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| %% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.53 1999/12/23 08:02:12 tam Exp $ |
%% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.80 1999/12/25 04:08:50 tam Exp $ |
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| \title{¥¿¥¤¤Î¥È¥ë} |
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| \title{ |
\title{ |
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| \author{Á° Àî ¾ ½¨\affil{¿À¸ÍÂç³ØÍý³ØÉô} |
\author{±ü ë ¡¡ ¹Ô ±û\affil{¿À¸ÍÂç³ØÂç³Ø±¡¼«Á³²Ê³Ø¸¦µæ²Ê} |
| \mail{maekawa@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 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} |
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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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| \begin{document} |
\begin{document} |
| \maketitle |
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#define SM_popSerializedLocalObject 258 |
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#define SM_pops 265 |
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#define SM_setName 266 |
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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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#define SM_DUMMY_sendcmo 280 |
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#define SM_control_kill 1024 |
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#define SM_control_to_debug_mode 1025 |
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#define SM_control_exit_debug_mode 1026 |
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#define SM_control_ping 1027 |
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#define SM_control_start_watch_thread 1028 |
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#define SM_control_stop_watch_thread 1029 |
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\end{verbatim} |
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OpenXM µ¬Ìó¤Ç¤Ï¡¢¿ô³ØŪ¥ª¥Ö¥¸¥§¥¯¥È¤òɽ¸½¤¹¤ëÊýË¡¤È¤·¤Æ CMO ·Á¼°(Common |
| $f$ & $b_0$ & $b_1$ & $\cdots$ & $b_{n-1}$ \\ \hline |
Mathematical Object format)¤òÄêµÁ¤·¤Æ¤¤¤ë¡£¤³¤Î CMO ·Á¼°¤Ë¤·¤¿¤¬¤Ã¤¿¥Ç¡¼ |
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\begin{tabular}{|c|c|} \hline |
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¥Ø¥Ã¥À & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\ \hline |
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\end{tabular} |
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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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| $4294967298 = 1 \times 2^{32} + 2$ ¤ò CMO ·Á¼°¤Î |
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| \begin{center} |
¤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 ¤¬ |
| \end{center} |
ÄêµÁ¤µ¤ì¤Æ¤¤¤ë¡£ |
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\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 |
| |
|
| \section{mathcap ¤Ë¤Ä¤¤¤Æ} |
#define CMO_START_SIGNATURE 0x7fabcd03 |
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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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|
| OpenXM µ¬Ìó¤Ç¤Ï¡¢ÄÌ¿®»þ¤ËÍѤ¤¤é¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò |
#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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| ¤³¤ÎÀ©¸Â(¤¢¤ë¤¤¤Ï³ÈÄ¥)¤Ï CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë mathcap ¤È |
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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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|
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#define CMO_BIGFLOAT 50 |
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#define CMO_IEEE_DOUBLE_FLOAT 51 |
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|
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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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|
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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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¤³¤ÎÏÀʸ¤Ç¤Ï¡¢Âçʸ»ú¤Ç CMO\_INT32 ¤È½ñ¤¤¤¿¾ì¹ç¤Ë¤Ï¡¢¾åµ¤ÇÄêµÁ¤·¤¿¼±ÊÌ»Ò |
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¤òɽ¤ï¤¹¡£¤Þ¤¿ CMO\_INT32 ¤Ç¼±Ê̤µ¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤Î¥¯¥é¥¹(¤¢¤ë¤¤¤Ï¥Ç¡¼ |
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¥¿¹½Â¤)¤ò cmo\_int32 ¤È¾®Ê¸»ú¤Çɽ¤ï¤¹¤³¤È¤Ë¤¹¤ë¡£ |
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¤µ¤Æ cmo ¤òɽ¸½¤¹¤ë¤¿¤á¤Î°ì¤Ä¤ÎµË¡¤òƳÆþ¤¹¤ë¡£¤³¤ÎµË¡¤Ï CMO expression |
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¤È¸Æ¤Ð¤ì¤Æ¤¤¤ë¡£¤½¤ÎÀµ³Î¤Ê·Á¼°ÅªÄêµÁ¤Ï \cite{OpenXM-1999} ¤ò»²¾È¤¹¤ë¤³¤È¡£ |
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¤Þ¤º CMO expssion ¤Ï Lisp É÷ɽ¸½¤Î°ì¼ï¤Ç¡¢ cmo ¤ò³ç¸Ì¤Ç°Ï¤ó¤À¥ê¥¹¥È¤È¤· |
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Î㤨¤Ð¡¢ |
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\begin{quote} |
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(17, {\sl int32}, (CMO\_NULL), (2, {\sl int32} $n$)) |
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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¤¸¤¯ 4 |
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¥Ð¥¤¥È¤Î¥Ç¡¼¥¿¤Ç¤¢¤ë¤¬°Ê²¼¤ÎÀâÌÀ¤Ç $n$ ¤Èɽ¤¹¤³¤È¤ò¼¨¤¹¡£¤Þ¤¿¿ô»ú 17, 2 |
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¤Ê¤É¤Ï 4¥Ð¥¤¥È¤Î¥Ç¡¼¥¿¤ÇÀ°¿ôÃͤȤ·¤Æ¤ß¤¿¤È¤¤ÎÃͤò°ÕÌ£¤¹¤ë¡£CMO\_NULL ¤Ï |
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(CMO\_LIST, {\sl int32}, (CMO\_NULL), (CMO\_INT32, {\sl int32})) |
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¤À¤«¤é cmo ¤Ë·è¤Þ¤Ã¤Æ¤ë¤À¤í¡£¾¯¤·¤ÏƬ»È¤¨¤è¤Ê¡£ |
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} |
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\begin{quote} |
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cmo\_int32 := (CMO\_INT32, {\sl int32}) |
| ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ |
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ƱÍͤˡ¢cmo\_null, cmo\_string, cmo\_list, cmo\_mathcap ¤Î¥·¥ó¥¿¥Ã |
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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} $s$) \\ |
| |
cmo\_list := (CMO\_LIST, {\sl int32} $m$, {\sl cmo} $c_1$, $\ldots$, |
| |
{\sl cmo} $c_m$) \\ |
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cmo\_mathcap := (CMO\_MATHCAP, {\sl cmo\_list}) |
| |
\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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cmo\_string := (CMO\_STRING, {\sl int32} $len$, {\sl string} $str$) \\ |
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cmo\_list := (CMO\_LIST, {\sl int32} $n$, {\sl cmo} $ob_1$, |
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{\sl cmo} $ob_2$, $\cdots$,{\sl cmo} $ob_n$) |
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% cmo\_mathcap := (CMO\_MATHCAP,{\sl cmo} obj) |
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\begin{quote} |
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(CMO\_LIST, {\sl int32}, {\sl cmo} $A$, {\sl cmo} $B$, {\sl cmo} $C$, $\ldots$) |
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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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ÂèÆóÍ×ÁÇ $B$ ¤ÎÉôʬ¤Ï¼¡¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë¡£ |
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\begin{quote} |
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(CMO\_LIST, {\sl int32} $n$, |
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{\sl cmo\_int32} $b_1$, {\sl cmo\_int32} $b_2$, |
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$\cdots$, {\sl cmo\_int32} $b_n$) |
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\end{quote} |
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\begin{quote} |
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(CMO\_LIST, {\sl int32} $m$, \\ |
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\hspace{10mm} (CMO\_LIST, {\sl int32} $l_1$, {\sl cmo\_int32} $c_{11}$, |
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{\sl cmo} $c_{12}$, $\cdots$, {\sl cmo} $c_{1l_1}$) \\ |
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\hspace{10mm} (CMO\_LIST, {\sl int32} $l_2$, {\sl cmo\_int32} $c_{21}$, |
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{\sl cmo} $c_{22}$, $\cdots$, {\sl cmo} $c_{1l_2}$) \\ |
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\hspace{10mm} $\vdots$ \\ |
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\hspace{10mm} (CMO\_LIST, {\sl int32} $l_m$, {\sl cmo\_int32} $c_{m1}$, |
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{\sl cmo} $c_{m2}$, $\cdots$, {\sl cmo} $c_{1l_m}$)) |
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\end{quote} |
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$c_{i1}$, $c_{i2}$, $\cdots$, $c_{il_i}$ ¤òÍ×ÁǤȤ¹¤ë cmo\_list ¤Ï |
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\begin{quote} |
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(CMO\_LIST, {\sl int32} $k$, |
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{\sl cmo\_int32} $c_{i21}$, {\sl cmo\_int32} $c_{i22}$, |
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$\cdots$, {\sl cmo\_int32} $c_{i2k}$) |
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¶ñÂÎŪ¤Ê mathcap ¤ÎÎã¤ò¤¢¤²¤è¤¦¡£ |
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PC-UNIX ¾å¤ÇÆ°¤¤¤Æ¤¤¤ì¤Ð¡¢ |
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$A$ ¤ÎÉôʬ¤Ï |
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\begin{quote} |
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(CMO\_LIST, 4, (CMO\_INT32, $199911250$), |
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{\sl cmo\_string} "ox\_test", |
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{\sl cmo\_string} "199911250", |
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(CMO\_STRING, 4, "i386")) |
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\end{quote} |
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\begin{quote} |
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(CMO\_LIST, {\sl int32} $5$, |
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{\sl cmo\_int32} $2$, {\sl cmo\_int32} $3$, |
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{\sl cmo\_int32} $5$, {\sl cmo\_int32} $7$, |
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{\sl cmo\_int32} $11$) |
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\end{quote} |
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(CMO\_LIST, {\sl int32} $1$, \\ |
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{\sl cmo\_int32} $2$, {\sl cmo\_int32} $4$, |
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{\sl cmo\_int32} $5$, {\sl cmo\_int32} $17$)) |
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http://www.openmath.org/omsoc/ A.M.Cohen |
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http://www.cs.utk.edu/netsolve/ |
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| asir, sm1, Mathematica ¤¬¤¢¤ë¡£ |
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| ¤³¤ì¤é¤Î¥¯¥é¥¤¥¢¥ó¥È¤«¤é |
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sm1, gnuplot, Mathematica ¤Ê¤É¤¬¤¢¤ê¡¢¤½¤ì¤¾¤ì ox\_asir, ox\_sm1, |
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| ¤Þ¤¿¡¢ OpenMath µ¬³Ê¤Î XML ɽ¸½¤Çɽ¸½¤µ¤ì¤¿¥Ç¡¼¥¿¤È CMO ·Á¼°¤Î |
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| \begin{thebibliography}{99} |
\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} |
\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 --- Open message eXchange protocol for Mathematics}, |
| 1999/11/22 |
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{thebibliography} |
| |
|
| \end{document} |
\end{document} |
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