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| %% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.67 1999/12/24 08:08:48 tam Exp $ |
%% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.76 1999/12/24 19:01:00 tam Exp $ |
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| \usepackage{jssac} |
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| \title{ |
\title{ |
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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 |
| |
|
| #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 |
| #define SM_shutdown 272 |
#define SM_shutdown 272 |
| #define SM_setMathCap 273 |
#define SM_setMathCap 273 |
| #define SM_executeStringByLocalParserInBatchMode 274 |
#define SM_executeStringByLocalParserInBatchMode 274 |
| #define SM_getsp 275 |
#define SM_getsp 275 |
| #define SM_dupErrors 276 |
#define SM_dupErrors 276 |
| |
|
| #define SM_DUMMY_sendcmo 280 |
#define SM_DUMMY_sendcmo 280 |
| #define SM_sync_ball 281 |
#define SM_sync_ball 281 |
| |
|
| #define SM_control_kill 1024 |
#define SM_control_kill 1024 |
| #define SM_control_reset_connection 1030 |
#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 |
#define SM_control_ping 1027 |
| #define SM_control_ping 1027 |
#define SM_control_start_watch_thread 1028 |
| #define SM_control_start_watch_thread 1028 |
#define SM_control_stop_watch_thread 1029 |
| #define SM_control_stop_watch_thread 1029 |
#define SM_control_reset_connection 1030 |
| \end{verbatim} |
\end{verbatim} |
| |
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| ɬÍפǤ¢¤í¤¦¡£ |
%ɬÍפǤ¢¤í¤¦¡£ |
| |
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| \section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤} |
¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤ËÂФ¹¤ëÌ¿Îá¤ÎÃæ¤Ë¤Ï¼Â¹Ô¤Î·ë²Ì¤¬Â¸ºß¤¹¤ë¤â¤Î¤¬¤¢¤ë¡£ |
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¤¿¤È¤¨¤Ð¡¢ SM\_executeStringByLocalParser ¤Ï |
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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 |
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°¤Ë¤·¤¿¤¬¤Ã¤¿¥Ç¡¼ |
Mathematical Object format)¤òÄêµÁ¤·¤Æ¤¤¤ë¡£¤³¤Î CMO ·Á¼°¤Ë¤·¤¿¤¬¤Ã¤¿¥Ç¡¼ |
| ¥¿¤Ï¡¢¼±Ê̻Ҥ¬ OX\_DATA ¤Ç¤¢¤ë¤è¤¦¤Ê¥á¥Ã¥»¡¼¥¸¤Î¥Ü¥Ç¥£¤Ë¤Ê¤ë¤³¤È¤òÁÛÄꤷ |
¥¿¤Ï¡¢¼±Ê̻Ҥ¬ OX\_DATA ¤Ç¤¢¤ë¤è¤¦¤Ê¥á¥Ã¥»¡¼¥¸¤Î¥Ü¥Ç¥£¤Ë¤Ê¤ë¤³¤È¤òÁÛÄꤷ |
| ¤Æ¤¤¤ë¡£ |
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| CMO ·Á¼°¤Ë¤ª¤±¤ë¥Ç¡¼¥¿¹½Â¤¤Ï¼¡¤Î¤è¤¦¤Ê¹½Â¤¤ò¤â¤Ä¡£ |
CMO ·Á¼°¤Ë¤ª¤±¤ë¥Ç¡¼¥¿¹½Â¤¤Ï¼¡¤Î¤è¤¦¤Ê¹½Â¤¤ò¤â¤Ä¡£ |
| \begin{verbatim} |
|
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| \end{verbatim} |
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| \begin{verbatim} |
\begin{tabular}{|c|c|} \hline |
| ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ |
¥Ø¥Ã¥À & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\ \hline |
| ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ |
\end{tabular} |
| ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ |
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| ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ |
|
| \end{verbatim} |
|
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| %OpenXM µ¬Ìó¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤ò¼ÂºÝ¤ËºîÀ®¤¹¤ë¾ì¹ç¡¢ |
¥á¥Ã¥»¡¼¥¸¤ÈƱÍͤ˥إåÀ¤Ï4¥Ð¥¤¥Èñ°Ì¤Ë´ÉÍý¤µ¤ì¤ë¡£¤¹¤Ê¤ï¤Á¡¢CMO ¤Ç¤Ï¥Ø¥Ã |
| CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë¿ÇÜĹÀ°¿ô¤òÍý²ò¤·¤Æ¤ª¤¯¤È¡¢ |
¥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¡¢ |
| CMO ·Á¼°¤Î¾¤Î¥Ç¡¼¥¿¹½Â¤¤À¤±¤Ç¤Ê¤¯¡¢ |
CMO ¤Ç¤Ï¡¢¥¿¥°¤Ë¤è¤Ã¤Æ¥Ü¥Ç¥£¤ÎÏÀÍýŪ¹½Â¤¤¬·èÄꤹ¤ë¡£¤¹¤Ê¤ï¤Á¡¢¥¿¥°¤Ï¤½¤ì |
| OpenXM µ¬Ìó¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ëÍÍ¡¹¤Ê¥Ç¡¼¥¿¹½Â¤¤òÍý²ò¤¹¤ë½õ¤±¤Ë¤Ê¤ë¤È»×¤¨¤ë¤Î¤Ç¡¢ |
¤¾¤ì¤Î¥Ç¡¼¥¿¹½Â¤¤È1ÂÐ1¤ËÂбþ¤¹¤ë¼±Ê̻ҤǤ¢¤ë¡£¤½¤ì¤¾¤ì¤ÎÏÀÍýŪ¹½Â¤¤Ï |
| ¤³¤³¤Ç¤Ï CMO ·Á¼°¤Î¿ÇÜĹÀ°¿ô¤Î¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤¹¤ë¡£ |
\cite{OpenXM-1999} ¤Ë¾Ü½Ò¤µ¤ì¤Æ¤¤¤ë¡£¸½ºß¤Î OpenXM µ¬Ìó¤Ç¤Ï°Ê²¼¤Î CMO ¤¬ |
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| CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë¥Ç¡¼¥¿¤Ï¿ÇÜĹÀ°¿ô°Ê³°¤Ë¤â |
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| ʸ»úÎó¤ä¥ê¥¹¥È¹½Â¤¤Ê¤É¤¬¤¢¤ë¡£¤É¤Î¤è¤¦¤Ê¥Ç¡¼¥¿¤Ç¤¢¤ë¤«¤Ï |
|
| ¥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¡£ |
|
| ¤Ê¤ª¡¢¥¿¥°¤Ï³Æ¥Ç¡¼¥¿Ëè¤Ë 32 bit ¤ÎÀ°¿ô¤Çɽ¤µ¤ì¤Æ¤ª¤ê¡¢ |
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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¤¯¡£ |
|
| \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 |
| |
#define CMO_MATHCAP 5 |
| |
|
| |
#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 |
| |
|
| |
#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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¤³¤ÎÃæ¤Ç CMO\_ERROR2, CMO\_NULL, CMO\_INT32, CMO\_DATUM, CMO\_STRING, |
| OpenXM µ¬Ìó¤Ç¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤Ç 32 bit ¤ÎÀ°¿ô 20 ¤ò |
CMO\_MATHCAP, CMO\_LIST ¤Ç¼±Ê̤µ¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤ÏºÇ¤â´ðËÜŪ¤Ê¥ª¥Ö¥¸¥§ |
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| ¤³¤Îɽ¸½ÊýË¡¤Î°ã¤¤¤Ï¥¯¥é¥¤¥¢¥ó¥È¤È¥µ¡¼¥Ð¤ÎºÇ½é¤ÎÀܳ»þ¤Ë |
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¤³¤ì¤é¤Ë¤Ä¤¤¤Æ¤Î²òÀâ¤ò¹Ô¤¦Á°¤ËµË¡¤Ë¤Ä¤¤¤Æ¡¢¾¯¤·ÀâÌÀ¤·¤Æ¤ª¤¯¡£ |
| Éä¹çÉÕ¤ÀäÂÐÃÍɽ¸½¤òÍѤ¤¤Æ¤¤¤ë¡£ |
¤³¤ÎÏÀʸ¤Ç¤Ï¡¢Âçʸ»ú¤Ç CMO\_INT32 ¤È½ñ¤¤¤¿¾ì¹ç¤Ë¤Ï¡¢¾åµ¤ÇÄêµÁ¤·¤¿¼±ÊÌ»Ò |
| ¥¿¥°°Ê¹ß¤Î·Á¼°¤Ï¼¡¤Î¤è¤¦¤Ë¤Ê¤ë¡£ |
¤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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|
| \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} $n$)) |
| \[ \mbox{sgn}(f) \times \{ b_0 (2^{32})^0 + b_1 (2^{32})^1 + \cdots |
\end{quote} |
| + b_{n-1} (2^{32})^{n-1} \} \] |
¤Ï CMO expression ¤Ç¤¢¤ë¡£¤³¤³¤Ç¡¢¾®Ê¸»ú¤Î¼ÐÂΤÇɽ¤µ¤ì¤¿``{\sl int32}'' |
| ¤È¤¤¤¦À°¿ô¤Ç¤¢¤ë¤ÈÄêµÁ¤µ¤ì¤Æ¤¤¤ë¡£ |
¤Ï 4¥Ð¥¤¥È¤ÎǤ°Õ¤Î¥Ç¡¼¥¿¤òɽ¤¹µ¹æ¤Ç¤¢¤ê¡¢``{\sl int32} $n$'' ¤ÏƱ¤¸¤¯ 4 |
| ¤¿¤À¤·¡¢ |
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| \[ \mbox{sgn}(f) = \left\{ \begin{array}{ll} |
¤Ê¤É¤Ï 4¥Ð¥¤¥È¤Î¥Ç¡¼¥¿¤ÇÀ°¿ôÃͤȤ·¤Æ¤ß¤¿¤È¤¤ÎÃͤò°ÕÌ£¤¹¤ë¡£CMO\_NULL ¤Ï |
| 1 & f>0 \\ |
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| 0 & f=0 \\ |
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| -1 & f<0 \\ \end{array} \right. \] |
¤Ê¤ª¡¢¤³¤Î¥Ç¡¼¥¿¤Ï cmo ¤Ç¤Ï¤Ê¤¤¤³¤È¤ËÃí°Õ¤·¤Æ¤Û¤·¤¤¡£ |
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%¤Ê¤ª¡¢ CMO expression ¤Çɽ¸½¤Ç¤¤Æ¤¤¤Æ¤â¡¢ |
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| ¤³¤³¤Ç¶ñÂÎÎã¤ò¤À¤½¤¦¡£ |
¤µ¤Æ¡¢¤³¤ÎµË¡¤Î¤â¤È¤Ç cmo\_int32 ¤ò¼¡¤Î¥Ç¡¼¥¿¹½Â¤¤ò»ý¤Ä¤ÈÄêµÁ¤¹¤ë¡£ |
| $4294967298 = 1 \times 2^{32} + 2$ ¤ò CMO ·Á¼°¤Î |
\begin{quote} |
| ¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¡¢Â¿ÇÜĹÀ°¿ô¤Çɽ¸½¤¹¤ë¤È¡¢ |
cmo\_int32 := (CMO\_INT32, {\sl int32} $a$) |
| \begin{center} |
\end{quote} |
| {\tt 00 00 00 14 00 00 00 02 00 00 00 02 00 00 00 01} |
|
| \end{center} |
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|
| \begin{center} |
|
| {\tt 00 00 00 14 ff ff ff ff 00 00 00 01} |
|
| \end{center} |
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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¤òÄêµÁ¤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¥ª¥Ö¥¸¥§¥¯¥È $ob$ ¤È¤¹¤ë¡£ |
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¤³¤ì¤òÍѤ¤¤Æ¡¢ cmo\_string, cmo\_list ¤òÄêµÁ¤¹¤ë¡£ |
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|
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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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% ¤³¤³¤Ç 32 bit ¤ÎÀ°¿ô¤Îɽ¸½ÊýË¡¤Ë¤Ä¤¤¤Æ¿¨¤ì¤Æ¤ª¤¯¡£ |
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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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% {\tt 00 00 00 14} ¤Èɽ¤¹ÊýË¡¤È {\tt 14 00 00 00} ¤Èɽ¤¹ÊýË¡¤¬¤¢¤ë¡£ |
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% ¥Ð¥¤¥ÈÎó¤Ëľ¤¹¤È¡¢ |
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% (CMO\_STRING, 6, ``OpenXM'') ¤Ï |
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% {\tt 00 00 00 04 00 00 00 06 4f 70 65 6e 58 4d} |
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% \end{center} |
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% CMO ·Á¼°¤Î¿ÇÜĹÀ°¿ô¤Ï¡¢ Gnu MP¥é¥¤¥Ö¥é¥êÅù¤ò»²¹Í¤Ë¤·¤Æ¤ª¤ê¡¢ |
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% \begin{tabular}{|c|c|c|c|c|} \hline |
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% $f$ & $b_0$ & $b_1$ & $\cdots$ & $b_{n-1}$ \\ \hline |
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% \end{tabular} |
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% ¤³¤³¤Ç¡¢ 1 ¤Ä¤ÎÏÈ¤Ï 4 ¥Ð¥¤¥È¤òɽ¤·¡¢ |
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% ¤³¤Î¥ª¥Ö¥¸¥§¥¯¥È¤Ï |
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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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% -1 & f<0 \\ \end{array} \right. \] |
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% ¤³¤³¤Ç¶ñÂÎÎã¤ò¤À¤½¤¦¡£ |
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% $4294967298 = 1 \times 2^{32} + 2$ ¤ò CMO ·Á¼°¤Î |
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| \section{mathcap ¤Ë¤Ä¤¤¤Æ} |
\section{mathcap ¤Ë¤Ä¤¤¤Æ} |
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\begin{tabular}{|c|c|} \hline |
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%\begin{quote} |
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% cmo\_mathcap := (CMO\_MATHCAP,{\sl cmo} obj) |
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%\end{quote} |
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¤µ¤Æ¡¢mathcap ¥ª¥Ö¥¸¥§¥¯¥È¤Î¥Ü¥Ç¥£¤Î cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ï°Ê²¼¤Î¾ò·ï¤ò |
| $A$ & $B$ & $C$ \\ \hline |
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\begin{quote} |
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(CMO\_LIST, {\sl int32} $3$, |
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{\sl cmo} $A$, {\sl cmo} $B$, {\sl cmo} $C$) |
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\end{quote} |
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%\[ \begin{tabular}{|c|c|c|} \hline |
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% $A$ & $B$ & $C$ \\ \hline |
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% \end{tabular} \] |
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| $a_1$ ¤Ï 32 ¥Ó¥Ã¥ÈÀ°¿ô¤Ç¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤ò¡¢ |
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\begin{quote} |
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(CMO\_LIST, {\sl int32} $4$, |
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{\sl cmo\_int32} $a_1$, {\sl cmo\_string} $a_2$, |
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{\sl cmo} $a_3$, {\sl cmo} $a_4$) |
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\end{quote} |
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%\[ \begin{tabular}{|c|c|} \hline |
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% $a_1$ & $a_2$ \\ \hline |
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% \end{tabular} \] |
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2 ÈÖÌܤÎÍ×ÁÇ $B$ ¤ÎÉôʬ¤Ï¼¡¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë¡£ |
| ¤³¤Î $b_1$, $b_2$, $\cdots$, $b_n$ ¤Ï¤¹¤Ù¤Æ 32 ¥Ó¥Ã¥È¤ÎÀ°¿ô¤Ç¤¢¤ë¡£ |
¤³¤Î $b_1$, $b_2$, $\cdots$, $b_n$ ¤Ï¤¹¤Ù¤Æ 32 ¥Ó¥Ã¥È¤ÎÀ°¿ô¤Ç¤¢¤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} $b_n$) |
| |
\end{quote} |
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%\[ \begin{tabular}{|c|c|c|c|} \hline |
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% $b_1$ & $b_2$ & $\cdots$ & $b_n$ \\ \hline |
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% \end{tabular} \] |
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3 ÈÖÌܤÎÍ×ÁÇ $C$ ¤Ï°Ê²¼¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë¡£ |
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\begin{quote} |
| \begin{tabular}{|c|c|c|c|} \hline |
(CMO\_LIST, {\sl int32} $n$, |
| $c_1$ & $c_2$ & $\cdots$ & $c_n$ \\ \hline |
{\sl cmo} $c_1$, {\sl cmo} $c_2$, $\cdots$, {\sl cmo} $c_n$) |
| \end{tabular} |
\end{quote} |
| }^{C} \] |
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% $c_1$ & $c_2$ & $\cdots$ & $c_n$ \\ \hline |
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\item MCP |
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| \begin{thebibliography}{99} |
\begin{thebibliography}{99} |
| \bibitem{Ohara-Takayama-Noro-1999} |
\bibitem{Ohara-Takayama-Noro-1999} |
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