}pwang/ |
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¿ô³ØŪ¤Ê·×»»¤ò¹Ô¤Ê¤¦¤¿¤á¤Î HTTP ¤Ë»÷¤¿¥×¥í¥È¥³¥ë. ¥¯¥é¥¤¥¢¥ó¥È¡¦¥µ¡¼ |
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¥Ð¥â¥Ç¥ë¤òºÎÍѤ·¤Æ¤ª¤ê, ¥Ô¥¢¥Ä¡¼¥Ô¥¢¤Î¥¹¥È¥ê¡¼¥à¥³¥Í¥¯¥·¥ç¥ó¤ò¹Ô¤Ê¤¦. |
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¿ô³ØŪ¤Ê¥ª¥Ö¥¸¥§¥¯¥È¤ò MP ¤ä MathML ¤ÇÄê¤á¤é¤ì¤¿ÊýË¡¤Çɽ¸½¤¹¤ë¤³¤È¤¬¹Í¤¨ |
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¤é¤ì¤Æ¤¤¤ë. ¤¹¤Ç¤Ë OpenMath ¤òÍѤ¤¤¿¼ÂÁõ¤¬Â¸ºß¤¹¤ë. |
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¤³¤Î¾ì¹ç MCP ¤Ë¤è¤Ã¤ÆÁ÷¿®¤µ¤ì¤ë¥Ç¡¼¥¿¤Ï, ËÜʸ¤Ë OpenMath ·Á¼°¤Ç¿ô¼°¤òµ |
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½Ò¤·¤¿¥Æ¥¥¹¥È¤Ç¤¢¤ë. |
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\end{itemize} |
\end{itemize} |
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\section{¸½ºßÄ󶡤µ¤ì¤Æ¤¤¤ë¥½¥Õ¥È¥¦¥§¥¢} |
\section{¸½ºßÄ󶡤µ¤ì¤Æ¤¤¤ë¥½¥Õ¥È¥¦¥§¥¢} |
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¸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 ¤¬ |
asir, sm1, Mathematica ¤¬¤¢¤ë¡£ |
¤¢¤ë. ¤³¤ì¤é¤Î¥¯¥é¥¤¥¢¥ó¥È¤«¤é OpenXM µ¬Ìó¤ËÂбþ¤·¤¿¥µ¡¼¥Ð¤ò¸Æ¤Ó½Ð¤¹¤³ |
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OpenXM µ¬³Ê¤ËÂбþ¤·¤¿¥µ¡¼¥Ð¤ò¸Æ¤Ó½Ð¤¹¤³¤È¤¬¤Ç¤¤ë¡£ |
Mathematica, gnuplot, PHC pack ¤Ê¤É¤¬¤¢¤ê, ¤½¤ì¤¾¤ì ox\_asir, ox\_sm1, |
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ox\_math, ox\_sm1\_gnuplot, ox\_sm1\_phc ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ¤ì¤Æ¤¤¤ë. |
asir, sm1, gnuplot, Mathematica ¤Ê¤É¤¬¤¢¤ê¡¢ |
¤µ¤é¤Ë OpenMath µ¬Ìó¤Î XML ɽ¸½¤Çɽ¸½¤µ¤ì¤¿¥ª¥Ö¥¸¥§¥¯¥È¤È CMO ·Á¼°¤Î¥ª¥Ö |
¤½¤ì¤¾¤ì ox\_asir, ox\_sm1, ox\_sm1\_gnuplot, ox\_math |
¥¸¥§¥¯¥È¤òÁê¸ßÊÑ´¹¤¹¤ë¥½¥Õ¥È¥¦¥§¥¢¤¬ JAVA ¤Ë¤è¤Ã¤Æ¼ÂÁõ¤µ¤ì¤Æ¤ª¤ê, |
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OMproxy ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ¤ì¤Æ¤¤¤ë. |
¤Þ¤¿¡¢ OpenMath µ¬³Ê¤Î XML ɽ¸½¤Çɽ¸½¤µ¤ì¤¿¥ª¥Ö¥¸¥§¥¯¥È¤È CMO ·Á¼°¤Î |
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¥ª¥Ö¥¸¥§¥¯¥È¤òÊÑ´¹¤¹¤ë¥½¥Õ¥È¥¦¥§¥¢¤¬ JAVA ¤Ë¤è¤Ã¤Æ¼ÂÁõ¤µ¤ì¤Æ¤ª¤ê¡¢ |
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OMproxy ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ¤ì¤Æ¤¤¤ë¡£ |
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\begin{thebibliography}{99} |
\begin{thebibliography}{99} |
\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, |
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Vol 7, No 2, 2--17. (ISBN4-87243-086-7, SEG ½ÐÈÇ, Tokyo). |
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\bibitem{OpenXM-1999} |
\bibitem{OpenXM-1999} |
ÌîϤÀµ¹Ô, ¹â»³¿®µ£: |
ÌîϤÀµ¹Ô, ¹â»³¿®µ£: |
{Open XM ¤ÎÀ߷פȼÂÁõ --- Open message eXchange protocol for Mathematics}, |
{Open XM ¤ÎÀ߷פȼÂÁõ |
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--- Open message eXchange protocol for Mathematics}, |
1999/11/22 |
1999/11/22 |
\end{thebibliography} |
\end{thebibliography} |
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