| version 1.72, 1999/12/24 12:03:33 |
version 1.73, 1999/12/24 15:42:24 |
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| %% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.71 1999/12/24 11:16:45 tam Exp $ |
%% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.72 1999/12/24 12:03:33 tam Exp $ |
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| \usepackage{jssac} |
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| \title{ |
\title{ |
| 1. °ÕÌ£¤â¤Ê¤¤½¤¾þ²á¾ê¤Ê¸ì¶ç¤ÏÇÓ½ü¤·¤Þ¤·¤ç¤¦¡£\\ |
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| Line 144 OpenXM µ¬Ìó¤Ç¤Î·×»»¤È¤Ï¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤³¤È¤Ç¤¢¤ë¡ |
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| \end{enumerate} |
\end{enumerate} |
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| \section{OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó} |
\section{OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó}\label{sec:oxsm} |
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|
| OpenXM µ¬Ìó¤Ç¤Ï¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ç¤¢¤ë¤ÈÄêµÁ¤·¤Æ¤¤¤ë¡£°Ê²¼¡¢OpenXM |
OpenXM µ¬Ìó¤Ç¤Ï¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ç¤¢¤ë¤ÈÄêµÁ¤·¤Æ¤¤¤ë¡£°Ê²¼¡¢OpenXM |
| ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤È¸Æ¤Ö¡£¤³¤ÎÀá¤Ç¤ÏOpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Î¹½Â¤¤Ë¤Ä¤¤¤ÆÀâÌÀ |
¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤È¸Æ¤Ö¡£¤³¤ÎÀá¤Ç¤ÏOpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Î¹½Â¤¤Ë¤Ä¤¤¤ÆÀâÌÀ |
| Line 198 OpenXM µ¬Ìó¤Ç¤Ï¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ç¤¢¤ë¤ÈÄêµÁ¤·¤Æ¤ |
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| Line 201 OpenXM µ¬Ìó¤Ç¤Ï¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ç¤¢¤ë¤ÈÄêµÁ¤·¤Æ¤ |
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| ɬÍפǤ¢¤í¤¦¡£ |
ɬÍפǤ¢¤í¤¦¡£ |
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| \section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤} |
\section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤}\label{sec:cmo} |
| |
|
| 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 |
| Line 211 CMO ·Á¼°¤Ë¤ª¤±¤ë¥Ç¡¼¥¿¹½Â¤¤Ï¼¡¤Î¤è¤¦¤Ê¹½Â¤¤ò¤â¤Ä¡£ |
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| Line 214 CMO ·Á¼°¤Ë¤ª¤±¤ë¥Ç¡¼¥¿¹½Â¤¤Ï¼¡¤Î¤è¤¦¤Ê¹½Â¤¤ò¤â¤Ä¡£ |
|
| ¥Ø¥Ã¥À & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\ \hline |
¥Ø¥Ã¥À & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\ \hline |
| \end{tabular} |
\end{tabular} |
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| ¥Ø¥Ã¥À¤Ï4¥Ð¥¤¥È¤Ç¤¢¤ë¡£ |
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| %¤³¤³¤Ç¤Ï CMO ·Á¼°¤ÎÃæ¤Ç¤â¤è¤¯»È¤ï¤ì¤ë¤â¤Î¤Î¤ß¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë¡£ |
¥á¥Ã¥»¡¼¥¸¤ÈƱÍͤ˥إåÀ¤Ï4¥Ð¥¤¥Èñ°Ì¤Ë´ÉÍý¤µ¤ì¤ë¡£¤¹¤Ê¤ï¤Á¡¢CMO ¤Ç¤Ï¥Ø¥Ã |
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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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| ¤è¤¯»È¤ï¤ì¤ë¤È»×¤ï¤ì¤ë CMO ·Á¼°¤Î¥¿¥°¤ò¤¢¤²¤Æ¤ª¤¯¡£ |
|
| \begin{verbatim} |
\begin{verbatim} |
| #define CMO_INT32 2 /* (CMO ·Á¼°¤Î)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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|
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#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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|
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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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|
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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 |
| |
#define CMO_TREE 61 |
| |
#define CMO_LAMBDA 62 |
| \end{verbatim} |
\end{verbatim} |
| ¥¿¥°°Ê¹ß¤Ï¥Ç¡¼¥¿ËÜÂΤǤ¢¤ê¡¢¥Ç¡¼¥¿ËÜÂΤι½Â¤¤Ï¥Ç¡¼¥¿¤Î¼ïÎà¤Ë¤è¤Ã¤Æ°Û¤Ê¤ë¡£ |
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| CMO ·Á¼°¤ÎÀ°¿ôÃÍ $123456789$ ¤òɽ¤¹ CMO\_INT32 ¤Ï |
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| \begin{tabular}{|c|c|} \hline |
¤³¤ÎÃæ¤Ç CMO\_INT32, ... ¤Ç¼±Ê̤µ¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤ÏºÇ¤â´ðËÜŪ¤Ê¥ª¥Ö¥¸¥§ |
| CMO\_INT32 & $123456789$ \\ \hline |
¥¯¥È¤Ç¤¢¤Ã¤Æ¡¢¤¹¤Ù¤Æ¤Î OpenXM Âбþ¥·¥¹¥Æ¥à¤Ë¼ÂÁõ¤µ¤ì¤Æ¤¤¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£ |
| \end{tabular} |
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| ¤ÈÄêµÁ¤µ¤ì¤Æ¤¤¤ë¤¬¡¢¤³¤ì¤ò°Ê¸å (CMO\_INT32, 123456789) ¤È¤·¤Æɽ¤¹¡£ |
¤³¤ì¤é¤Ë¤Ä¤¤¤Æ¤Î²òÀâ¤ò¹Ô¤¦Á°¤ËµË¡¤Ë¤Ä¤¤¤Æ¡¢¾¯¤·ÀâÌÀ¤·¤Æ¤ª¤¯¡£ |
| ¤³¤ÎɽµÊý¤ò CMO expression ¤È¤¤¤¦¡£ |
¤³¤ÎÏÀʸ¤Ç¤Ï¡¢Âçʸ»ú¤Ç CMO\_INT32 ¤È½ñ¤¤¤¿¾ì¹ç¤Ë¤Ï¡¢¾åµ¤ÇÄêµÁ¤·¤¿¼±ÊÌ»Ò |
| ƱÍͤˡ¢Ä¹¤µ 6 ¤Îʸ»úÎó {\tt ``OpenXM''} ¤ò CMO\_STRING ¤Çɽ¤¹¤È¡¢ |
¤òɽ¤ï¤¹¡£¤Þ¤¿ CMO\_INT32 ¤Ç¼±Ê̤µ¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤Î¥¯¥é¥¹(¤¢¤ë¤¤¤Ï¥Ç¡¼ |
| (CMO\_STRING, 6, ``OpenXM'') ¤È¤Ê¤ë¡£ |
¥¿¹½Â¤)¤ò cmo\_int32 ¤È¾®Ê¸»ú¤Çɽ¤ï¤¹¤³¤È¤Ë¤¹¤ë¡£ |
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| ¤³¤³¤Ç 32 bit ¤ÎÀ°¿ô¤Îɽ¸½ÊýË¡¤Ë¤Ä¤¤¤Æ¿¨¤ì¤Æ¤ª¤¯¡£ |
¤µ¤Æ cmo ¤òɽ¸½¤¹¤ë¤¿¤á¤Î°ì¤Ä¤ÎµË¡¤òƳÆþ¤¹¤ë¡£¤³¤ÎµË¡¤Ï CMO expression |
| OpenXM µ¬Ìó¤Ç¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤Ç 32 bit ¤ÎÀ°¿ô 20 ¤ò |
¤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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| Àè¤Û¤É¤Î¡¢ (CMO\_INT32, 123456789) ¤ò¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¤Ç |
¤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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¤Æɽ¸½¤¹¤ë¡£¤½¤ì¤¾¤ì¤ÎÍ×ÁǤϥ«¥ó¥Þ¤Ç¶èÀڤ롣 |
| \begin{center} |
Î㤨¤Ð¡¢ |
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\begin{quote} |
| \end{center} |
(17, {\sl int32}, (CMO\_NULL), (2, {\sl int32} $n$)) |
| ¤È¤Ê¤ê¡¢ |
\end{quote} |
| (CMO\_STRING, 6, ``OpenXM'') ¤Ï |
¤Ï CMO expression ¤Ç¤¢¤ë¡£¤³¤³¤Ç¡¢¾®Ê¸»ú¤Î¼ÐÂΤÇɽ¤µ¤ì¤¿``{\sl int32}'' |
| \begin{center} |
¤Ï 4¥Ð¥¤¥È¤ÎǤ°Õ¤Î¥Ç¡¼¥¿¤òɽ¤¹µ¹æ¤Ç¤¢¤ê¡¢``{\sl int32} $n$'' ¤ÏƱ¤¸¤¯ 4 |
| {\tt 00 00 00 04 00 00 00 06 4f 70 65 6e 58 4d} |
¥Ð¥¤¥È¤Î¥Ç¡¼¥¿¤Ç¤¢¤ë¤¬°Ê²¼¤ÎÀâÌÀ¤Ç $n$ ¤Èɽ¤¹¤³¤È¤ò¼¨¤¹¡£¤Þ¤¿¿ô»ú 17, 2 |
| \end{center} |
¤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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¤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}) |
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\end{quote} |
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{\Huge ƱÍÍ¤Ë cmo\_string, cmo\_list ¤Ê¤É¤òÄêµÁ!!} |
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| $f$ & $b_0$ & $b_1$ & $\cdots$ & $b_{n-1}$ \\ \hline |
% OpenXM µ¬Ìó¤Ç¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤Ç 32 bit ¤ÎÀ°¿ô 20 ¤ò |
| \end{tabular} |
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