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%% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.122 2000/01/07 09:07:53 tam Exp $ |
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1. °ÕÌ£¤â¤Ê¤¤½¤¾þ²á¾ê¤Ê¸ì¶ç¤ÏÇÓ½ü¤·¤Þ¤·¤ç¤¦¡£\\ |
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3. ¤»¤Ã¤«¤¯ fill ¤·¤Æ¤¤¤ë¤Î¤ò¤¤¤¸¤é¤Ê¤¤¤Ç¤¯¤ì¡£ |
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\title{OpenXM ¥×¥í¥¸¥§¥¯¥È¤Î¸½¾õ¤Ë¤Ä¤¤¤Æ} |
\author{±ü ë ¡¡ ¹Ô ±û\affil{¿À¸ÍÂç³ØÂç³Ø±¡¼«Á³²Ê³Ø¸¦µæ²Ê} |
\author{±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 ¾® ¸¶ ¡¡ ¸ù Ǥ\affil{¶âÂôÂç³ØÍý³ØÉô} |
\and ¾® ¸¶ ¡¡ ¸ù Ǥ\affil{¶âÂôÂç³ØÍý³ØÉô} |
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\and Á° Àî ¡¡ ¾ ½¨\affil{¿À¸ÍÂç³ØÍý³ØÉô} |
\and Á° Àî ¡¡ ¾ ½¨\affil{¿À¸ÍÂç³ØÍý³ØÉô} |
\mail{maekawa@math.sci.kobe-u.ac.jp} |
\mail{maekawa@math.sci.kobe-u.ac.jp} |
} |
} |
%\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¤¤¤¿. |
¤³¤ÎÊýË¡¤Ç¤ÏÁê¼ê¦¤Î¥½¥Õ¥È¤¬ asir ¤Ê¤Î¤« kan/sm1 ¤Ê¤Î¤«¤òȽÊ̤¹¤ë¤Ê¤É¤·¤Æ¡¢ |
¤³¤ÎÊýË¡¤Ç¤ÏÁê¼ê¦¤Î¥½¥Õ¥È¤¬ asir ¤Ê¤Î¤« kan/sm1 ¤Ê¤Î¤«¤òȽÊ̤¹¤ë¤Ê¤É¤· |
Áê¼ê¦¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë¹ç¤ï¤»¤¿Ê¸»úÎó¤òºîÀ®¤·¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£ |
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¤³¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÁ÷¤ëÊýË¡¤Ï¡¢ |
¤³¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÁ÷¤ëÊýË¡¤Ï, ¸úΨŪ¤Ç¤¢¤ë¤È¤Ï¤¤¤¤Æñ |
¸úΨŪ¤Ç¤¢¤ë¤È¤Ï¤¤¤¤Æñ¤¤¤¬¡¢»È¤¤¤ä¤¹¤¤¤È¤â¸À¤¨¤ë¡£ |
¤¤¤¬, »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 ¤òÍѤ¤ |
¸½ºß¤Î¤È¤³¤í¤Ï TCP/IP ¤òÍѤ¤¤¿ÄÌ¿®¤·¤«¼ÂÁõ¤µ¤ì¤Æ¤¤¤Ê¤¤¡£ |
¤¿ÄÌ¿®¤·¤«¼ÂÁõ¤µ¤ì¤Æ¤¤¤Ê¤¤. |
¤½¤³¤Ç¡¢¤³¤ÎÏÀʸ¤Ç¤Ï¶ñÂÎŪ¤Ê¼ÂÁõ¤Ï TCP/IP ¤òÍѤ¤¤Æ¤¤¤ë¤È²¾Äꤹ¤ë¡£ |
\footnote{¤¿¤À¤· asir ¤Ë¤Ï MPI ¤òÍѤ¤¤¿¼ÂÁõ¤â¤¢¤ë.} |
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¤½¤³¤Ç, ¤³¤ÎÏÀʸ¤Ç¤Ï TCP/IP ¤òÍѤ¤¤¿¼ÂÁõ¤Ë½àµò¤·¤ÆOpenXM ¤ÎÀâÌÀ¤ò¤¹¤ë. |
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\section{OpenXM ¤Î¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤} |
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ÄÌ¿®¤ÎÊýË¡¤Ë¤è¤Ã¤Æ¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤¤ÏÊѤï¤ë¡£ |
\section{OpenXM ¤Î¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤}\label{sec:messages} |
Á°Àá¤Ç²¾Äꤷ¤¿¤È¤ª¤ê¡¢¤³¤ÎÏÀʸ¤Ç¤Ï TCP/IP ¤Î¾ì¹ç¤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¡¢ |
ÄÌ¿®¤ÎÊýË¡¤Ë¤è¤Ã¤Æ¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤¤ÏÊѤï¤ë. ¤³¤ÎÏÀʸ¤Ç¤Ï TCP/IP ¤Î¾ì¹ç |
¼¡¤Î¤è¤¦¤Ê¹½Â¤¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£ |
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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, ¼¡ |
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\begin{verbatim} |
\begin{verbatim} |
#define OX_COMMAND 513 |
#define OX_COMMAND 513 |
#define OX_DATA 514 |
#define OX_DATA 514 |
#define OX_SYNC_BALL 515 |
#define OX_SYNC_BALL 515 |
#define OX_DATA_WITH_LENGTH 521 |
#define OX_DATA_WITH_LENGTH 521 |
#define OX_DATA_OPENMATH_XML 523 |
#define OX_DATA_OPENMATH_XML 523 |
#define OX_DATA_OPENMATH_BINARY 524 |
#define OX_DATA_OPENMATH_BINARY 524 |
#define OX_DATA_MP 525 |
#define OX_DATA_MP 525 |
\end{verbatim} |
\end{verbatim} |
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¥ª¥Ö¥¸¥§¥¯¥È¤òɽ¤·¤Æ¤¤¤ë. ¤³¤ÎÏÀʸ¤Ç¤Ï OX\_DATA ¤È OX\_COMMAND ¤Ç¼±Ê̤µ |
¤³¤ÎÏÀʸ¤Ç¤Ï OX\_DATA ¤È OX\_COMMAND ¤Ç¼±Ê̤µ¤ì¤ë |
¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Ë¤Ä¤¤¤Æ¤Î¤ß, ÀâÌÀ¤¹¤ë. |
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Ê̻ҤÎÄêµÁÊýË¡¤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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¥Ð¤È¥¯¥é¥¤¥¢¥ó¥È¤Î´Ö¤Ç¹Ô¤Ê¤ï¤ì¤ë. |
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\footnote{¸½ºß, ¼ç¤ËÌîϤ¤¬ OpenXM ¤Î·×»»¥â¥Ç¥ë¤Î³ÈÄ¥¤ò¹Í¤¨¤Æ¤¤¤ë. ¸úΨ |
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¡¢ |
Ū¤Êʬ»¶·×»»¤Î¥¢¥ë¥´¥ê¥º¥à¤Î¿¤¯¤Ï¥µ¡¼¥ÐƱ»Î¤ÎÄÌ¿®¤âÍ׵᤹¤ë¤«¤é¤Ç¤¢¤ë.} |
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¥¯¥é¥¤¥¢¥ó¥È¤«¤é¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ê, ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤«¤é¥á¥Ã¥»¡¼ |
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\section{OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó} |
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OpenXM µ¬Ìó¤Ç¤Ï¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ç¤¢¤ë¤ÈÄêµÁ¤·¤Æ¤¤¤ë¡£°Ê²¼¡¢OpenXM |
\section{OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó}\label{sec:oxsm} |
¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤È¸Æ¤Ö¡£¤³¤ÎÀá¤Ç¤ÏOpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Î¹½Â¤¤Ë¤Ä¤¤¤ÆÀâÌÀ |
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OpenXM µ¬Ìó¤Ç¤Ï¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ç¤¢¤ë¤ÈÄêµÁ¤·¤Æ¤¤¤ë. °Ê²¼, OpenXM |
¤¹¤ë¤¬¡¢OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤¬¥¹¥¿¥Ã¥¯¤ËÀѤࡢ¥ª¥Ö¥¸¥§¥¯¥È¤Î¹½Â¤¤Þ¤Ç¤Ï |
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ɽµ¤Ë¤·¤¿¤¬¤¦¡£OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤ËÂФ¹¤ëÌ¿Îá¤Ï¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤ë¤³ |
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¤È¤Ï¤Ê¤¤¡£¸½ºß¤Î¤È¤³¤í¡¢OpenXM µ¬Ìó¤Ç¤Ï°Ê²¼¤ÎÌ¿Î᤬ÄêµÁ¤µ¤ì¤Æ¤¤¤ë¡£ |
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¤³¤Î¤è¤¦¤Ê¶¦Ä̤Υǡ¼¥¿·Á¼°¤È³Æ¥·¥¹¥Æ¥à¤Ç¤Î¸ÇͤΥǡ¼¥¿·Á¼°¤È¤ÎÊÑ´¹¤ÎÌäÂê |
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¤Ï OpenXM ¤Ë¸Â¤Ã¤¿¤³¤È¤Ç¤Ï¤Ê¤¤. OpenMath (\ref{sec:other} Àá¤ò»²¾È¤Î¤³ |
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¤È) ¤Ç¤Ï¤³¤ÎÊÑ´¹¤ò¹Ô¤¦¥½¥Õ¥È¥¦¥§¥¢¤ò Phrasebook ¤È¸Æ¤ó¤Ç¤¤¤ë. |
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¼¡¤Ë OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤ÎÌ¿Îᥳ¡¼¥É¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë. OpenXM ¥¹¥¿¥Ã¥¯ |
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¥Þ¥·¥ó¤Ë¤ª¤±¤ë¤¹¤Ù¤Æ¤ÎÌ¿Îá¤Ï 4 ¥Ð¥¤¥È¤ÎŤµ¤ò»ý¤Ä. OpenXM µ¬Ìó¤Î¾¤Îµ¬ |
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\begin{verbatim} |
\begin{verbatim} |
#define SM_popSerializedLocalObject 258 |
#define SM_popSerializedLocalObject 258 |
#define SM_popCMO 262 |
#define SM_popCMO 262 |
#define SM_popString 263 |
#define SM_popString 263 |
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|
#define SM_mathcap 264 |
#define SM_mathcap 264 |
#define SM_pops 265 |
#define SM_pops 265 |
#define SM_setName 266 |
#define SM_setName 266 |
#define SM_evalName 267 |
#define SM_evalName 267 |
#define SM_executeStringByLocalParser 268 |
#define SM_executeStringByLocalParser 268 |
#define SM_executeFunction 269 |
#define SM_executeFunction 269 |
#define SM_beginBlock 270 |
#define SM_beginBlock 270 |
#define SM_endBlock 271 |
#define SM_endBlock 271 |
Line 181 OpenXM µ¬Ìó¤Ç¤Ï¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ç¤¢¤ë¤ÈÄêµÁ¤·¤Æ¤ |
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Line 185 OpenXM µ¬Ìó¤Ç¤Ï¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ç¤¢¤ë¤ÈÄêµÁ¤·¤Æ¤ |
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#define SM_executeStringByLocalParserInBatchMode 274 |
#define SM_executeStringByLocalParserInBatchMode 274 |
#define SM_getsp 275 |
#define SM_getsp 275 |
#define SM_dupErrors 276 |
#define SM_dupErrors 276 |
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#define SM_DUMMY_sendcmo 280 |
#define SM_DUMMY_sendcmo 280 |
#define SM_sync_ball 281 |
#define SM_sync_ball 281 |
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#define SM_control_kill 1024 |
#define SM_control_kill 1024 |
#define SM_control_to_debug_mode 1025 |
#define SM_control_to_debug_mode 1025 |
#define SM_control_exit_debug_mode 1026 |
#define SM_control_exit_debug_mode 1026 |
Line 194 OpenXM µ¬Ìó¤Ç¤Ï¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ç¤¢¤ë¤ÈÄêµÁ¤·¤Æ¤ |
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Line 196 OpenXM µ¬Ìó¤Ç¤Ï¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ç¤¢¤ë¤ÈÄêµÁ¤·¤Æ¤ |
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#define SM_control_reset_connection 1030 |
#define SM_control_reset_connection 1030 |
\end{verbatim} |
\end{verbatim} |
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\section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤}\label{sec:cmo} |
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¥Ø¥Ã¥À & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\ |
¥Ü¥Ç¥£¤ÎŤµ¤Ï¤½¤ì¤¾¤ì¤Î¥Ç¡¼¥¿¤Ë¤è¤Ã¤Æ°Û¤Ê¤ë¤¬¡¢0¤Ç¤â¤è¤¤¡£ |
\hline |
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\end{tabular} |
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\end{center} |
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¥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¤¤. |
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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 |
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¥Ø¥Ã¥À¤Ï°ì¤Ä¤À¤±¤Î¾ðÊó¤ò´Þ¤à. ¤³¤Î4¥Ð¥¤¥È¤Î¥Ø¥Ã¥À¤Î¤³¤È¤ò¥¿¥°¤È¤â¤¤¤¦. |
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¤µ¤Æ, CMO ¤Ç¤Ï, ¥¿¥°¤Ë¤è¤Ã¤Æ¥Ü¥Ç¥£¤ÎÏÀÍýŪ¹½Â¤¤¬·èÄꤹ¤ë. ¤¹¤Ê¤ï¤Á, ¥¿ |
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¥°¤Ï¤½¤ì¤¾¤ì¤Î¥Ç¡¼¥¿¹½Â¤¤È1ÂÐ1¤ËÂбþ¤¹¤ë¼±Ê̻ҤǤ¢¤ë. ¤½¤ì¤¾¤ì¤ÎÏÀÍýŪ |
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¹½Â¤¤Ï\cite{OpenXM-1999} ¤Ë¾Ü½Ò¤µ¤ì¤Æ¤¤¤ë. ¸½ºß¤Î OpenXM µ¬Ìó¤Ç¤Ï°Ê²¼¤Î |
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CMO ¤¬ÄêµÁ¤µ¤ì¤Æ¤¤¤ë. |
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\begin{verbatim} |
\begin{verbatim} |
ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ |
#define CMO_ERROR2 0x7f000002 |
ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ |
#define CMO_NULL 1 |
ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ |
#define CMO_INT32 2 |
ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ |
#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 |
\end{verbatim} |
\end{verbatim} |
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¤³¤ÎÃæ¤Ç CMO\_ERROR2, CMO\_NULL, CMO\_INT32, CMO\_DATUM, CMO\_STRING, |
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CMO\_MATHCAP, CMO\_LIST ¤Ç¼±Ê̤µ¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤ÏºÇ¤â´ðËÜŪ¤Ê¥ª¥Ö¥¸¥§ |
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¥¯¥È¤Ç¤¢¤Ã¤Æ, ¤¹¤Ù¤Æ¤Î OpenXM Âбþ¥·¥¹¥Æ¥à¤Ë¼ÂÁõ¤µ¤ì¤Æ¤¤¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤. |
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CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë¿ÇÜĹÀ°¿ô¤òÍý²ò¤·¤Æ¤ª¤¯¤È¡¢ |
¤³¤ì¤é¤Ë¤Ä¤¤¤Æ¤Î²òÀâ¤ò¹Ô¤¦Á°¤ËµË¡¤Ë¤Ä¤¤¤Æ, ¾¯¤·ÀâÌÀ¤·¤Æ¤ª¤¯. ¤³¤ÎÏÀʸ |
CMO ·Á¼°¤Î¾¤Î¥Ç¡¼¥¿¹½Â¤¤À¤±¤Ç¤Ê¤¯¡¢ |
¤Ç¤Ï, Âçʸ»ú¤Ç CMO\_INT32 ¤È½ñ¤¤¤¿¾ì¹ç¤Ë¤Ï, ¾åµ¤ÇÄêµÁ¤·¤¿¼±Ê̻Ҥòɽ¤¹. |
OpenXM µ¬Ìó¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ëÍÍ¡¹¤Ê¥Ç¡¼¥¿¹½Â¤¤òÍý²ò¤¹¤ë½õ¤±¤Ë¤Ê¤ë¤È»×¤¨¤ë¤Î¤Ç¡¢ |
¤Þ¤¿ CMO\_INT32 ¤Ç¼±Ê̤µ¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤Î¥¯¥é¥¹(¤¢¤ë¤¤¤Ï¥Ç¡¼¥¿¹½Â¤) ¤ò |
¤³¤³¤Ç¤Ï CMO ·Á¼°¤Î¿ÇÜĹÀ°¿ô¤Î¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤¹¤ë¡£ |
cmo\_int32 ¤È¾®Ê¸»ú¤Çɽ¤¹¤³¤È¤Ë¤¹¤ë. |
%¤³¤³¤Ç¤Ï CMO ·Á¼°¤ÎÃæ¤Ç¤â¤è¤¯»È¤ï¤ì¤ë¤â¤Î¤Î¤ß¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë¡£ |
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CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë¥Ç¡¼¥¿¤Ï¿ÇÜĹÀ°¿ô°Ê³°¤Ë¤â |
¤µ¤Æ cmo ¤òɽ¸½¤¹¤ë¤¿¤á¤Î°ì¤Ä¤ÎµË¡¤òƳÆþ¤¹¤ë. ¤³¤ÎµË¡¤Ï CMO expression |
ʸ»úÎó¤ä¥ê¥¹¥È¹½Â¤¤Ê¤É¤¬¤¢¤ë¡£¤É¤Î¤è¤¦¤Ê¥Ç¡¼¥¿¤Ç¤¢¤ë¤«¤Ï |
¤È¸Æ¤Ð¤ì¤Æ¤¤¤ë. ¤½¤ÎÀµ³Î¤Ê·Á¼°ÅªÄêµÁ¤Ï \cite{OpenXM-1999} ¤ò»²¾È¤¹¤ë¤³¤È. |
¥Ç¡¼¥¿¤ÎÀèƬ 4 ¥Ð¥¤¥È¤Ë¤¢¤ë(¥á¥Ã¥»¡¼¥¸¤Î¼±Ê̻ҤȤÏÊ̤ˤ¢¤ë)¥¿¥°¤ò¸«¤ì¤Ð |
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ȽÊ̤Ǥ¤ë¤è¤¦¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£ |
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¤³¤ì¤Ï¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ÎȽÊ̤λÅÊý¤È¤ª¤Ê¤¸¤Ç¤¢¤ë¡£ |
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¤Ê¤ª¡¢¥¿¥°¤Ï³Æ¥Ç¡¼¥¿Ëè¤Ë 32 bit ¤ÎÀ°¿ô¤Çɽ¤µ¤ì¤Æ¤ª¤ê¡¢ |
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> ¤Ê¤ª¡¢¥¿¥°¤Ï³Æ¥Ç¡¼¥¿Ëè¤Ë 32 bit ¤ÎÀ°¿ô¤Çɽ¤µ¤ì¤Æ¤¤¤ë¡£ |
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259a257,259 |
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¿ÇÜĹÀ°¿ô¤Ï 20 ¤È¤Ê¤Ã¤Æ¤¤¤ë¡£ |
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¤è¤¯»È¤ï¤ì¤ë¤È»×¤ï¤ì¤ë CMO ·Á¼°¤Î¥¿¥°¤ò¤¢¤²¤Æ¤ª¤¯¡£ |
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\begin{verbatim} |
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#define CMO_INT32 2 /* (CMO ·Á¼°¤Î)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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¥¿¥°°Ê¹ß¤Ï¥Ç¡¼¥¿ËÜÂΤǤ¢¤ê¡¢¥Ç¡¼¥¿ËÜÂΤι½Â¤¤Ï¥Ç¡¼¥¿¤Î¼ïÎà¤Ë¤è¤Ã¤Æ°Û¤Ê¤ë¡£ |
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À°¿ôÃÍ $123456789$ ¤òɽ¤¹ CMO\_INT32 ¤Ï |
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\begin{tabular}{|c|c|} \hline |
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CMO\_INT32 & $123456789$ \\ \hline |
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\end{tabular} |
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¤ÈÄêµÁ¤µ¤ì¤Æ¤¤¤ë¤¬¡¢¤³¤ì¤ò°Ê¸å (CMO\_INT32, 123456789) ¤È¤·¤Æɽ¤¹¡£ |
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> ¤³¤ÎɽµÊý¤ò CMO expression ¤È¤¤¤¦¡£ |
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> ƱÍͤˡ¢Ä¹¤µ 6 ¤Îʸ»úÎó {\tt ``OpenXM''} ¤ò CMO\_STRING ¤Çɽ¤¹¤È¡¢ |
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> (CMO\_STRING, 6, ``OpenXM'') ¤È¤Ê¤ë¡£ |
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CMO expssion ¤Ï Lisp É÷ɽ¸½¤Î°ì¼ï¤Ç, cmo ¤ò³ç¸Ì¤Ç°Ï¤ó¤À¥ê¥¹¥È¤È¤·¤Æɽ¸½ |
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¤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} $n$)) |
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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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¤³¤³¤Ç 32 bit ¤ÎÀ°¿ô¤Îɽ¸½ÊýË¡¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ëɬÍפ¬¤¢¤ë¡£ |
¤µ¤Æ, ¤³¤ÎµË¡¤Î¤â¤È¤Ç cmo\_int32 ¤ò¼¡¤Î¥Ç¡¼¥¿¹½Â¤¤Ç¤¢¤ë¤ÈÄêµÁ¤¹¤ë. |
OpenXM µ¬Ìó¤Ç¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤Ç 32 bit ¤ÎÀ°¿ô 20 ¤ò |
\begin{quote} |
{\tt 00 00 00 14} ¤Èɽ¤¹ÊýË¡¤È {\tt 14 00 00 00} ¤Èɽ¤¹ÊýË¡¤¬¤¢¤ë¡£ |
cmo\_int32 := (CMO\_INT32, {\sl int32}) |
¤³¤Îɽ¸½ÊýË¡¤Î°ã¤¤¤Ï¥¯¥é¥¤¥¢¥ó¥È¤È¥µ¡¼¥Ð¤ÎºÇ½é¤ÎÀܳ»þ¤Ë |
\end{quote} |
ÁÐÊý¤Î¹ç°Õ¤Ç·èÄꤹ¤ë¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£ |
ƱÍͤË, cmo\_null, cmo\_string, cmo\_list, cmo\_mathcap ¤Î¥·¥ó¥¿¥Ã |
¤Ê¤ª¡¢¹ç°Õ¤¬¤Ê¤¤¾ì¹ç¤Ë¤ÏÁ°¼Ô¤Îɽ¸½ÊýË¡ |
¥¯¥¹¤Ï¼¡¤Î¤è¤¦¤ËÄêµÁ¤µ¤ì¤ë. |
(°Ê¸å¡¢¤³¤Îɽ¸½ÊýË¡¤ò¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¤È¸Æ¤Ö)¤ò |
\begin{quote} |
»È¤¦¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£ |
cmo\_null := (CMO\_NULL) \\ |
¤Þ¤¿¡¢Éé¤Î¿ô¤òɽ¸½¤¹¤ëɬÍפ¬¤¢¤ë¤È¤¤Ë¤Ï¡¢ |
cmo\_string := (CMO\_STRING, {\sl int32} $n$, {\sl string} $s$) \\ |
2 ¤ÎÊä¿ôɽ¸½¤ò»È¤¦¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£ |
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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> Àè¤Û¤É¤Î¡¢ (CMO\_INT32, 123456789) ¤ò¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¤Ç |
\section{mathcap ¤Ë¤Ä¤¤¤Æ} |
> ¥Ð¥¤¥ÈÎó¤Ëľ¤¹¤È¡¢ {\tt 00 00 00 02 07 5b cd 15} ¤È¤Ê¤ê¡¢ |
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> (CMO\_STRING, 6, ``OpenXM'') ¤Ï {\tt 00 00 00 04 00 00 00 06 4f 70 65 6e 58 4d} |
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OpenXM µ¬Ìó¤Ç¤Ï, ÄÌ¿®»þ¤ËÍѤ¤¤é¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò³Æ¥½¥Õ¥È¥¦¥§¥¢¤¬À© |
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¸Â¤¹¤ëÊýË¡¤òÍÑ°Õ¤·¤Æ¤¤¤ë. ¤³¤ì¤Ï³Æ¥½¥Õ¥È¥¦¥§¥¢¤Î¼ÂÁõ¤Ë¤è¤Ã¤Æ¤Ï¤¹¤Ù¤Æ¤Î |
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¥á¥Ã¥»¡¼¥¸¤ò¥µ¥Ý¡¼¥È¤¹¤ë¤Î¤¬º¤Æñ¤Ê¾ì¹ç¤¬¤¢¤ë¤«¤é¤Ç¤¢¤ë. ¤Þ¤¿, ³Æ¥½¥Õ¥È |
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¥¦¥§¥¢¤Ç¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò³ÈÄ¥¤·¤¿¤¤¾ì¹ç¤Ë¤â͸ú¤Ç¤¢¤ë. ¤³¤ÎÀ©¸Â(¤¢¤ë¤¤ |
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¤Ï³ÈÄ¥) ¤Ï mathcap ¤È¸Æ¤Ð¤ì¤ë¥Ç¡¼¥¿¹½Â¤¤Ë¤è¤Ã¤Æ¹Ô¤ï¤ì¤ë. ¤³¤ÎÀá¤Ç¤Ï |
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mathcap ¤Î¥Ç¡¼¥¿¹½Â¤¤È, ¶ñÂÎŪ¤Ê¥á¥Ã¥»¡¼¥¸¤ÎÀ©¸Â¤Î¼ê³¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë. |
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CMO ·Á¼°¤Î¿ÇÜĹÀ°¿ô¤Ï¡¢ Gnu MP¥é¥¤¥Ö¥é¥êÅù¤ò»²¹Í¤Ë¤·¤Æ¤ª¤ê¡¢ |
¤Þ¤º, ¼ê³¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤·¤è¤¦. |
Éä¹æÉÕ¤ÀäÂÐÃÍɽ¸½¤òÍѤ¤¤Æ¤¤¤ë¡£ |
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¥¿¥°°Ê¹ß¤Î·Á¼°¤Ï¼¡¤Î¤è¤¦¤Ë¤Ê¤ë¡£ |
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\begin{tabular}{|c|c|c|c|c|} \hline |
Âè°ì¤Ë¥µ¡¼¥Ð¤Îµ¡Ç½¤òÀ©¸Â¤¹¤ë¤Ë¤Ï¼¡¤Î¤è¤¦¤Ë¤¹¤ë. ¥¯¥é¥¤¥¢¥ó¥È¤¬ mathcap |
$f$ & $b_0$ & $b_1$ & $\cdots$ & $b_{n-1}$ \\ \hline |
¥ª¥Ö¥¸¥§¥¯¥È¤ò¥µ¡¼¥Ð¤ØÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï¼õ¤±¼è¤Ã¤¿mathcap ¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà. |
\end{tabular} |
¼¡¤Ë¥¯¥é¥¤¥¢¥ó¥È¤¬Ì¿Îá SM\_setMathCap ¤òÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤ÎºÇ¾å°Ì |
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¤ËÀѤޤì¤Æ¤¤¤ë mathcap ¥ª¥Ö¥¸¥§¥¯¥È¤ò¼è¤ê½Ð¤·, mathcap ¤ÇÀßÄꤵ¤ì¤Æ¤¤¤Ê |
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¤¤¥á¥Ã¥»¡¼¥¸¤ò¥¯¥é¥¤¥¢¥ó¥È¤ØÁ÷¤é¤Ê¤¤¤è¤¦¤ËÀ©¸Â¤ò¹Ô¤¦. |
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¤³¤³¤Ç¡¢ 1 ¤Ä¤ÎÏÈ¤Ï 4 ¥Ð¥¤¥È¤òɽ¤·¡¢ |
ÂèÆó¤Ë¥¯¥é¥¤¥¢¥ó¥È¤òÀ©¸Â¤¹¤ë¤Ë¤Ï¼¡¤Î¤è¤¦¤Ë¤¹¤ë. ¤Þ¤º, ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼ |
$f$ ¤ÏÉä¹æÉÕ¤ 32 ¥Ó¥Ã¥ÈÀ°¿ô¤ò¡¢ |
¥Ð¤ËÌ¿Îá SM\_mathcap ¤òÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï mathcap ¥ª¥Ö¥¸¥§¥¯¥È¤ò¥¹¥¿¥Ã¥¯¤Ë |
$b_0$, $b_1$, $\cdots$, $b_{n-1}$ ¤ÏÉä¹æ¤Ê¤· 32 ¥Ó¥Ã¥ÈÀ°¿ô¤òɽ¤·¤Æ¤¤¤ë¡£ |
ÀѤà. ¤µ¤é¤ËÌ¿Îá SM\_popCMO ¤òÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤ÎºÇ¾å°Ì¤Î¥ª¥Ö¥¸¥§ |
¤µ¤é¤Ë¡¢ $|f| = n$ ¤¬À®¤êΩ¤¿¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£ |
¥¯¥È(¤¹¤Ê¤ï¤Á mathcap ¥ª¥Ö¥¸¥§¥¯¥È)¤ò¥Ü¥Ç¥£¤È¤¹¤ë¥á¥Ã¥»¡¼¥¸¤ò¥¯¥é¥¤¥¢¥ó |
¤³¤Î¥ª¥Ö¥¸¥§¥¯¥È¤Ï |
¥È¤ËÁ÷ÉÕ¤¹¤ë. ¥¯¥é¥¤¥¢¥ó¥È¤Ï¤½¤Î¥ª¥Ö¥¸¥§¥¯¥È¤ò²òÀϤ·¤Æ, À©¸Â¤ò¤«¤±¤ë. |
\[ \mbox{sgn}(f) \times \{ b_0 (2^{32})^0 + b_1 (2^{32})^1 + \cdots |
|
+ b_{n-1} (2^{32})^{n-1} \} \] |
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¤È¤¤¤¦À°¿ô¤Ç¤¢¤ë¤ÈÄêµÁ¤µ¤ì¤Æ¤¤¤ë¡£ |
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¤¿¤À¤·¡¢ |
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\[ \mbox{sgn}(f) = \left\{ \begin{array}{ll} |
|
1 & f>0 \\ |
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0 & f=0 \\ |
|
-1 & f<0 \\ \end{array} \right. \] |
|
¤Ç¤¢¤ë¡£ |
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¤³¤³¤Ç¶ñÂÎÎã¤ò¤À¤½¤¦¡£ |
¼¡¤Ë mathcap ¤Î¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë. |
$4294967298 = 1 \times 2^{32} + 2$ ¤ò CMO ·Á¼°¤Î |
mathcap ¤Ï cmo ¤Î°ì¼ï¤Ç¤¢¤ë¤Î¤Ç, ¤¹¤Ç¤ËÀâÌÀ¤·¤¿¤è¤¦¤Ë |
¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¡¢Â¿ÇÜĹÀ°¿ô¤Çɽ¸½¤¹¤ë¤È¡¢ |
\begin{quote} |
\begin{center} |
cmo\_mathcap := (CMO\_MATHCAP, {\sl cmo\_list}) |
{\tt 00 00 00 14 00 00 00 02 00 00 00 02 00 00 00 01} |
\end{quote} |
\end{center} |
¤Î¹½Â¤¤ò¤â¤Ä(\ref{sec:cmo} Àá¤ò»²¾È¤Î¤³¤È). |
¤È¤Ê¤ë¡£¤Þ¤¿¡¢Æ±¤¸É½¸½ÊýË¡¤Ç $-1$ ¤òɽ¸½¤¹¤ë¤È¡¢ |
¥Ü¥Ç¥£¤Ï cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ç¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤. |
\begin{center} |
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{\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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¤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 |
|
¥ê¥¹¥ÈŤ¬ 3 °Ê¾å¤Ç¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤. |
|
\begin{quote} |
|
(CMO\_LIST, {\sl int32}, {\sl cmo} $a$, {\sl cmo} $b$, {\sl cmo} $c$, $\ldots$) |
|
\end{quote} |
|
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\section{mathcap ¤Ë¤Ä¤¤¤Æ} |
Âè°ìÍ×ÁÇ $a$ ¤Ï¤Þ¤¿ cmo\_list ¤Ç¤¢¤ê, ¥ê¥¹¥ÈĹ¤Ï 4 °Ê¾å, $a_1$ ¤Ï |
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cmo\_int32 ¤Ç¥Ð¡¼¥¸¥ç¥ó¤òɽ¤¹. $a_2$, $a_3$, $a_4$ ¤Ï cmo\_string ¤Ç¤¢ |
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¤ê, ¤½¤ì¤¾¤ì¿ô³Ø¥·¥¹¥Æ¥à¤Î̾Á°, ¥Ð¡¼¥¸¥ç¥ó, HOSTTYPE ¤òɽ¤¹¤³¤È¤Ë¤Ê¤Ã¤Æ |
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¤¤¤ë. |
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\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} |
|
|
OpenXM µ¬Ìó¤Ç¤Ï¡¢ÄÌ¿®»þ¤ËÍѤ¤¤é¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò³Æ¥½¥Õ¥È¥¦¥§¥¢¤¬À© |
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 |
¥»¡¼¥¸¤ò¥µ¥Ý¡¼¥È¤¹¤ë¤Î¤¬º¤Æñ¤Ê¾ì¹ç¤¬¤¢¤ë¤«¤é¤Ç¤¢¤ë¡£¤Þ¤¿¡¢³Æ¥½¥Õ¥È¥¦¥§¥¢ |
¥³¡¼¥É¤Ç¤¢¤ë. \ref{sec:oxsm} Àá¤ÇÀâÌÀ¤·¤¿¤¬, ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤Ï¤¹ |
¤Ç¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò³ÈÄ¥¤·¤¿¤¤¾ì¹ç¤Ë¤â͸ú¤Ç¤¢¤ë¡£¤³¤ÎÀ©¸Â(¤¢¤ë¤¤¤Ï³ÈÄ¥) |
¤Ù¤Æ {\sl int32} ¤Çɽ¤µ¤ì¤Æ¤¤¤¿¤³¤È¤ËÃí°Õ¤·¤è¤¦. |
¤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 |
\begin{quote} |
¥¿¹½Â¤¤È¡¢¶ñÂÎŪ¤Ê¥á¥Ã¥»¡¼¥¸¤ÎÀ©¸Â¤Î¼ê³¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë¡£ |
(CMO\_LIST, {\sl int32} $n$, |
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{\sl cmo\_int32} $b_1$, $\ldots$, {\sl cmo\_int32} $b_n$) |
|
\end{quote} |
|
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¤Þ¤º¡¢¼ê³¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤·¤è¤¦¡£ |
Âè»°Í×ÁÇ $c$ ¤Ï°Ê²¼¤Î¤è¤¦¤Ê cmo\_list ¤Ç¤¢¤ê, ¥ª¥Ö¥¸¥§¥¯¥È¤ÎÁ÷¼õ¿®¤òÀ©¸æ |
¥¯¥é¥¤¥¢¥ó¥È¦¤Î mathcap ¤ò¥µ¡¼¥Ð¤ØÁ÷¤ë¤È¡¢ |
¤¹¤ë¤¿¤á¤ËÍѤ¤¤é¤ì¤ë. Á÷¼õ¿®¤ÎÀ©¸æ¤Ï¥á¥Ã¥»¡¼¥¸¤Î¼ïÎऴ¤È¤Ë¹Ô¤ï¤ì¤ë. |
¤¹¤Ç¤ËÀâÌÀ¤·¤¿¤è¤¦¤Ë¡¢¥µ¡¼¥Ð¤Ï¼õ¤±¼è¤Ã¤¿ mathcap ¤ò¥¹¥¿¥Ã¥¯¤ËÀѤ߾夲¤ë¡£ |
\begin{quote} |
¼¡¤Ë¥¯¥é¥¤¥¢¥ó¥È¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤ò¥µ¡¼¥Ð¤ØÁ÷¤ë¤³¤È¤Ë¤è¤ê¡¢ |
(CMO\_LIST, {\sl int32} $m$, {\sl cmo\_list} $\ell_1$, $\ldots$, |
¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤Æ¤¤¤ë mathcap ¤ò¼è¤ê½Ð¤·¡¢ |
{\sl cmo\_list} $\ell_m$) |
mathcap ¤ÇÀßÄꤵ¤ì¤Æ¤¤¤Ê¤¤¥á¥Ã¥»¡¼¥¸¤ò¥¯¥é¥¤¥¢¥ó¥È¦¤Ø |
\end{quote} |
Á÷¤é¤Ê¤¤¤è¤¦¤ËÀßÄꤹ¤ë¡£ |
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¥µ¡¼¥Ð¦¤Î mathcap ¤¬Íߤ·¤¤¾ì¹ç¤Ë¤Ï°Ê²¼¤Î¤è¤¦¤Ë¤¹¤ë¡£ |
»ý¤Ã¤Æ¤ª¤ê, Âè°ìÍ×ÁǤÏɬ¤º cmo\_int32 ¤È¤Ê¤Ã¤Æ¤¤¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤. ¤³¤ì |
¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ë mathcap ¤òÍ׵᤹¤ë¤È¡¢ |
¤ÏÀ©¸æ¤¹¤Ù¤¥á¥Ã¥»¡¼¥¸¤Î¼±Ê̻ҤòÆþ¤ì¤ë¤¿¤á¤Ç¤¢¤ë. |
¥µ¡¼¥Ð¤Ï¥µ¡¼¥Ð¼«¿È¤Î mathcap ¤ò¥¹¥¿¥Ã¥¯¤ËÀѤࡣ |
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¤µ¤é¤Ë¥µ¡¼¥Ð¤Ë¥¹¥¿¥Ã¥¯¤«¤é¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤·Á÷¿®¤ò¹Ô¤Ê¤¦Ì¿Îá¤òÁ÷¤ì¤Ð¡¢ |
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¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤Ë¤¢¤ë mathcap ¤ò¥¯¥é¥¤¥¢¥ó¥È¤ØÁ÷½Ð¤¹¤ë¡£ |
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¤³¤Î¤è¤¦¤Ë¤·¤Æ¥¯¥é¥¤¥¢¥ó¥È¤Ï¥µ¡¼¥Ð¦¤Î mathcap ¤ò¼õ¤±¼è¤ì¤ë¤ï¤±¤Ç¤¢¤ë¡£ |
|
|
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¼¡¤Ë mathcap ¤Î¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë¡£ |
³Æ $\ell_i$ ¤Î¹½Â¤¤Ï¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤Ë¤è¤Ã¤Æ°Û¤Ê¤ë. ¤³¤³¤Ç¤Ï, OX\_DATA |
mathcap ¤Ï CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤ª¤ê¡¢ |
¤Î¾ì¹ç¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤¹¤ë. Âè°ìÍ×ÁǤ¬ OX\_DATA ¤Î¾ì¹ç, ¥ê¥¹¥È $\ell_i$ |
1 ¤Ä¤Î CMO ·Á¼°¤Î¥ª¥Ö¥¸¥§¥¯¥È¤ò»ý¤Ä¡£ |
¤Ï°Ê²¼¤Î¤è¤¦¤Ê¹½Â¤¤È¤Ê¤Ã¤Æ¤¤¤ë. ³Æ $c_i$ ¤Ï cmo\_int32 ¤Ç¤¢¤ê, ¤½¤Î¥Ü¥Ç¥£ |
|
¤Ï CMO ¤Î¼±Ê̻ҤǤ¢¤ë. $c_i$ ¤Ç»Ø¼¨¤µ¤ì¤¿ CMO ¤Î¤ß¤¬Á÷¼õ¿®¤¹¤ë¤³¤È¤òµö |
|
¤µ¤ì¤ë. |
|
\begin{quote} |
|
(CMO\_LIST, 2, (CMO\_INT32, OX\_DATA), \\ |
|
\ \ (CMO\_LIST, {\sl int32} $k$, {\sl cmo\_int32} $c_1$, |
|
$\ldots$, {\sl cmo\_int32} $c_k$)) |
|
\end{quote} |
|
|
¤½¤Î¥ª¥Ö¥¸¥§¥¯¥È¤Ï°Ê²¼¤ÇÀâÌÀ¤¹¤ë 3 ¤Ä¤ÎÍ×ÁǤ«¤é¤Ê¤ë¥ê¥¹¥È¤Ç¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£ |
¶ñÂÎŪ¤Ê mathcap ¤ÎÎã¤ò¤¢¤²¤è¤¦. ̾Á°¤¬ ``ox\_test'', ¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼ |
|
¤¬ 199911250 ¤Î¥µ¡¼¥Ð¤Ç, Linux ¾å¤ÇÆ°¤¤¤Æ¤ª¤ê, ¤³¤Î¥µ¡¼¥Ð¤Î¥¹¥¿¥Ã¥¯¥Þ¥· |
|
¥ó¤¬Ì¿Îá SM\_popCMO, SM\_popString, SM\_mathcap, |
|
SM\_executeStringByLocalParser ¤òÍøÍѲÄǽ¤Ç, ¤«¤Ä ¥ª¥Ö¥¸¥§¥¯¥È¤ò |
|
cmo\_int32, cmo\_string, cmo\_mathcap, cmo\_list ¤Î¤ß¤ËÀ©¸Â¤·¤¿¤¤¤È¤¤Î |
|
mathcap ¤Ï |
|
\begin{quote} |
|
(CMO\_MATHCAP, (CMO\_LIST, 3, \\ |
|
$\quad$ (CMO\_LIST, 4, (CMO\_INT32, $199911250$), (CMO\_STRING, 7, ``ox\_test''), \\ |
|
$\qquad$ (CMO\_STRING, 9, ``199911250''), (CMO\_STRING, 4, ``i386'')) \\ |
|
$\quad$ (CMO\_LIST, $5$, (CMO\_INT32, SM\_popCMO), \\ |
|
$\qquad$ (CMO\_INT32, SM\_popString), (CMO\_INT32, SM\_mathcap), \\ |
|
$\qquad$ (CMO\_INT32, SM\_executeStringByLocalParser)) \\ |
|
$\quad$ (CMO\_LIST, $1$, (CMO\_LIST, $2$, (CMO\_INT32, OX\_DATA), \\ |
|
$\qquad$ (CMO\_LIST, $4$, (CMO\_INT32, CMO\_INT32), \\ |
|
$\qquad\quad$ (CMO\_INT32, CMO\_STRING), (CMO\_INT32, CMO\_MATHCAP), \\ |
|
$\qquad\quad$ (CMO\_INT32, CMO\_LIST)))))) |
|
\end{quote} |
|
¤Ë¤Ê¤ë. |
|
|
\[ \begin{tabular}{|c|c|c|} \hline |
|
$A$ & $B$ & $C$ \\ \hline |
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\section{¥»¥¥å¥ê¥Æ¥£Âкö} |
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\[ \begin{tabular}{|c|c|} \hline |
OpenXM µ¬Ìó¤Ï TCP/IP ¤òÍѤ¤¤ÆÄÌ¿®¤ò¹Ô¤¦¤³¤È¤ò¹Íθ¤·¤Æ¤¤¤ë. ¤·¤¿¤¬¤Ã¤Æ |
$a_1$ & $a_2$ \\ \hline |
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$b_1$ & $b_2$ & $\cdots$ & $b_n$ \\ \hline |
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\[ \overbrace{ |
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\begin{tabular}{|c|c|c|c|} \hline |
ssh ¤òÍøÍѤ·¤ÆÂбþ¤·¤Æ¤¤¤ë. |
$c_1$ & $c_2$ & $\cdots$ & $c_n$ \\ \hline |
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\end{tabular} |
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}^{C} \] |
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%$n$ ¤Ï OX\_COMMAND °Ê³°¤Î¼õ¤±¼è¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¥¿¥°¤Î¼ïÎà¤Î¿ô¤ËÅù¤·¤¤¡£ |
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%Í×ÁÇ¿ô¤Ï 1 ¤Ç¤â¤â¤Á¤í¤ó¹½¤ï¤Ê¤¤¡£ |
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¤É¤Î $c_i$ ¤âºÇ½é¤ÎÍ×ÁǤ¬ 32 ¥Ó¥Ã¥È¤ÎÀ°¿ô¤È¤Ê¤Ã¤Æ¤¤¤ë¡£ |
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\[ \overbrace{ |
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$c_{i1}$ (32 ¥Ó¥Ã¥È¤ÎÀ°¿ô) & $c_{i2}$ & $c_{i3}$ & |
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$\cdots$ & $c_{im}$ \\ \hline |
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\end{tabular} |
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}^{c_i} \] |
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$m=2$ ¤È·è¤á¤é¤ì¤Æ¤¤¤ë¡£ |
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¼õ¤±¼è¤ë¤³¤È¤¬²Äǽ¤Ê CMO ·Á¼°¤Î¥¿¥°¤¬Æþ¤ë¡£ |
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\[ \overbrace{ |
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\begin{tabular}{|c|c|c|c|c|} \hline |
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$c_{i21}$ & $c_{i22}$ & $\cdots$ & $c_{i2l}$ \\ \hline |
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\end{tabular} |
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}^{c_{i2}} \] |
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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¤¦¡£ |
\section{OpenXM °Ê³°¤Î¥×¥í¥¸¥§¥¯¥È}\label{sec:other} |
%¤Ê¤ª¡¢ $a_1$, $a_2$, $\cdots$, $a_n$ ¤òÍ×ÁÇ¤Ë |
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%»ý¤Ä¥ê¥¹¥È¹½Â¤¤ò {\tt [$a_1$, $a_2$, $\cdots$, $a_n$]} ¡¢ |
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%ʸ»úÎó ``string'' ¤ò {\tt "string"} ¡¢ 32 bit À°¿ô¤ò |
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%¤½¤ì¤ËÂбþ¤¹¤ë 10 ¿Ê¿ô¤ÎÀ°¿ô¤Ç¼¨¤¹¡£ |
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̾Á°¤¬ ``ox\_test'' ¡¢¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤¬ 199911250 ¤Î¥µ¡¼¥Ð¤Ç¤¢¤ì¤Ð¡¢ |
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$A$ ¤ÎÉôʬ¤Ï |
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\begin{tabular}{|c|c|} \hline |
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199911250 & "ox\_test" \\ \hline |
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\end{tabular} |
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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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2 & 3 & 5 & 7 & 11 \\ \hline |
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\end{tabular} |
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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 |
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\\[-5mm] |
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\begin{tabular}{|c|c|} \hline |
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& \\[-5mm] |
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OX\_DATA & |
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\begin{tabular}{|c|c|c|c|} \hline |
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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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OpenXM °Ê³°¤Ë¤â¿ô¼°½èÍý¥·¥¹¥Æ¥à´Ö¤ÎÄÌ¿®¤ä¿ô³Ø¥Ç¡¼¥¿¤Î¶¦ÄÌɽ¸½¤òÌܻؤ·¤¿ |
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{\Huge ¤Ã¤Æ¤Ê¤ó¤Ç¤Ç¤·¤ç¤¦¤«? ¥Ç¡¼¥¿¤ÎÏÀÍý¹½Â¤¤òÃΤé¤Ê¤¤¤È¼õ¤±¼è¤ì¤Ê¤¤¤È |
\begin{itemize} |
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\item ESPRIT OpenMath Project |
|
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http://www.nag.co.uk/projects/openmath/omsoc/ |
|
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\section{¥»¥¥å¥ê¥Æ¥£Âкö} |
¿ô³ØŪÂоݤΠSGML Ūɽµ¤Îɸ½à²½¤òÌܻؤ·¤¿Â絬ÌÏ¤Ê¥×¥í¥¸¥§¥¯¥È. ¤³¤Î¥× |
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¥í¥¸¥§¥¯¥È¤Ç¤Ï¿ô³Ø¥Ç¡¼¥¿¤ò¿ô³ØŪ°ÕÌ£¤òÊݤ俤ޤޤÇÇ¡²¿¤Ëɽ¸½¤¹¤Ù¤¤«¤È¤¤ |
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¤¦ÌäÂê¤òÄɵᤷ¤Æ¤¤¤ë. ¤·¤¿¤¬¤Ã¤Æ´û¸¤Îɽ¸½, Î㤨¤Ð \TeX ¤Ë¤è¤ë¿ô¼°¤Îɽ |
|
¸½¤È OpenMath ¤Ë¤è¤ë¿ô¼°¤Îɽ¸½¤È¤Ç¤Ï, ËܼÁŪ¤Ë°ÕÌ£¤¬°Û¤Ê¤ë. OpenMath ¤Ç |
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ÄêµÁ¤µ¤ì¤¿É½¸½¤Ï, °Û¤Ê¤ë¼ïÎà¤Î¿ô¼°½èÍý¥·¥¹¥Æ¥à¤Î´Ö¤Ç¾ðÊó¤ò¸ò´¹¤¹¤ë¤È¤¤Ë |
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ÍøÍѤ¹¤ë¤³¤È¤¬¤Ç¤¤ë. ¤·¤«¤·¤Ê¤¬¤é, ¿ô³Ø¥·¥¹¥Æ¥àƱ»Î¤ÎÄÌ¿®, Î㤨¤Ð¤¢¤ë |
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¥í¥¸¥§¥¯¥È¤ÎÂоݳ°¤Ç¤¢¤ë. OpenXM ¤Ë¤ª¤±¤ë¶¦Ḁ̈ǡ¼¥¿·Á¼°¤È¿ô³Ø¥·¥¹¥Æ¥à¸Ç |
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ͤΥª¥Ö¥¸¥§¥¯¥È¤È¤ÎÊÑ´¹¤Ï OpenMath µ¬Ìó¤Î Phrasebook ¤ÈƱ¤¸¥¢¥¤¥Ç¥¢¤òÍÑ |
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OpenXM µ¬Ìó¤Ï TCP/IP ¤òÍѤ¤¤ÆÄÌ¿®¤ò¹Ô¤¦¤³¤È¤ò¹Íθ¤·¤Æ¤¤¤ë¡£¥Í¥Ã¥È¥ï¡¼¥¯ |
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{\large\bf °ÕÌ£ÉÔÌÀ¤Ê¤³¤È¤ò½ñ¤¤¤Æ¤¤¤ë¤¬¡¢} |
\item NetSolve |
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¿¯Æþ¼Ô¤Ë¹¶·â¤Îµ¡²ñ¤ò¤Ç¤¤ë¤À¤±Í¿¤¨¤Ê¤¤¤è¤¦¤¹¤ë¤¿ |
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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¥½¥Õ¥È¥¦¥§¥¢ ssh ¤ò»È¤¦¤³¤È¤ò¹Í¤¨¤Æ¤¤¤ë¡£ |
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\section{¾¤Î¥×¥í¥¸¥§¥¯¥È} |
http://symbolicnet.mcs.kent.edu/SN/areas/protocols/mp.html |
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¾¤Î¥×¥í¥¸¥§¥¯¥È¤Ë¤Ä¤¤¤Æ¤â¿¨¤ì¤Æ¤ª¤³¤¦¡£ |
¿ô³ØŪ¤Ê¥Ç¡¼¥¿¤Î¶¦ÄÌɽ¸½¤òÄ󶡤¹¤ë¥×¥í¥¸¥§¥¯¥È. MP ¤Î¼ç¤Ê´Ø¿´¤Ï, ¤³¤Î |
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¶¦ÄÌɽ¸½¤ÎºÇŬ²½¤Ç¤¢¤ë. ¿ô³Ø¥·¥¹¥Æ¥à´Ö¤Ç, Ì¿Îá¤òÁ÷¿®¤·¤¿¤ê¥Ç¡¼¥¿¤ò¼õ |
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¤±ÅϤ¹»ÅÁȤß(control integration)¤Ï, ¤³¤Î¥×¥í¥¸¥§¥¯¥È¤ÎÂоݳ°¤Ç¤¢¤ë. |
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MP ¤Ï´û¸¤Î control integration ¤ËÂФ·¤ÆÊ䴰ŪÌò³ä¤ò²Ì¤¿¤¹. |
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\begin{itemize} |
MP ¤Ç¤Ï¿ô¼°¤ò¹½Ê¸Ìڤΰì¼ï(annotated syntax tree)¤Èª¤¨¤ë. annotated |
\item OpenMath\\ |
syntax tree ¤Ë¤Ï¿ô³ØŪ¤Ê°ÕÌ£¤òÊݤ俤ޤÞɽ¸½¤µ¤ì¤Æ¤¤¤ë¤È¤¤¤¦ÆÃħ¤¬¤¢¤ë |
OpenMath ¥×¥í¥¸¥§¥¯¥È¤Ï¿ô³ØŪ¤Ê¥ª¥Ö¥¸¥§¥¯¥È¤ò¥³¥ó¥Ô¥å¡¼¥¿¾å¤Çɽ¸½¤¹¤ëÊý |
(¤³¤ÎÅÀ¤Ï OpenMath ¤È»÷¤Æ¤¤¤ë). MP ¤¬Ä󶡤¹¤ë¶¦ÄÌɽ¸½¤È¤Ï, ¤³¤Î¹½Ê¸ÌڤΠ|
Ë¡¤òµ¬Äꤷ¤Æ¤¤¤ë¡£³Æ¥½¥Õ¥È¥¦¥§¥¢´Ö¤Ç¥ª¥Ö¥¸¥§¥¯¥È¤ò¸ò´¹¤¹¤ëºÝ¤Î¥ª¥Ö¥¸¥§¥¯ |
¥Ð¥¤¥Ê¥ê¥¨¥ó¥³¡¼¥Ç¥£¥ó¥°, ¤Ä¤Þ¤ê¥Ð¥¤¥ÈÎó¤Ç¤Îɽ¸½¤Î¤³¤È¤Ç¤¢¤ë. MP ¤ÎÄêµÁ |
¥È¤ÎÊÑ´¹¼ê½ç¤Ë¤Ä¤Æ¤âÄê¤á¤é¤ì¤Æ¤¤¤ë¡£É½¸½ÊýË¡¤Ï´ö¤Ä¤«¤ÎÃʳ¬¤ÇÄê¤á¤é¤ì¤Æ |
¤¹¤ëɽ¸½¤Ç¤Ï¥Ð¥¤¥ÈÎó¤ÎŤµ¤¬ºÇŬ²½¤µ¤ì¤Æ¤¤¤ë. ¤Þ¤¿, ¥Ð¥¤¥È¥ª¡¼¥À¡¼¤ÎÁª |
¤¤¤Æ¡¢XML ɽ¸½¤ä binary ɽ¸½¤Ê¤É¤¬ÍÑ°Õ¤µ¤ì¤Æ¤¤¤ë¡£¾ÜºÙ¤Ï |
Âò¤â²Äǽ¤Ç¤¢¤ë(\ref{sec:messages} ÀỲ¾È¤Î¤³¤È). |
|
|
http://www.openmath.org/omsoc/ A.M.Cohen |
¤³¤Î¥×¥í¥¸¥§¥¯¥È¤Ç¤Ï C ¸À¸ì¤ª¤è¤Ó GNU Common Lisp ¤Ç¼ÂÁõ¤ò¹Ô¤Ê¤Ã¤Æ¤¤¤ë. |
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C ¸À¸ì¤Ë¤è¤ë¼ÂÁõ(MP-C ¥é¥¤¥Ö¥é¥ê)¤Ï¾åµ¤Î¥¦¥§¥Ö¥Ú¡¼¥¸¤«¤é¼ýÆÀ²Äǽ¤Ç¤¢¤ë. |
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¤³¤Î¥é¥¤¥Ö¥é¥ê¤òÍѤ¤¤ÆÄÌ¿®¤ò¹Ô¤Ê¤¦¤Ë¤Ï, ¤Ê¤ó¤é¤«¤Î control integration |
|
¤¬É¬ÍפǤ¢¤ë. control integration ¤È¤·¤Æ¤Ï, ¥½¥±¥Ã¥È, MPI, PVM ¤Ê¤É¤¬Íø |
|
ÍѤǤ¤ë. |
|
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\item NetSolve |
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http://www.cs.utk.edu/netsolve/ |
\item MCP (Mathematical Computation Protocol) |
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\item MP |
http://horse.mcs.kent.edu/\~{}pwang/ |
|
|
http://symbolicNet.mcs.kent.edu/SN/areas/protocols/mp.html |
¿ô³ØŪ¤Ê¥Ç¡¼¥¿¤äÌ¿Îá¤ò´Þ¤à¥á¥Ã¥»¡¼¥¸¤ò¤ä¤ê¤È¤ê¤¹¤ë¤¿¤á¤Î |
|
HTTP ¤Ë»÷¤¿¥×¥í¥È¥³¥ë. |
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MCP ¤Ï control integration ¤Ç¤¢¤ê, |
|
¥¯¥é¥¤¥¢¥ó¥È¡¦¥µ¡¼¥Ð·¿¤ÎÄÌ¿®¥â¥Ç¥ë¤òºÎÍѤ·¤Æ¤¤¤ë. |
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MCP ¤Î¥á¥Ã¥»¡¼¥¸¤Ï¥Ø¥Ã¥À¤È¥Ü¥Ç¥£¤«¤é¹½À®¤µ¤ì¤Æ¤¤¤ë. |
|
¥Ø¥Ã¥À¤Ï¥Æ¥¥¹¥È¤Ç¤¢¤ê, ºÇ½é¤Ë¸½¤ì¤ë¶õ¹Ô¤Ç¥Ø¥Ã¥À¤È¥Ü¥Ç¥£¤Ï |
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¶èÀÚ¤é¤ì¤Æ¤¤¤ë. |
|
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\item MCP |
¿ô¼°¤Ï¥Ü¥Ç¥£¤Ëµ½Ò¤µ¤ì¤ÆÁ÷¤é¤ì¤ë. |
|
¿ô¼°¤Îɽ¸½ÊýË¡¤È¤·¤Æ¤Ï MP ¤ä OpenMath ¤ÇÄê¤á¤é¤ì¤¿¤â¤Î¤ò |
|
»ÈÍѤ¹¤ë¤³¤È¤¬¹Í¤¨¤é¤ì¤Æ¤¤¤ë. |
|
¼ÂºÝ, ¿ô¼°¤Îɽ¸½¤Ë OpenMath µ¬Ìó¤Î XML ɽ¸½¤òÍѤ¤¤¿¼ÂÁõ¤¬¤¢¤ê, |
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GAP ¤È Axiom ¤Î´Ö¤ÇÄÌ¿®¤¬¹Ô¤Ê¤ï¤ì¤Æ¤¤¤ë. |
|
¤³¤Î¾ì¹ç, MCP ¤Ë¤è¤Ã¤ÆÁ÷¿®¤µ¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Ï |
|
¥Ü¥Ç¥£¤Ë OpenMath ·Á¼°¤Ç¿ô¼°¤òµ½Ò¤·¤¿¥Æ¥¥¹¥È¤Ç¤¢¤ë. |
|
|
http://horse.mcs.kent.edu/~pwang/ |
|
\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¥¦¥§¥¢} |
|
|
¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥¯¥é¥¤¥¢¥ó¥È¤Ë¤Ïasir, sm1, Mathematica ¤¬ |
¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥¯¥é¥¤¥¢¥ó¥È¤Ë¤Ïasir, sm1, Mathematica ¤¬ |
¤¢¤ë¡£¤³¤ì¤é¤Î¥¯¥é¥¤¥¢¥ó¥È¤«¤é OpenXM µ¬Ìó¤ËÂбþ¤·¤¿¥µ¡¼¥Ð¤ò¸Æ¤Ó½Ð¤¹¤³¤È |
¤¢¤ë. ¤³¤ì¤é¤Î¥¯¥é¥¤¥¢¥ó¥È¤«¤é OpenXM µ¬Ìó¤ËÂбþ¤·¤¿¥µ¡¼¥Ð¤ò¸Æ¤Ó½Ð¤¹¤³ |
¤¬¤Ç¤¤ë¡£¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥µ¡¼¥Ð¥½¥Õ¥È¥¦¥§¥¢¤Ë¤Ï¡¢asir, |
¤È¤¬¤Ç¤¤ë. ¤Þ¤¿ OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥µ¡¼¥Ð¤Ë¤Ï, asir, sm1, |
sm1, gnuplot, Mathematica ¤Ê¤É¤¬¤¢¤ê¡¢¤½¤ì¤¾¤ì ox\_asir, ox\_sm1, |
Mathematica, gnuplot, PHC pack ¤Ê¤É¤¬¤¢¤ê, ¤½¤ì¤¾¤ì ox\_asir, ox\_sm1, |
ox\_sm1\_gnuplot, ox\_math ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ¤ì¤Æ¤¤¤ë¡£¤Þ¤¿¡¢ OpenMath |
ox\_math, ox\_sm1\_gnuplot, ox\_sm1\_phc ¤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 |
¤µ¤é¤Ë OpenMath µ¬Ìó¤Î XML ɽ¸½¤Çɽ¸½¤µ¤ì¤¿¥ª¥Ö¥¸¥§¥¯¥È¤È CMO ·Á¼°¤Î¥ª¥Ö |
¤ë¥½¥Õ¥È¥¦¥§¥¢¤¬ JAVA ¤Ë¤è¤Ã¤Æ¼ÂÁõ¤µ¤ì¤Æ¤ª¤ê¡¢OMproxy ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ |
¥¸¥§¥¯¥È¤òÁê¸ßÊÑ´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{Ohara-Takayama-Noro-1999} |
\bibitem{OpenMath1.0} |
¾®¸¶¸ùǤ, ¹â»³¿®µ£, ÌîϤÀµ¹Ô: |
O. Caprotti, A. M. Cohen: The OpenMath Standard, February 1999. |
{Open asir ÆþÌç}, 1999, ¿ô¼°½èÍý, Vol 7, No 2, 2--17. (ISBN4-87243-086-7, SEG ½ÐÈÇ, Tokyo). |
(http://www.nag.co.uk/projects/OpenMath/omstd/partI.ps.gz) |
|
|
|
\bibitem{NetSolve1.2b} |
|
H. Casanova, J. Dongarra, A. Karainov, J. Wasniewski: |
|
Users' Guide to NetSolve, October 27 1998. |
|
(http://www.cs.utk.edu/netsolve/download/ug.ps) |
|
|
|
\bibitem{MP} |
|
S. Gray, N. Kajler, P. S. Wang: |
|
Design and Implementation of MP, |
|
a Protocol for Efficient Exchange of Mathematical Expressions, |
|
{\it Journal of Symbolic Computation}, {\bf 11}, 1996, 1--25. |
|
(ftp://ftp.mcs.kent.edu/dist/MP/mp-jsc-96.ps.gz) |
|
|
\bibitem{OpenXM-1999} |
\bibitem{OpenXM-1999} |
ÌîϤÀµ¹Ô, ¹â»³¿®µ£: |
ÌîϤ Àµ¹Ô, ¹â»³ ¿®µ£: {Open XM ¤ÎÀ߷פȼÂÁõ --- Open message eXchange protocol for Mathematics}, December 31 1999. |
{Open XM ¤ÎÀ߷פȼÂÁõ --- Open message eXchange protocol for Mathematics}, |
(http://www.math.sci.kobe-u.ac.jp/openxxx/openxxx.tex) |
1999/11/22 |
|
|
\bibitem{Ohara-Takayama-Noro-1999} |
|
¾®¸¶ ¸ùǤ, ¹â»³ ¿®µ£, ÌîϤ Àµ¹Ô: Open asir ÆþÌç, |
|
{\it ¿ô¼°½èÍý}, {\bf Vol 7}(No 2), 1999, 2--17. |
|
(ISBN 4-87243-086-7, SEG ½ÐÈÇ, Tokyo). |
|
|
|
\bibitem{ISSAC99} |
|
P. S. Wang: |
|
Design and Protocol for Internet Accessible Mathematical Computation, |
|
{\it Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation}, 1999, 291--298. |
|
(ISBN 1-58113-073-2, ACM, New York 1999.). |
|
|
\end{thebibliography} |
\end{thebibliography} |
|
|
\end{document} |
\end{document} |