Annotation of OpenXM/doc/calc2000/data-format.tex, Revision 1.1.1.1
1.1 noro 1: % $OpenXM: OpenXM/doc/issac2000/data-format.tex,v 1.9 2000/01/16 10:55:40 takayama Exp $
2:
3: \section{Data Format}
4:
5: OpenXM admits multiple mathematical encodings such as OpenMath, MP, CMO
6: (Common Mathematical Object format).
7: OpenXM itself does not exhibit a bias towards a particular encodings
8: as a main mathematical data carrier and an OpenXM compliant system do not need to
9: implement all possible data formats.
10: However they should at least implement seven primitive
11: data types of the CMO, which are necessary to
12: carry several control informations such as a {\it mathcap}.
13: Mathcap is a list of supported CMO's, OpenXM stack machine codes,
14: and necessary extra informations.
15: If a program sends an OX messages unknown to its peer,
16: an unrecoverable error may occur.
17: By exchanging mathcaps, a program knows its peer's capability
18: and such an error can be avoided.
19: Mathcap is also defined as a CMO.
20: See \cite{noro-takayama} for the details.
21:
22: Encoding types of OX data are distinguished with tags
23: of OX messages.
24: For example,
25: an OX message with the tag
26: {\tt OX\_DATA} is followed by a CMO packet.
27: An OX message with the tag
28: {\tt OX\_DATA\_OPENMATH\_XML} is followed by
29: an OpenMath XML string.
30:
31: Let us explain the data format of CMO.
32: Any CMO packet consists of a header and a body.
33: The size of the header is 4 bytes that tags the data type of the body.
34: Data type tags are signed 32 bit integers which is called {\sl int32} in this
35: paper.
36: Following tags are registered in the OpenXM.
37: \begin{verbatim}
38: CMO_ERROR2, CMO_NULL, CMO_INT32, CMO_DATUM, CMO_STRING,
39: CMO_MATHCAP, CMO_LIST, CMO_MONOMIAL32, CMO_ZZ, CMO_QQ, CMO_ZERO,
40: CMO_DMS_GENERIC, CMO_DMS_OF_N_VARIABLES, CMO_RING_BY_NAME,
41: CMO_RECURSIVE_POLYNOMIAL, CMO_LIST_R, CMO_INT32COEFF,
42: CMO_DISTRIBUTED_POLYNOMIAL, CMO_POLYNOMIAL_IN_ONE_VARIABLE,
43: CMO_RATIONAL, CMO_64BIT_MACHINE_DOUBLE,
44: CMO_ARRAY_OF_64BIT_MACHINE_DOUBLE, CMO_BIGFLOAT,
45: CMO_IEEE_DOUBLE_FLOAT, CMO_INDETERMINATE, CMO_TREE, CMO_LAMBDA
46: \end{verbatim}
47: The first seven primitive types should be implemented
48: on all OpenXM compliant systems.
49: The formats are as follows. \\
50: \begin{tabular}{|c|c|}
51: \hline
52: {\sl int32} {\tt CMO\_ERROR2} & {\sl CMObject} {\rm ob} \\
53: \hline
54: \end{tabular} \\
55: \begin{tabular}{|c|c|}
56: \hline
57: {\sl int32} {\tt CMO\_NULL} \\
58: \hline
59: \end{tabular} \\
60: \begin{tabular}{|c|c|}
61: \hline
62: {\sl int32} {\tt CMO\_INT32}& {\sl int32} {\rm n} \\
63: \hline
64: \end{tabular} \\
65: \begin{tabular}{|c|c|c|c|c|}
66: \hline
67: {\sl int32} {\tt CMO\_STRING}& {\sl int32} {\rm n} & {\sl byte} {\rm data[0]} $\cdots$ & {\sl byte} {\rm data[n-1]} \\ \hline
68: \end{tabular} \\
69: \begin{tabular}{|c|c|}
70: \hline
71: {\sl int32} {\tt CMO\_MATHCAP} & {\sl CMObject} {\rm ob} \\
72: \hline
73: \end{tabular} \\
74: \begin{tabular}{|c|c|c|c|c|}
75: \hline
76: {\sl int32} {\tt CMO\_LIST}& {\sl int32} {\rm n} & {\sl CMObject} {\rm ob[0]}
77: $\cdots$ & {\sl CMObject} {\rm ob[n-1]} \\ \hline
78: \end{tabular} \\
79:
80: As to the formats of other CMO's, see \cite{noro-takayama}.
81:
82: When one wants to implement CMO on a server, the person proceeds
83: as follows.
84: \begin{enumerate}
85: \item Look for the list of CMO's at the web cite \cite{openxm-web}.
86: If there is a CMO that fits to one's requirement, then use this CMO.
87: \item If there is no suitable CMO, design a new CMO and register
88: the new CMO to \cite{openxm-web} with a description and examples.
89: \end{enumerate}
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