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version 1.80, 1999/12/25 04:08:50 |
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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 1.79 1999/12/24 21:56:37 tam Exp $ |
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| \usepackage{jssac} |
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| \title{¥¿¥¤¤Î¥È¥ë} |
\title{ |
| \title{°ÕÌ£¤â¤Ê¤¤½¤¾þ²á¾ê¤Ê¸ì¶ç¤ÏÇÓ½ü¤·¤Þ¤·¤ç¤¦¡£} |
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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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| \mail{noro@para.flab.fujitsu.co.jp} |
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| \mail{ohara@kappa.s.kanazawa-u.ac.jp} |
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| \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} |
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| \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{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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|
| \begin{enumerate} |
#define SM_mathcap 264 |
| \item ¤Þ¤º¡¢¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ë¡£ |
#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 |
| ¼Â¹Ô¤·¤¿·ë²Ì¤ò¥¹¥¿¥Ã¥¯¤ËÀѤࡣ |
#define SM_executeFunction 269 |
| \item ºÇ¸å¤Ë¡Ö¥¹¥¿¥Ã¥¯¤«¤é¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤·Á÷¿®¤ò¹Ô¤Ê¤¦Ì¿Îá¡×¤ò |
#define SM_beginBlock 270 |
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#define SM_endBlock 271 |
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#define SM_shutdown 272 |
| \end{enumerate} |
#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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|
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#define SM_DUMMY_sendcmo 280 |
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#define SM_sync_ball 281 |
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|
| \section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤} |
#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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#define SM_control_reset_connection 1030 |
| |
\end{verbatim} |
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\section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤}\label{sec:cmo} |
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OpenXM µ¬Ìó¤Ç¤Ï¡¢¿ô³ØŪ¥ª¥Ö¥¸¥§¥¯¥È¤òɽ¸½¤¹¤ëÊýË¡¤È¤·¤Æ CMO ·Á¼°(Common |
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Mathematical Object format)¤òÄêµÁ¤·¤Æ¤¤¤ë¡£¤³¤Î CMO ·Á¼°¤Ë¤·¤¿¤¬¤Ã¤¿¥Ç¡¼ |
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¥¿¤Ï¡¢¼±Ê̻Ҥ¬ OX\_DATA ¤Ç¤¢¤ë¤è¤¦¤Ê¥á¥Ã¥»¡¼¥¸¤Î¥Ü¥Ç¥£¤Ë¤Ê¤ë¤³¤È¤òÁÛÄꤷ |
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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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CMO ¤Ç¤Ï¡¢¥¿¥°¤Ë¤è¤Ã¤Æ¥Ü¥Ç¥£¤ÎÏÀÍýŪ¹½Â¤¤¬·èÄꤹ¤ë¡£¤¹¤Ê¤ï¤Á¡¢¥¿¥°¤Ï¤½¤ì |
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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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| \begin{verbatim} |
\begin{verbatim} |
| #define CMO_INT32 2 /* 32 ¥Ó¥Ã¥ÈÀ°¿ô */ |
#define CMO_ERROR2 0x7f000002 |
| #define CMO_STRING 4 /* ʸ»úÎó */ |
#define CMO_NULL 1 |
| #define CMO_MATHCAP 5 /* mathcap(¸å½Ò) */ |
#define CMO_INT32 2 |
| #define CMO_LIST 17 /* ¥ê¥¹¥È¹½Â¤ */ |
#define CMO_DATUM 3 |
| #define CMO_ZZ 20 /* ¿ÇÜĹÀ°¿ô */ |
#define CMO_STRING 4 |
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#define CMO_MATHCAP 5 |
| |
|
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#define CMO_START_SIGNATURE 0x7fabcd03 |
| |
#define CMO_ARRAY 16 |
| |
#define CMO_LIST 17 |
| |
#define CMO_ATOM 18 |
| |
#define CMO_MONOMIAL32 19 |
| |
#define CMO_ZZ 20 |
| |
#define CMO_QQ 21 |
| |
#define CMO_ZERO 22 |
| |
#define CMO_DMS_GENERIC 24 |
| |
#define CMO_DMS_OF_N_VARIABLES 25 |
| |
#define CMO_RING_BY_NAME 26 |
| |
#define CMO_RECURSIVE_POLYNOMIAL 27 |
| |
#define CMO_LIST_R 28 |
| |
|
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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} |
\end{verbatim} |
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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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¤³¤ÎÏÀʸ¤Ç¤Ï¡¢Âçʸ»ú¤Ç CMO\_INT32 ¤È½ñ¤¤¤¿¾ì¹ç¤Ë¤Ï¡¢¾åµ¤ÇÄêµÁ¤·¤¿¼±ÊÌ»Ò |
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¥¿¹½Â¤)¤ò cmo\_int32 ¤È¾®Ê¸»ú¤Çɽ¤ï¤¹¤³¤È¤Ë¤¹¤ë¡£ |
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| \begin{tabular}{|c|c|c|c|c|} \hline |
¤µ¤Æ cmo ¤òɽ¸½¤¹¤ë¤¿¤á¤Î°ì¤Ä¤ÎµË¡¤òƳÆþ¤¹¤ë¡£¤³¤ÎµË¡¤Ï CMO expression |
| $f$ & $b_0$ & $b_1$ & $\cdots$ & $b_{n-1}$ \\ \hline |
¤È¸Æ¤Ð¤ì¤Æ¤¤¤ë¡£¤½¤ÎÀµ³Î¤Ê·Á¼°ÅªÄêµÁ¤Ï \cite{OpenXM-1999} ¤ò»²¾È¤¹¤ë¤³¤È¡£ |
| \end{tabular} |
|
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| ¤³¤³¤Ç¡¢ 1 ¤Ä¤ÎÏÈ¤Ï 4 ¥Ð¥¤¥È¤òɽ¤·¡¢ |
¤Þ¤º CMO expssion ¤Ï Lisp É÷ɽ¸½¤Î°ì¼ï¤Ç¡¢ cmo ¤ò³ç¸Ì¤Ç°Ï¤ó¤À¥ê¥¹¥È¤È¤· |
| $f$ ¤ÏÉä¹çÉÕ¤ 32 ¥Ó¥Ã¥ÈÀ°¿ô¤ò¡¢ |
¤Æɽ¸½¤¹¤ë¡£¤½¤ì¤¾¤ì¤ÎÍ×ÁǤϥ«¥ó¥Þ¤Ç¶èÀڤ롣 |
| $b_0$, $b_1$, $\cdots$, $b_{n-1}$ ¤ÏÉä¹ç¤Ê¤· 32 ¥Ó¥Ã¥ÈÀ°¿ô¤òɽ¤·¤Æ¤¤¤ë¡£ |
Î㤨¤Ð¡¢ |
| ¤µ¤é¤Ë¡¢ $|f| = n$ ¤¬À®¤êΩ¤¿¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£ |
\begin{quote} |
| ¤³¤Î¥ª¥Ö¥¸¥§¥¯¥È¤Ï |
(17, {\sl int32}, (CMO\_NULL), (2, {\sl int32} $n$)) |
| \[ \mbox{sgn}(f) \times \{ b_0 (2^{32})^0 + b_1 (2^{32})^1 + \cdots |
\end{quote} |
| + b_{n-1} (2^{32})^{n-1} \} \] |
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| -1 & f<0 \\ \end{array} \right. \] |
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¤µ¤Æ¡¢¤³¤ÎµË¡¤Î¤â¤È¤Ç cmo\_int32 ¤ò¼¡¤Î¥Ç¡¼¥¿¹½Â¤¤ò»ý¤Ä¤ÈÄêµÁ¤¹¤ë¡£ |
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\begin{quote} |
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cmo\_int32 := (CMO\_INT32, {\sl int32} $a$) |
| \begin{center} |
\end{quote} |
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%{\Huge ƱÍÍ¤Ë cmo\_string, cmo\_list ¤Ê¤É¤òÄêµÁ} |
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¤³¤ì¤Ï CMO ¤Î 32 ¥Ó¥Ã¥ÈÀ°¿ô $a$ ¤òɽ¤¹¡£ |
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¾¤Î¥ª¥Ö¥¸¥§¥¯¥È¤âÄêµÁ¤¹¤ë¤¿¤á¤Ë¡¢ |
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°Ê¸å ``{\sl string} $s$'' ¤òʸ»úÎó $s$ ¡¢ |
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``{\sl cmo} $ob$'' ¤ò CMO ¤Î $ob$ ¤È¤¹¤ë¡£ |
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¤³¤ì¤òÍѤ¤¤Æ¡¢ cmo\_string, cmo\_list ¤òÄêµÁ¤¹¤ë¡£ |
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\begin{quote} |
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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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\end{quote} |
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¤³¤ì¤Ï¤½¤ì¤¾¤ìŤµ $len$ ¤Îʸ»úÎó $str$ ¤È¡¢ |
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$ob_1$, $ob_2$, $\cdots$, $ob_n$ ¤«¤é¤Ê¤ëŤµ $n$ ¤Î¥ê¥¹¥È¤òɽ¤¹¡£ |
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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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\section{mathcap ¤Ë¤Ä¤¤¤Æ} |
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% cmo\_mathcap := (CMO\_MATHCAP,{\sl cmo} obj) |
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(CMO\_LIST, {\sl int32} $3$, |
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%\[ \begin{tabular}{|c|c|c|} \hline |
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(CMO\_LIST, {\sl int32} $4$, |
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{\sl cmo\_string} $a_3$, {\sl cmo\_string} $a_4$) |
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\begin{quote} |
| |
(CMO\_LIST, {\sl int32} $n$, |
| |
{\sl cmo\_int32} $b_1$, {\sl cmo\_int32} $b_2$, |
| |
$\cdots$, {\sl cmo\_int32} $b_n$) |
| |
\end{quote} |
| |
|
| \[ \begin{tabular}{|c|c|c|c|} \hline |
Âè»°Í×ÁÇ $C$ ¤Ï°Ê²¼¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë¡£ |
| $b_1$ & $b_2$ & $\cdots$ & $b_n$ \\ \hline |
\begin{quote} |
| \end{tabular} \] |
(CMO\_LIST, {\sl int32} $m$, \\ |
| |
\hspace{10mm} (CMO\_LIST, {\sl int32} $l_1$, {\sl cmo\_int32} $c_{11}$, |
| 3 ÈÖÌܤÎÍ×ÁÇ $C$ ¤Ï°Ê²¼¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë¡£ |
{\sl cmo} $c_{12}$, $\cdots$, {\sl cmo} $c_{1l_1}$) \\ |
| \[ \overbrace{ |
\hspace{10mm} (CMO\_LIST, {\sl int32} $l_2$, {\sl cmo\_int32} $c_{21}$, |
| \begin{tabular}{|c|c|c|c|} \hline |
{\sl cmo} $c_{22}$, $\cdots$, {\sl cmo} $c_{1l_2}$) \\ |
| $c_1$ & $c_2$ & $\cdots$ & $c_n$ \\ \hline |
\hspace{10mm} $\vdots$ \\ |
| \end{tabular} |
\hspace{10mm} (CMO\_LIST, {\sl int32} $l_m$, {\sl cmo\_int32} $c_{m1}$, |
| }^{C} \] |
{\sl cmo} $c_{m2}$, $\cdots$, {\sl cmo} $c_{1l_m}$)) |
| %$n$ ¤Ï OX\_COMMAND °Ê³°¤Î¼õ¤±¼è¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¥¿¥°¤Î¼ïÎà¤Î¿ô¤ËÅù¤·¤¤¡£ |
\end{quote} |
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| \[ \overbrace{ |
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| \begin{tabular}{|c|c|c|c|c|} \hline |
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| $\cdots$ & $c_{im}$ \\ \hline |
|
| \end{tabular} |
|
| }^{c_i} \] |
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$c_{i1}$, $c_{i2}$, $\cdots$, $c_{il_i}$ ¤òÍ×ÁǤȤ¹¤ë cmo\_list ¤Ï |
| $m=2$ ¤È·è¤á¤é¤ì¤Æ¤¤¤ë¡£ |
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$c_{i2}$ ¤Ï°Ê²¼¤Î¿Þ¤Î¤è¤¦¤Ê cmo\_list ¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£ |
| ³ÆÍ×ÁÇ¤Ï 32 ¥Ó¥Ã¥È¤ÎÀ°¿ô¤Ç¤¢¤ê¡¢ |
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| \[ \overbrace{ |
\begin{quote} |
| \begin{tabular}{|c|c|c|c|c|} \hline |
(CMO\_LIST, {\sl int32} $k$, |
| $c_{i21}$ & $c_{i22}$ & $\cdots$ & $c_{i2l}$ \\ \hline |
{\sl cmo\_int32} $c_{i21}$, {\sl cmo\_int32} $c_{i22}$, |
| \end{tabular} |
$\cdots$, {\sl cmo\_int32} $c_{i2k}$) |
| }^{c_{i2}} \] |
\end{quote} |
| |
%\[ \overbrace{ |
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% \begin{tabular}{|c|c|c|c|c|} \hline |
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% $c_{i21}$ & $c_{i22}$ & $\cdots$ & $c_{i2l}$ \\ \hline |
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% \end{tabular} |
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% }^{c_{i2}} \] |
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| \begin{tabular}{|c|c|} \hline |
\begin{quote} |
| 199911250 & "ox\_test" \\ \hline |
(CMO\_LIST, 4, {\sl cmo\_int32} $199911250$, {\sl cmo\_string} "ox\_test", |
| \end{tabular} |
{\sl cmo\_string} "Version=199911250", |
| |
{\sl cmo\_string} "HOSTTYPE=i386") |
| |
\end{quote} |
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| \begin{tabular}{|c|c|c|c|c|} \hline |
\begin{quote} |
| 2 & 3 & 5 & 7 & 11 \\ \hline |
(CMO\_LIST, {\sl int32} $5$, |
| \end{tabular} |
{\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} |
| ¤È¤Ê¤ê¡¢ |
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| \begin{tabular}{|c|} \hline |
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| \begin{tabular}{|c|c|} \hline |
{\sl cmo\_int32} $2$, {\sl cmo\_int32} $4$, |
| & \\[-5mm] |
{\sl cmo\_int32} $5$, {\sl cmo\_int32} $17$)) |
| OX\_DATA & |
\end{quote} |
| \begin{tabular}{|c|c|c|c|} \hline |
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| \item OpenMath |
\item OpenMath\\ |
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\item NetSolve |
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| http://www.cs.utk.edu/netsolve/ |
http://www.cs.utk.edu/netsolve/ |
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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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| \item MCP |
\item MCP |
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| http://horse.mcs.kent.edu/~pwang/ |
http://horse.mcs.kent.edu/~pwang/ |
| Line 451 http://horse.mcs.kent.edu/~pwang/ |
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| Line 602 http://horse.mcs.kent.edu/~pwang/ |
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| \begin{thebibliography}{99} |
\begin{thebibliography}{99} |
| \bibitem{Ohara-Takayama-Noro-1999} |
\bibitem{Ohara-Takayama-Noro-1999} |
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