=================================================================== RCS file: /home/cvs/OpenXM/doc/Attic/genkou19991125.tex,v retrieving revision 1.62 retrieving revision 1.73 diff -u -p -r1.62 -r1.73 --- OpenXM/doc/Attic/genkou19991125.tex 1999/12/23 19:59:51 1.62 +++ OpenXM/doc/Attic/genkou19991125.tex 1999/12/24 15:42:24 1.73 @@ -1,25 +1,29 @@ \documentclass{jarticle} -%% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.61 1999/12/23 18:01:04 tam Exp $ +%% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.72 1999/12/24 12:03:33 tam Exp $ \usepackage{jssac} -\title{¥¿¥¤¤Î¥È¥ë} -\title{°ÕÌ£¤â¤Ê¤¤½¤¾þ²á¾ê¤Ê¸ì¶ç¤ÏÇÓ½ü¤·¤Þ¤·¤ç¤¦¡£} +\title{ +1. °ÕÌ£¤â¤Ê¤¤½¤¾þ²á¾ê¤Ê¸ì¶ç¤ÏÇÓ½ü¤·¤Þ¤·¤ç¤¦¡£\\ +3. ¤»¤Ã¤«¤¯ fill ¤·¤Æ¤¤¤ë¤Î¤ò¤¤¤¸¤é¤Ê¤¤¤Ç¤¯¤ì¡£\\ +4. Åļ¤¬Í·¤ó¤Ç¤Ð¤«¤ê¤Ç¤ª¤ì¤Ð¤«¤ê»Å»ö¤ò¤·¤Æ¤¤¤ë¤Î¤Ï¤É¤¦¹Í¤¨¤Æ¤âÉÔ¸øÊ¿¤À¡£ +¤Ê¤ó¤Ç»Å»ö¤ò¤·¤Ê¤¤¤Î¤«¡¢¤¤¤¤²Ã¸º»Å»ö¤ò¤·¤í¡¢Åļ¡£ +} -\author{Á° Àî ¾­ ½¨\affil{¿À¸ÍÂç³ØÍý³ØÉô} - \mail{maekawa@math.sci.kobe-u.ac.jp} - \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} +\author{±ü ë ¡¡ ¹Ô ±û\affil{¿À¸ÍÂç³ØÂç³Ø±¡¼«Á³²Ê³Ø¸¦µæ²Ê} \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} - \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} + \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} \maketitle @@ -34,28 +38,25 @@ OpenXM ¤Ï¿ô³Ø¥×¥í¥»¥¹´Ö¤Ç¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤¿¤á¤Îµ¬Ì OpenXM ¤Î³«È¯¤Îȯü¤ÏÌîϤ¤È¹â»³¤Ë¤è¤ê¡¢ 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¤¤¤¿¡£¤³ -¤ÎÊýË¡¤Ç¤ÏÁê¼ê¦¤Î¥½¥Õ¥È¤¬ asir ¤Ê¤Î¤« kan/sm1 ¤Ê¤Î¤«¤òȽÊ̤¹¤ë¤Ê¤É¤·¤Æ¡¢ -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¤¤¤¬¡¢ -»È¤¤¤ä¤¹¤¤¤È¤â¸À¤¨¤ë¡£ +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¡¢ +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¤¤¤¬¡¢»È¤¤¤ä¤¹¤¤¤È¤â¸À¤¨¤ë¡£ -¸½ºß¤Î OpenXM 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+#define SM_popCMO 262 +#define SM_popString 263 -%{\Huge °Ê²¼¡¢½ñ¤­Ä¾¤·} +#define SM_mathcap 264 +#define SM_pops 265 +#define SM_setName 266 +#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 -¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ê¡¢ -·×»»¤Î·ë²Ì¤òÆÀ¤ë¤È¤¤¤¦¼ê½ç¤òÄɤäƤ¤¤¯¤È¼¡¤Î¤è¤¦¤Ë¤Ê¤ë¡£ +#define SM_DUMMY_sendcmo 280 +#define SM_sync_ball 281 -\begin{enumerate} -\item ¤Þ¤º¡¢¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ë¡£ - ¥µ¡¼¥Ð¤ÏÁ÷¤é¤ì¤Æ¤­¤¿¥á¥Ã¥»¡¼¥¸¤ò¥¹¥¿¥Ã¥¯¤ËÀѤࡣ -\item ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ë¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤òÁ÷¤ë¤È¡¢ - ¥µ¡¼¥Ð¤ÏɬÍפʤÀ¤±¥¹¥¿¥Ã¥¯¤«¤é¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤·¡¢ - 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} +#define SM_control_kill 1024 +#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} +°Ê²¼¡¢¤É¤¦¤¤¤¦¤È¤­¤Ë·ë²Ì¤ò¥¹¥¿¥Ã¥¯¤ËÀѤफ¥¨¥é¡¼¤Î¾ì¹ç¤É¤¦¤¹¤ë¤«¤ÎÀâÌÀ¤¬ +ɬÍפǤ¢¤í¤¦¡£ -\section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤} -OpenXM µ¬Ìó¤Ç¤Ï¡¢¿ô³ØŪ¥ª¥Ö¥¸¥§¥¯¥È¤òɽ¸½¤¹¤ëÊýË¡¤È¤·¤Æ -CMO ·Á¼°(Common Mathematical Object format)¤òÄêµÁ¤·¤Æ¤¤¤ë¡£ -¤³¤Î CMO ·Á¼°¤ò»È¤Ã¤Æ¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ë¤Ë¤Ï¡¢ -¥¿¥°¤ò OX\_DATA ¤Ë¤¹¤ì¤Ð¤è¤¤¡£ -CMO ·Á¼°¤Ë¤ª¤±¤ë¥Ç¡¼¥¿¹½Â¤¤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¡£ 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+#define CMO_INT32COEFF 30 +#define CMO_DISTRIBUTED_POLYNOMIAL 31 +#define CMO_POLYNOMIAL_IN_ONE_VARIABLE 33 +#define CMO_RATIONAL 34 + +#define CMO_64BIT_MACHINE_DOUBLE 40 +#define CMO_ARRAY_OF_64BIT_MACHINE_DOUBLE 41 +#define CMO_128BIT_MACHINE_DOUBLE 42 +#define CMO_ARRAY_OF_128BIT_MACHINE_DOUBLE 43 + +#define CMO_BIGFLOAT 50 +#define CMO_IEEE_DOUBLE_FLOAT 51 + +#define CMO_INDETERMINATE 60 +#define CMO_TREE 61 +#define CMO_LAMBDA 62 \end{verbatim} -¤³¤³¤Ç 32 bit ¤ÎÀ°¿ô¤Îɽ¸½ÊýË¡¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ëɬÍפ¬¤¢¤ë¡£ -OpenXM µ¬Ìó¤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¡£ +¤³¤ÎÃæ¤Ç CMO\_INT32, ... ¤Ç¼±Ê̤µ¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤ÏºÇ¤â´ðËÜŪ¤Ê¥ª¥Ö¥¸¥§ +¥¯¥È¤Ç¤¢¤Ã¤Æ¡¢¤¹¤Ù¤Æ¤Î OpenXM Âбþ¥·¥¹¥Æ¥à¤Ë¼ÂÁõ¤µ¤ì¤Æ¤¤¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£ -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¡£ +¤³¤ì¤é¤Ë¤Ä¤¤¤Æ¤Î²òÀâ¤ò¹Ô¤¦Á°¤Ëµ­Ë¡¤Ë¤Ä¤¤¤Æ¡¢¾¯¤·ÀâÌÀ¤·¤Æ¤ª¤¯¡£ +¤³¤ÎÏÀʸ¤Ç¤Ï¡¢Âçʸ»ú¤Ç CMO\_INT32 ¤È½ñ¤¤¤¿¾ì¹ç¤Ë¤Ï¡¢¾åµ­¤ÇÄêµÁ¤·¤¿¼±ÊÌ»Ò +¤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|c|c|c|} \hline -$f$ & $b_0$ & $b_1$ & $\cdots$ & $b_{n-1}$ \\ \hline -\end{tabular} +¤µ¤Æ cmo ¤òɽ¸½¤¹¤ë¤¿¤á¤Î°ì¤Ä¤Îµ­Ë¡¤òƳÆþ¤¹¤ë¡£¤³¤Îµ­Ë¡¤Ï CMO expression +¤È¸Æ¤Ð¤ì¤Æ¤¤¤ë¡£¤½¤ÎÀµ³Î¤Ê·Á¼°ÅªÄêµÁ¤Ï \cite{OpenXM-1999} ¤ò»²¾È¤¹¤ë¤³¤È¡£ -¤³¤³¤Ç¡¢ 1 ¤Ä¤ÎÏÈ¤Ï 4 ¥Ð¥¤¥È¤òɽ¤·¡¢ -$f$ ¤ÏÉä¹çÉÕ¤­ 32 ¥Ó¥Ã¥ÈÀ°¿ô¤ò¡¢ -$b_0$, $b_1$, $\cdots$, $b_{n-1}$ ¤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¡£ +¤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¶èÀڤ롣 +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¡£ -¤³¤³¤Ç¶ñÂÎÎã¤ò¤À¤½¤¦¡£ -$4294967298 = 1 \times 2^{32} + 2$ ¤ò CMO ·Á¼°¤Î -¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¡¢Â¿ÇÜĹÀ°¿ô¤Çɽ¸½¤¹¤ë¤È¡¢ -\begin{center} - {\tt 00 00 00 14 00 00 00 02 00 00 00 02 00 00 00 01} -\end{center} -¤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¡£ +¤µ¤Æ¡¢¤³¤Îµ­Ë¡¤Î¤â¤È¤Ç cmo\_int32 ¤ò¼¡¤Î¥Ç¡¼¥¿¹½Â¤¤ò»ý¤Ä¤ÈÄêµÁ¤¹¤ë¡£ +\begin{quote} +cmo\_int32 := (CMO\_INT32, {\sl int32}) +\end{quote} +{\Huge ƱÍÍ¤Ë cmo\_string, cmo\_list ¤Ê¤É¤òÄêµÁ!!} +% ¤³¤³¤Ç 32 bit ¤ÎÀ°¿ô¤Îɽ¸½ÊýË¡¤Ë¤Ä¤¤¤Æ¿¨¤ì¤Æ¤ª¤¯¡£ +% OpenXM µ¬Ìó¤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¡£ + +% Àè¤Û¤É¤Î¡¢ (CMO\_INT32, 123456789) ¤ò¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¤Ç +% ¥Ð¥¤¥ÈÎó¤Ëľ¤¹¤È¡¢ +% \begin{center} +% {\tt 00 00 00 02 07 5b cd 15} +% \end{center} +% ¤È¤Ê¤ê¡¢ +% (CMO\_STRING, 6, ``OpenXM'') ¤Ï +% \begin{center} +% {\tt 00 00 00 04 00 00 00 06 4f 70 65 6e 58 4d} +% \end{center} +% ¤È¤Ê¤ë¡£ + +% CMO ·Á¼°¤Î¿ÇÜĹÀ°¿ô¤Ï¡¢ Gnu MP¥é¥¤¥Ö¥é¥êÅù¤ò»²¹Í¤Ë¤·¤Æ¤ª¤ê¡¢ +% Éä¹æÉÕ¤­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} + +% ¤³¤³¤Ç¡¢ 1 ¤Ä¤ÎÏÈ¤Ï 4 ¥Ð¥¤¥È¤òɽ¤·¡¢ +% $f$ ¤ÏÉä¹æÉÕ¤­ 32 ¥Ó¥Ã¥ÈÀ°¿ô¤ò¡¢ +% $b_0$, $b_1$, $\cdots$, $b_{n-1}$ ¤ÏÉä¹æ¤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¤¦¡£ +% $4294967298 = 1 \times 2^{32} + 2$ ¤ò CMO ·Á¼°¤Î +% 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-http://www.openmath.org/omsoc/index.html A.M.Cohen +http://www.openmath.org/omsoc/ A.M.Cohen +\item NetSolve -°Ê²¼¤Ï½ñ¤¤¤Æ¤ëÅÓÃæ¡£ - -NetSolve - http://www.cs.utk.edu/netsolve/ +\item MP -MP - http://symbolicNet.mcs.kent.edu/SN/areas/protocols/mp.html +\item MCP -MCP - http://horse.mcs.kent.edu/~pwang/ +\end{itemize} \section{¸½ºßÄ󶡤µ¤ì¤Æ¤¤¤ë¥½¥Õ¥È¥¦¥§¥¢} -¸½ºß OpenXM µ¬³Ê¤ËÂбþ¤·¤Æ¤¤¤ë¥¯¥é¥¤¥¢¥ó¥È¤Ë¤Ï -asir, sm1, Mathematica ¤¬¤¢¤ë¡£ -¤³¤ì¤é¤Î¥¯¥é¥¤¥¢¥ó¥È¤«¤é -OpenXM µ¬³Ê¤ËÂбþ¤·¤¿¥µ¡¼¥Ð¤ò¸Æ¤Ó½Ð¤¹¤³¤È¤¬¤Ç¤­¤ë¡£ -¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥µ¡¼¥Ð¥½¥Õ¥È¥¦¥§¥¢¤Ë¤Ï¡¢ - asir, sm1, gnuplot, Mathematica ¤Ê¤É¤¬¤¢¤ê¡¢ -¤½¤ì¤¾¤ì ox\_asir, ox\_sm1, ox\_math ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ¤ì¤Æ¤¤¤ë¡£ -¤Þ¤¿¡¢ OpenMath µ¬³Ê¤Î XML ɽ¸½¤Çɽ¸½¤µ¤ì¤¿¥Ç¡¼¥¿¤È CMO ·Á¼°¤Î -¥Ç¡¼¥¿¤òÊÑ´¹¤¹¤ë¥½¥Õ¥È¥¦¥§¥¢¤¬ JAVA ¤Ë¤è¤Ã¤Æ¼ÂÁõ¤µ¤ì¤Æ¤ª¤ê¡¢ -OMproxy ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ¤ì¤Æ¤¤¤ë¡£ +¸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 +¤¬¤Ç¤­¤ë¡£¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥µ¡¼¥Ð¥½¥Õ¥È¥¦¥§¥¢¤Ë¤Ï¡¢asir, +sm1, gnuplot, Mathematica ¤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 +µ¬Ìó¤Î XML ɽ¸½¤Çɽ¸½¤µ¤ì¤¿¥ª¥Ö¥¸¥§¥¯¥È¤È CMO ·Á¼°¤Î¥ª¥Ö¥¸¥§¥¯¥È¤òÊÑ´¹¤¹ +¤ë¥½¥Õ¥È¥¦¥§¥¢¤¬ JAVA ¤Ë¤è¤Ã¤Æ¼ÂÁõ¤µ¤ì¤Æ¤ª¤ê¡¢OMproxy ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ +¤ì¤Æ¤¤¤ë¡£ \begin{thebibliography}{99} +\bibitem{Ohara-Takayama-Noro-1999} +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). \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} -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). \end{thebibliography} \end{document}