Annotation of OpenXM/doc/issac2000/openxm-stackmachines.tex, Revision 1.9
1.9 ! takayama 1: % $OpenXM: OpenXM/doc/issac2000/openxm-stackmachines.tex,v 1.8 2000/01/15 03:46:27 noro Exp $
1.2 takayama 2:
1.9 ! takayama 3: \section{OpenXM Stack machines}\label{sec:ox-stackmachines}
1.2 takayama 4:
1.4 ohara 5: In OpenXM specification, all servers are stack machines.
1.8 noro 6: %These are called OpenXM stack machines.
1.3 takayama 7: When a server ox\_xyz gets an OX data message,
1.9 ! takayama 8: it translates the data into a local object of ox\_xyz
! 9: and pushes the object onto the stack.
! 10: According to the OpenMath specification,
1.8 noro 11: the translation scheme together with definitions of mathematical operations
12: of the system ox\_xyz is called the {\it PhraseBook} of ox\_xyz.
1.2 takayama 13:
1.3 takayama 14: Any OX command message starts with the int32 tag OX\_COMMAND.
1.8 noro 15: The body is an OpenXM stack machine operation code expressed by int32.
1.2 takayama 16: The codes are listed below.
17: \begin{verbatim}
18: #define SM_popSerializedLocalObject 258
19: #define SM_popCMO 262
20: #define SM_popString 263
21: #define SM_mathcap 264
22: #define SM_pops 265
23: #define SM_setName 266
24: #define SM_evalName 267
25: #define SM_executeStringByLocalParser 268
26: #define SM_executeFunction 269
27: #define SM_beginBlock 270
28: #define SM_endBlock 271
29: #define SM_shutdown 272
30: #define SM_setMathCap 273
31: #define SM_executeStringByLocalParserInBatchMode 274
32: #define SM_getsp 275
33: #define SM_dupErrors 276
34: #define SM_control_kill 1024
35: #define SM_control_to_debug_mode 1025
36: #define SM_control_exit_debug_mode 1026
37: #define SM_control_reset_connection 1030
38: \end{verbatim}
39:
40: OpenXM does not have a standard for mathematical operation sets
1.9 ! takayama 41: while it is a work in progress in the GAP group \cite{gap}.
1.8 noro 42: Each OpenXM server has its own set of mathematical operations,
43: which are performed as follows.
1.9 ! takayama 44: First, arguments for a mathematical operation
! 45: and the number of the arguments are pushed.
! 46: Second,
! 47: the mathematical operator name,
! 48: such as {\tt fctr} (asir factorization command),
! 49: is pushed as a string.
! 50: Finally, the stack machine command
! 51: {\tt SM\_executeFunction} (269) evaluates the operator and
! 52: pushes the result onto the stack
! 53: after poping the operator name, the number of arguments
! 54: and arguments.
1.2 takayama 55: For example, the following code factorizes $x^{100}-1$ by calling
1.9 ! takayama 56: {\tt ox\_asir} from asir.
1.2 takayama 57: \begin{verbatim}
58: P = ox_launch();
1.8 noro 59: ox_push_cmo(P,x^100-1); ox_push_cmo(P,ntoint32(1));
1.2 takayama 60: ox_push_cmd(P,269);
61: Ans = ox_pop_cmo(P);
62: \end{verbatim}
63:
64: When an error has occurred on an OpenXM server,
65: an error object is pushed to the stack instead of a result of the computation.
66: The error object consists of the serial number of the OX message
67: which caused the error, and an error message.
68: \begin{verbatim}
69: [341] ox_rpc(0,"fctr",1.2*x)$
70: [342] ox_pop_cmo(0);
71: error([8,fctr : invalid argument])
72: \end{verbatim}
73:
1.7 tam 74: OpenXM server won't send error messages to the client
1.9 ! takayama 75: except when it receives a {\tt SM\_pop*} command.
! 76: OX stackmachines work in the asynchronous mode which is similar
1.2 takayama 77: to X servers.
1.9 ! takayama 78: For servers for graphic and sound applications, it is an advantageous feature.
1.2 takayama 79: It is also easy to emulate RPC and a web server for MCP \cite{iamc}
1.3 takayama 80: on our asynchronous OX stackmachines.
1.2 takayama 81:
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