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Annotation of OpenXM/doc/issac2000/openxm-stackmachines.tex, Revision 1.6

1.6     ! ohara       1: % $OpenXM: OpenXM/doc/issac2000/openxm-stackmachines.tex,v 1.5 2000/01/07 10:22:41 ohara Exp $
1.2       takayama    2:
1.6     ! ohara       3: \section{OpenXM Stack machines}\label{sec:ox-stackmachines} (Tamura)
1.2       takayama    4:
1.4       ohara       5: In OpenXM specification, all servers are stack machines.
                      6: These are called OpenXM stack machines.
1.3       takayama    7: When a server ox\_xyz gets an OX data message,
1.5       ohara       8: it translates the data into an object of its local mathematical system
                      9: and push the object on the stack.
1.3       takayama   10: The translation scheme together with definitions of
                     11: mathematical operations
1.5       ohara      12: of the system ox\_xyz is called the {\it PhraseBook} of
1.3       takayama   13: ox\_xyz following the OpenMath specification.
1.2       takayama   14:
1.3       takayama   15: Any OX command message starts with the int32 tag OX\_COMMAND.
1.5       ohara      16: The body is OpenXM stack machine operation code expressed by int32.
1.2       takayama   17: The codes are listed below.
                     18: \begin{verbatim}
                     19: #define SM_popSerializedLocalObject               258
                     20: #define SM_popCMO                                 262
                     21: #define SM_popString                              263
                     22: #define SM_mathcap                                264
                     23: #define SM_pops                                   265
                     24: #define SM_setName                                266
                     25: #define SM_evalName                               267
                     26: #define SM_executeStringByLocalParser             268
                     27: #define SM_executeFunction                        269
                     28: #define SM_beginBlock                             270
                     29: #define SM_endBlock                               271
                     30: #define SM_shutdown                               272
                     31: #define SM_setMathCap                             273
                     32: #define SM_executeStringByLocalParserInBatchMode  274
                     33: #define SM_getsp                                  275
                     34: #define SM_dupErrors                              276
                     35: #define SM_DUMMY_sendcmo                          280
                     36: #define SM_sync_ball                              281
                     37: #define SM_control_kill                          1024
                     38: #define SM_control_to_debug_mode                 1025
                     39: #define SM_control_exit_debug_mode               1026
                     40: #define SM_control_reset_connection              1030
                     41: \end{verbatim}
                     42:
                     43: OpenXM does not have a standard for mathematical operation sets
1.3       takayama   44: while it is a work in progress in \cite{gap}.
1.2       takayama   45: Each OpenXM server has its own mathematical operation set.
1.3       takayama   46: Mathematical operations are performed as follows.
1.2       takayama   47: Mathematical operator name, such as fctr (asir factorization command),
                     48: is pushed as a string,
1.4       ohara      49: the stack machine command
1.3       takayama   50: SM\_executeFunction (269) pops the operator name, the number of arguments
                     51: and arguments, and
1.4       ohara      52: the OX stack machine evaluates the operator, and pushes the result on the stack.
1.2       takayama   53: For example, the following code factorizes $x^{100}-1$ by calling
1.3       takayama   54: ox\_asir from asir.
1.2       takayama   55: \begin{verbatim}
                     56: P = ox_launch();
                     57: ox_push_cmo(P,x^100-1); ox_push_cmo(P,ox_int32(1));
                     58: ox_push_cmd(P,269);
                     59: Ans = ox_pop_cmo(P);
                     60: \end{verbatim}
                     61:
                     62: When an error has occurred on an OpenXM server,
                     63: an error object is pushed to the stack instead of a result of the computation.
                     64: The error object consists of the serial number of the OX message
                     65: which caused the error, and an error message.
                     66: \begin{verbatim}
                     67: [341] ox_rpc(0,"fctr",1.2*x)$
                     68: [342] ox_pop_cmo(0);
                     69: error([8,fctr : invalid argument])
                     70: \end{verbatim}
                     71:
                     72: Errors are not sent to the client except a SM\_pop* command is received.
1.3       takayama   73: OX stackmachines works in the asynchronous mode which is similar
1.2       takayama   74: to X servers.
1.3       takayama   75: For servers for graphic applications, it is an advantageous feature.
1.2       takayama   76: It is also easy to emulate RPC and a web server for MCP \cite{iamc}
1.3       takayama   77: on our asynchronous OX stackmachines.
1.2       takayama   78:
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