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version 1.5, 2001/06/20 03:08:05

version 1.6, 2001/06/20 03:18:21

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% $OpenXM: OpenXM/doc/ascm2001p/homogeneous-network.tex,v 1.4 2001/06/20 02:50:16 noro Exp $

% $OpenXM: OpenXM/doc/ascm2001p/homogeneous-network.tex,v 1.5 2001/06/20 03:08:05 takayama Exp $

\subsection{Distributed computation with homogeneous servers}

\label{section:homog}

Line 15 with homogeneous servers.

SINGULAR \cite{Singular} implements {\it MP} interface for distributed

computation and a competitive Gr\"obner basis computation is

illustrated as an example of distributed computation.

Such a distributed computation is also possible on OpenXM as follows:

Such a distributed computation is also possible on OpenXM.

The client creates two servers and it requests

Gr\"obner basis comutations by the Buchberger algorithm the $F_4$ algorithm

to the servers for the same input.

The client watches the streams by {\tt ox\_select()}

and the result which is returned first is taken. Then the remaining

server is reset.

\begin{verbatim}

extern Proc1,Proc2$

extern Proc1,Proc2$ Proc1 = -1$ Proc2 = -1$

Proc1 = -1$ Proc2 = -1$

/* G:set of polys; V:list of variables */

/* Mod: the Ground field GF(Mod); O:type of order */

def dgr(G,V,Mod,O)

Line 50 def dgr(G,V,Mod,O)

Line 42 def dgr(G,V,Mod,O)

return [Win,R];

}

\end{verbatim}

In the above Asir program, the client creates two servers and it requests

Gr\"obner basis comutations by the Buchberger algorithm the $F_4$ algorithm

to the servers for the same input.

The client watches the streams by {\tt ox\_select()}

and the result which is returned first is taken. Then the remaining

server is reset.

\subsubsection{Nesting of client-server communication}