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Diff for /OpenXM/src/kan96xx/Doc/ox.sm1 between version 1.9 and 1.55

version 1.9, 2000/01/19 10:02:11 version 1.55, 2006/03/03 02:30:09
Line 1 
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 %%%%%%%%%%%  $OpenXM: OpenXM/src/kan96xx/Doc/ox.sm1,v 1.8 2000/01/19 08:33:27 takayama Exp $  %%%%%%%%%%%  $OpenXM: OpenXM/src/kan96xx/Doc/ox.sm1,v 1.54 2006/03/03 00:43:02 takayama Exp $
 %%%%%%%%%%%% Configuration: Specify your server path  
 %%%%% ox, ox_sm1, oxlog are contained in kxx.tgz  
 %%%%% These should be under /usr/local/lib/sm1 or LOAD_SM1_PATH  
 /oxpath.ox (bin/ox) def  
 /oxpath.oxsm1 (bin/ox_sm1) def  
 /oxpath.oxlog (bin/oxlog) def  
 /oxpath.xterm (/usr/X11R6/bin/xterm  -icon  -e ) def  
 /oxpath.null  (  ) def  
 /oxpath.null00  ( >& /dev/null ) def  %%cf. oxNoX  
 /oxpath.null00-pure-sh ( 2>&1 >/dev/null) def %%TODO:It does not work in our case  
 %%%%%%%%%%%%%  The following is used only for sm1connectr-ssh.  
 %%%%%%%%%%%%%  Configure path for ox and ox_sm1 on your remote machine.  
 /oxpath.oxlog.xterm-ssh (/home/taka/OpenXM/bin/oxlog /usr/X11R6/bin/xterm -icon -e ) def  
 /oxpath.oxsm1-ssh (/home/taka/OpenXM/bin/ox_sm1) def  
 /oxpath.ox-ssh    (/home/taka/OpenXM/bin/ox) def  
 /myhostname-ssh   (yama.math.kobe-u.ac.jp) def  
 %% for debugging.  
 %/oxpath.oxlog.xterm-ssh ( ) def  
 %/oxpath.oxsm1-ssh (/home/nobuki/OpenXM/bin/ox_sm1) def  
 %/oxpath.ox-ssh    (/home/nobuki/OpenXM/bin/ox) def  
 %/myhostname-ssh   (localhost) def  
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  
 %% Old full path.  
 %/oxpath.ox (/home/nobuki/kxx/ox) def  
 %/oxpath.oxsm1 (/home/nobuki/kxx/ox_sm1) def  
 %/oxpath.oxlog (/home/nobuki/kxx/oxlog) def  
 %/oxpath.xterm (/usr/X11R6/bin/xterm  -icon  -e ) def  
   
 %% This macro is invoked when this package is loaded.  /ox.sm1.myname (ox-new.sm1) def
 /initializePathNamesForOx  {  
    [oxpath.ox] getPathNameSm1 /oxpath.ox set  
    [oxpath.oxsm1] getPathNameSm1 /oxpath.oxsm1 set  
    [oxpath.oxlog] getPathNameSm1 /oxpath.oxlog set  
    /oxpath.oxlog.xterm [oxpath.oxlog ( ) oxpath.xterm] cat def  
 } def  
   
 %% Execute this macro, then xterm will not be executed and the output  [(ostype)] extension 0 get (unix) eq {
 %% will be redirected to /dev/null.    /oxstart100
 /oxNoX {      [[(getenv) (OpenXM_HOME)] extension (/bin/ox100start )] cat
    /oxpath.null oxpath.null00 def    def
    /oxpath.oxlog.xterm [oxpath.oxlog ( )] cat def  } {
    (oxpath.oxlog.xterm is set to ) messagen    /oxstart100
    oxpath.oxlog.xterm message     [[(getenv) (OpenXM_HOME)] extension
 } def      (/bin/ox100start.exe )] cat
     def
   } ifelse
   [(getenv) (OXSTART100)] extension tag 0 eq not {
     /oxstart100 [(getenv) (OXSTART100)] extension def
   } {  } ifelse
   oxstart100  message-quiet
   
 /ox.ccc.init { ox.ccc ( [(oxPrintMessage) 0] extension pop ) oxsubmit } def  /ox.sm1.loaded 1 def
   /oxasir.sm1.loaded 1 def
   /ox.k0.loaded 1 def
   /Ox103_loaded 1 def
   
 /ox.verbose 0   def  /ox.verbose 0   def
 /ox.version (2.981105) def  /ox.version (3.030000) def
 ox.version [(Version)] system_variable gt  ox.version [(Version)] system_variable gt
 { (This package requires the latest version of kan/sm1) message  { (This package requires the latest version of kan/sm1) message
   (Please get it from http://www.math.kobe-u.ac.jp/KAN) message    (Please get it from http://www.math.kobe-u.ac.jp/KAN) message
   error    error
 } { } ifelse  } { } ifelse
 (ox.sm1, --- open sm1 protocol module 11/11,1999  (C) N.Takayama. oxhelp for help) message-quiet  (ox.sm1, ---OpenXM protocol module 07/20, 2003  (C) N.Takayama.) message-quiet
   (           for ox_sm1, ox_asir, ox_k0 ) message-quiet
   
 /ox.ccc load isArray  /ox.ccc load isArray
 { }  { }
 { /ox.ccc [ ] def } ifelse  { /ox.ccc [ ] def } ifelse
   /oxsm1.ccc load isArray
   { }
   { /oxsm1.ccc [ ] def } ifelse
   /ox.takelog 0 def
   
   (@@@.Xm_noX) boundp {
   }{
     /@@@.Xm_noX 0 def
   } ifelse
   (Xm_noX) boundp {
     /@@@.Xm_noX Xm_noX def
   }{  } ifelse
   /Xm_noX @@@.Xm_noX def
   /Xm_engineLogToStdout 0 def
   
   /oxNoX {
      /Xm_noX 1 def
   } def
   
 /ox.logsize 10 def  
 /ox.log [1 1 ox.logsize {pop 0} for ] def  
 /ox.mod { dup ox.logsize idiv ox.logsize mul sub } def  
 /ox.takelog 1 def  
   
   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   %%%   basic functions for OX-RFC 100
   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 /SM_executeStringByLocalParser 268 def  /SM_executeStringByLocalParser 268 def
 /SM_execute 268 def  /SM_execute 268 def
 /SM_popString  263  def  /SM_popString  263  def
Line 73  ox.version [(Version)] system_variable gt 
Line 65  ox.version [(Version)] system_variable gt 
   
 /SM_popCMO 262 def  /SM_popCMO 262 def
 /SM_executeFunction 269 def  /SM_executeFunction 269 def
 /SM_DUMMY_sendcmo  280 def  /SM_DUMMY_sendcmo   2147418112 1 add def    %%% SM_PRIVATE+1
 /SM_sync_ball 281 def  /SM_sync_ball 281 def
   
 /SM_pops  265  def  /SM_pops  265  def
Line 85  ox.version [(Version)] system_variable gt 
Line 77  ox.version [(Version)] system_variable gt 
 /SM_getsp     275  def  /SM_getsp     275  def
 /SM_dupErrors 276  def  /SM_dupErrors 276  def
   
   /SM_pushCMOtag 277 def
   /SM_executeFunctionWithOptionalArgument 282 def
   
 /SM_control_kill 1024 def  /SM_control_kill 1024 def
 /SM_control_reset_connection  1030 def  /SM_control_reset_connection  1030 def
   /SM_control_spawn_server  1027 def
   
 /Etag_error 257 def  /Etag_error 257 def
   
 /enginesList [  
   [(localhost) 1300 1200]  
   [(localhost) 2300 2200]  
 ] def  
 %% cf. startengines  
 /enginesList.2 [  
   [(dc1) 1300 1200]  
   [(dc2) 2300 2200]  
 ] def  
 %% cf. se12  
   
 /oxconnect {  
   /arg1 set  
   [(oxCreateClient) arg1 aload pop] extension  
 } def  
 [(oxconnect)  
  [([hostname data-port control-port] oxconnect pid)  
   (oxconnect is used to connect this to a server on the hostname with data-port)  
   (and control-port)  
   (Example 1:  ox -ox ox_sm1 -data 1300 -control 1200    <== on server.)  
   (            [$localhost$ 1300 1200] oxconnect /ox.ccc set  <== on client.)  
   (Example 2:  ox -ox ox_sm1 -host s.OpenXM.org -insecure -data 1300 -control 1200    <== on server.)  
   (            [$s.OpenXM.org$ 1300 1200] oxconnect /ox.ccc set  <== on client.)  
   (Example 3:  ox -ox ox_sm1 -data 1300 -control 1200  >& /dev/null &<== on server.)  
   (            [$localhost$ 1300 1200] oxconnect /ox.ccc set  <== on client.)  
   (           cf. oxNoX)  
   (See also ox)  
  ]  
 ] putUsages  
   
 [(ox)  [(ox)
  [   [
   (client aa oxpushcmo (oxsendcmo), client oxpopcmo dd, client popstring dd, client ss oxrpc)    (client aa oxpushcmo (oxsendcmo), client oxpopcmo dd, client popstring dd, client ss oxrpc)
  (Example: ox.ccc [1 2 3] oxpushcmo ox.ccc oxpopcmo /ff set  ff :: )   (Example: oxsm1.ccc [1 2 3] oxpushcmo oxsm1.ccc oxpopcmo /ff set  ff :: )
  (  )   (  )
  (client ss oxexecutestring(oxsubmit) <<executeString>>, client ss oxexec <<executeFunction>>)   (client ss oxexecutestring(oxsubmit) <<executeString>>, client ss oxexec <<executeFunction>>)
    (client ss oxexecWithOpt )
   
  (Example: ox.ccc (0 1 10 { pop $Hello$ message } for) oxexecutestring )   (Example: oxsm1.ccc (0 1 10 { pop $Hello$ message } for) oxexecutestring )
  (Example: ox.ccc (2).. oxpushcmo ox.ccc (10).. oxpushcmo )   (Example: oxsm1.ccc (2).. oxpushcmo oxsm1.ccc (10).. oxpushcmo )
  (         ox.ccc (power) oxexec  ox.ccc oxpopcmo :: )   (         oxsm1.ccc (power) oxexec  oxsm1.ccc oxpopcmo :: )
  (  )   (  )
  (client str oxevalname, client str oxsetname, client num oxpops, client oxget)   (client str oxevalname, client str oxsetname, client num oxpops, client oxget)
  (   )   (   )
  (client oxmathcap, client oxsetmathcap, oxgenportfile, oxremoveportfile)   (client oxmathcap, client oxsetmathcap, oxgenportfile, oxremoveportfile)
    (client oxpushcmotag)
  (   )   (   )
  (client oxgetsp --- get stack pointer,  client oxgeterrors --- get all errors)   (client oxgetsp --- get stack pointer,  client oxgeterrors --- get all errors)
    (client oxclearstack --- clear the stack of the ox server.)
  (cleint oxisData, client oxreset, client oxshutdown)   (cleint oxisData, client oxreset, client oxshutdown)
  (oxhelp for this message, [(oxWatch) client] extension to start a log.)   (oxhelp for this message)
    ([(oxWatch) client] extension to start a log.)
    $        ex 1.  (ox.sm1) run sm1connectr [(oxWatch) oxsm1.ccc] extension  $
    $               oxsm1.ccc ( [(cmoLispLike) 0] extension ) oxsubmit $
    $               oxsm1.ccc ( [(cmoLispLike) 1] extension ) oxsubmit $
  ([(oxSerial)] extension serial-number-of-out-going-ox-packet.)   ([(oxSerial)] extension serial-number-of-out-going-ox-packet.)
  (oxpopcmo1, oxpopcmo2,  sm1connect2, sm1connect3)   (oxpopcmo1, oxpopcmo2, sm1connectr ox_launch, ox_launch_nox)
  (sm1connectr ox_launch, ox_launch_nox)  
  (oxNoX : set an environment to invoke oxlog without xterm and to call oxlog with >& /dev/null)   (oxNoX : set an environment to invoke oxlog without xterm and to call oxlog with >& /dev/null)
  $        ex 1.  (ox.sm1) run oxNoX sm1connectr $   $        ex 1.  (ox.sm1) run oxNoX sm1connectr $
  $        ex 2.  (oxasir.sm1) run oxNoX (x^2-1). fctr pmat ; $   $        ex 2.  (ox.sm1) run oxNoX (x^2-1). fctr pmat ; $
    $   $
    $cf. extension-oxLog $
  ]   ]
 ] putUsages  ] putUsages
   
 /oxhelp {  [(extension-oxLog)
  (oxconnect) usage  [
  (  ) message  $Take the log of communication in files.$
  (ox) usage  $[(oxLog) client logfile_for_incomming_data logfile_for_outgoing_data] extension $
 } def  $Example:$
 [(oxhelp)  $  [(parse) (ox.sm1) pushfile] extension$
  [(oxhelp  outputs help messages for ox commands.)  $  sm1connectr$
   $  (i.t) (w) file /ii set$
   $  (o.t) (w) file /oo set$
   $  [(oxLog) oxsm1.ccc ii oo] extension $
   $  [(oxWatch) oxsm1.ccc ] extension$
   $  oxsm1.ccc 1 oxpushcmo ;$
   $  oxsm1.ccc oxpopcmo ;$
   $  [(oxLogStop) oxsm1.ccc] extension$
 ]] putUsages  ]] putUsages
   
 ox.verbose { oxhelp } {  } ifelse  /oxconnect {
     /arg1 set
 /sm1connect2 {    [(oxCreateClient) arg1 aload pop] extension
  [oxpath.oxlog.xterm   oxpath.ox ( -ox ) oxpath.oxsm1  
   oxpath.null  
   ( &)] cat system-csh  
 % (kterm -iconic -e /home/nobuki/kxx/ox -ox /home/nobuki/kxx/ox_sm1 &) system  
 % For MSRI, or Eterm,  
 %(xterm -icon -e /u/nobuki/tmp/kxx/ox -ox /u/nobuki/tmp/Ox/ox_sm1 &) system  
  (If you start the server automatically, you may have a trouble to) message  
  (oxreset. In order to avoid this trouble, start the server by hand.) message  
  (sleep 5) system-csh  
   [(localhost) 1300 1200] oxconnect /ox.ccc set  
  (The server is binded to the variable ox.ccc) message  
  ox.ccc.init  
 } def  } def
   
 /sm1connect3 {  ox.verbose { oxhelp } {  } ifelse
  [oxpath.oxlog.xterm   oxpath.ox ( -ox ) oxpath.oxsm1  
   (  -data 2300 -control 2200 )  
   oxpath.null  
   ( &)] cat system-csh  
 % (kterm -iconic -e /home/nobuki/kxx/ox -ox /home/nobuki/kxx/ox_sm1 -data 2300 -control 2200 &) system-csh  
 % For MSRI  
 %(xterm -icon -e /u/nobuki/tmp/kxx/ox -ox /u/nobuki/tmp/Ox/ox_sm1 -data 2300 -control 2200&) system-csh  
  (If you start the server automatically, you may have a trouble to) message  
  (oxreset. In order to avoid this trouble, start the server by hand.) message  
  (sleep 5) system-csh  
   [(localhost) 2300 2200] oxconnect /ox.ccc2 set  
  (The server is binded to the variable ox.ccc2) message  
 } def  
   
 /sm1connect4 {  
  %% test version.  
  /ox.ccc.portfile oxgenportfile def  
  [oxpath.oxlog.xterm   oxpath.ox ( -ox ) oxpath.oxsm1  
   ( -portfile ) ox.ccc.portfile  
   oxpath.null  
   ( &)] cat system-csh  
  (sleep 5) system-csh  
  [(oxReadPortFile) ox.ccc.portfile] extension /ox.ccc.control set  
  ox.ccc.control message  
  [(localhost) ox.ccc.control 1200] /ox.ccc set  
  (The server is binded to the variable ox.ccc) message  
  oxremoveportfile  
 } def  
   
 /oxpushcmo { oxsendcmo } def  /oxpushcmo { oxsendcmo } def
 /oxsendcmo {  /oxsendcmo {
   /arg1 set    /arg1 set
Line 212  ox.verbose { oxhelp } {  } ifelse
Line 153  ox.verbose { oxhelp } {  } ifelse
   [(oxReq) arg2 SM_DUMMY_sendcmo arg1] extension pop    [(oxReq) arg2 SM_DUMMY_sendcmo arg1] extension pop
 } def  } def
   
   /oxpushcmotag {
     /arg2 set
     [(oxReq) arg2 SM_pushCMOtag ] extension pop
   } def
   
 /oxpopcmo {  /oxpopcmo {
   /arg1 set    /arg1 set
   [(oxReq) arg1 SM_popCMO ] extension pop    [(oxReq) arg1 SM_popCMO ] extension pop
Line 259  ox.verbose { oxhelp } {  } ifelse
Line 205  ox.verbose { oxhelp } {  } ifelse
   ] pop    ] pop
   popVariables    popVariables
 } def  } def
 /oxsetmathcap.old {  
   /arg1 set  
   [(oxReq)  
     arg1   SM_setMathCap  
     [(mathcap-object)  
      [[199901160 (sm1)]  
       [2130706434 , 1 , 2 , 4 , 17 , 19 , 20 , 22 , 23 , 24 , 25 , 26 , 30 ]  
       %% mathcap for sm1.  
       %% [1 2 3 4 5]   %% for test.   cf. cmoCheckMathCap, Sm1_mathcap()  
      ]  
     ]  %% Never write a broken data here.  
   ] extension pop  
 } def  
 /oxpopcmo1 {  %% ask of the transmission.  /oxpopcmo1 {  %% ask of the transmission.
   /arg1 set    /arg1 set
   [(oxReq) arg1 SM_popCMO ] extension pop    [(oxReq) arg1 SM_popCMO ] extension pop
Line 329  ox.verbose { oxhelp } {  } ifelse
Line 263  ox.verbose { oxhelp } {  } ifelse
    } {  } ifelse     } {  } ifelse
   [(oxReq) arg2 SM_executeFunction arg1] extension pop    [(oxReq) arg2 SM_executeFunction arg1] extension pop
 } def  } def
   /oxexecWithOpt {
     /arg1 set
     /arg2 set
      ox.takelog { ox.log [(oxSerial)] extension ox.mod arg1 put
                   ox.log [(oxSerial)] extension 1 add ox.mod
                  (executeFunctionWithOptionalArgument) put
      } {  } ifelse
     [(oxReq) arg2 SM_executeFunctionWithOptionalArgument arg1] extension pop
   } def
   [(oxexecWithOpt)
    [
     $Example: $
     $oxsm1.ccc (/foo { message message message } def) oxsubmit ;$
     $oxsm1.ccc (hello) oxpushcmo oxsm1.ccc 1 oxpushcmo oxsm1.ccc [[(opt) 0]] oxpushcmo ;$
     $oxsm1.ccc (foo) oxexecWithOpt $
    ]
   ] putUsages
 /oxsubmit2 {  /oxsubmit2 {
   oxexec    oxexec
 } def  } def
Line 355  ox.verbose { oxhelp } {  } ifelse
Line 306  ox.verbose { oxhelp } {  } ifelse
 /oxreset {  /oxreset {
   /arg1 set    /arg1 set
   [(oxReq) arg1 SM_control_reset_connection] extension pop    [(oxReq) arg1 SM_control_reset_connection] extension pop
   [(oxGetFromControl) arg1 ] extension pop  %%  [(oxGetFromControl) arg1 ] extension pop
   [(oxGet) arg1] extension message    [(oxGet) arg1] extension message
 } def  } def
   
Line 398  ox.verbose { oxhelp } {  } ifelse
Line 349  ox.verbose { oxhelp } {  } ifelse
 }def  }def
   
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 /enginescmd  /ox_launch_nox {
   $ /computesp {    Xm_noX /ox_launch_nox.save set
        /arg1 set    oxNoX
        [arg1 myid] arg1 message    ox_launch_aux
     } def    /Xm_noX ox_launch_nox.save def
   $  } def
 def  /ox_launch {
     ox_launch_aux
   } def
   
   /ox_launch_aux {
    /arg1 set
    [/in-launch_nox /pass /peer /data /control /name /machine
     /your-peer /comm /remoteOpenXMbin /remoteServer /myhost
     /argNumber /aaa  /myssh
    ] pushVariables
    [
      /aaa arg1 def
      /argNumber aaa length def
      /machine aaa 0 get def
      machine (localhost) eq argNumber 5 lt and {
        aaa 1 get ox_launch_localhost /your-peer set
        /LLL.end goto
      } {
        /remoteServer aaa 1 get def
        /name aaa 2 get def
      } ifelse
   
 /genPairs {     /myssh [(which) (ssh)] oxshell def
   /arg1 set     myssh tag 0 eq {
   [/n /i /j] pushVariables       (ssh is not found.) error
   [     } { } ifelse
     /n arg1 def  
     /genPairs.list [  ] def  
     /genPairs.i 0 def  
     0 1 n 1 sub {  
       /i set  
       i 1 add 1 n 1 sub {  
          /j set  
          genPairs.list [i j] append /genPairs.list set  
       } for  
     } for  
     /genPairs.n genPairs.list length def  
   ] pop  
   popVariables  
 } def  
   
 /getPair {     [(gethostname)] extension /myhost set
   [/i ] pushVariables  
   [  
     genPairs.i genPairs.n lt {  
       genPairs.list genPairs.i get /ans set  
       genPairs.i 1 add /genPairs.i set  
     }  
     { [-1 -1] /ans set} ifelse  
     /arg1 ans def  
   ] pop  
   popVariables  
   arg1  
 } def  
   
 /sumUp {     /pass ox_encrypt_104_genPass def
   /arg1 set     /peer [(oxGetPort) myhost] extension def
   [/ans /v /i /n] pushVariables     /data peer 1 get toString def
   [     /control peer 3 get toString def
     /v arg1 def     peer message
     /n v length def     peer 0 get -1 eq {
     /ans 0 def       (Error in oxGetPort) error
     0 1 n 1 sub {     } { } ifelse
       /i set   [myssh ( -X -f ) machine ( -l ) name ( )
       ans v i get add /ans set      [
     } for       (ox100start ) % it must be on a path of the remote host
     /arg1 ans def       @@@.quiet { ( -quiet ) } {  } ifelse
    ] pop       Xm_noX { ( -nox ) } { } ifelse
    popVariables       ( -oxserver ) remoteServer ( -e )
    arg1       ( -reverse )
        ( -host ) myhost
        ( -data ) data ( -control ) control   pass [1 2] get
       ] cat
    ] cat /comm set
    (Executing the command : ) messagen comm message
     comm execve 0 lt {
       (Fork exec failed) error
     } { } ifelse
   % ipmask must be 1 to accept from a global address.
    [(oxCreateClient2) peer 1 , pass 0 get] extension /your-peer set
    /LLL.end
    /arg1 your-peer def
    ] pop
    popVariables
    arg1
 } def  } def
   
   [(ox_launch)
   [( [remote-machine remote-ox-server-name remote-login-name] )
    (  ox_launch  client )
    $or $
    $ [(localhost) ox-server-name] ox_launch client$
    (This command launches ox server via ssh.)
    (My hostname is set by the function gethostname.)
    (Example 1: )
    $ [(orange2-clone) $
    $  (bin/ox_sm1) (taka)$
    $ ] ox_launch /@@@.oxsm1 set $
   ]] putUsages
   
 /dist {  [(ox_launch_nox)
   /dist.debug 0 def  [( [remote-machine remote-ox-server-name remote-login-name] )
   /result [  ] def   (  ox_launch_nox  client )
   enginesList {oxconnect} map /engines set   (Example 1: )
   /enginesN engines length def   $ [(tau.math.kobe-u.ac.jp) $
   % broadcast the program.   $  (bin/ox_math) (taka) $
   (ox-1.sm1) pushfile /enginescmd set  %% read a file.   $ ] ox_launch_nox /@@@.oxmath set $
   [(parse) enginescmd] extension  ]] putUsages
   engines {enginescmd oxsubmit} map  
   engines { (slave-start) oxsubmit} map    %% initialize slave codes.  
                                            %% send pid.  
   0 1 enginesN 1 sub {  
     /i set  
     engines i get i oxsendcmo  
     engines i get (/myid set) oxsubmit  
   } for  
   
   master-start %% initialize master codes  /ox_launch_localhost {
   %% gbsize genPairs   %% obsolete   /arg1 set
   /gbsize ans length def   [/in-ox_launch_localhost /pass /peer /data /control /oxserver
   ans makePairs /genPairs.list set    /my-peer] pushVariables
   /genPairs.i 0 def  /genPairs.n genPairs.list length def   [
       /oxserver arg1 def
       /pass ox_encrypt_104_genPass def
       /peer [(oxGetPort) (localhost)] extension def
       /data peer 1 get toString def
       /control peer 3 get toString def
       peer message
       [
        oxstart100
        @@@.quiet { ( -quiet ) } {  } ifelse
        Xm_noX { ( -nox ) } { } ifelse
        ( -oxserver ) oxserver ( -e )
        ( -reverse )
        ( -data ) data ( -control ) control   pass [1 2] get
       ] cat execve
       [(oxCreateClient2) peer 0 pass 0 get] extension /my-peer set
                            %% 0 means connect from only localhost.
       /arg1 my-peer def
    ] pop
    popVariables
    arg1
   } def
   
   /exhausted 0 def  /oxrpc2 {
   % clear the busy flag.    /arg2 set
   /busy [1 1 enginesN { pop 0 } for ] def    /arg1 set
   (date) system-csh   [/in-oxrpc2 /pid /n /comm /i] pushVariables
   {{   [
   exhausted 0 eq {     /pid arg1 def
     0 1 enginesN 1 sub {     /comm arg2 def
       /i set     /n comm length def
       busy i get 0 eq {     n 1 sub -1 1 {
         getPair /p set         /i set
         p 0 get -1 eq {/exhausted 1 def exit} { } ifelse         pid comm i get oxsendcmo
         busy i 1 put     } for
         engines i get p oxsendcmo     pid n 1 sub oxsendcmo
         engines i get ( computesp ) oxsubmit     pid comm 0 get oxexec
         engines i get oxpopcmo1   ] pop
       } { } ifelse   popVariables
     } for  
   } {  } ifelse  
   dist.debug { (busy=) messagen busy message } { } ifelse  
   busy sumUp 0 eq { result message exit error  } {  } ifelse  
   [(oxMultiSelect) engines -1] extension /status set  
   /datastatus status 1 get def  
   dist.debug { (datastatus=) messagen datastatus message } { } ifelse  
   0 1 enginesN 1 sub {  
     /i set  
     datastatus i get 1 eq {  
       engines i get oxpopcmo2 /ans set  
       busy i 0 put  
       result ans append /result set  
     } { } ifelse  
   } for  
   } loop } timer  
   (date) system-csh  
   (result is in result) message  
   (Number of s-pairs checked is ) messagen result length message  
 } def  } def
   
 ox.verbose {  [(oxrpc2)
  (dist for experiments for distributed computing. cf. startengines) message    [(Remote procedure call by using oxexec)
 } { } ifelse     (client [function-name  arg1 arg2 ...] oxrpc2 )
      (cf. ox-cmo-rpc in Risa/Asir)
      (Example: )
      $ (oxasir.sm1) run (x^2-1). fctr $
      (oxasir.ccc [(igcd) (6).. (10)..] oxrpc2)
      (oxasir.ccc oxpopcmo :: )
     ]
   ] putUsages
   
 /oxIsServerReady {  /oxIsServerReady {
   /arg1 set    /arg1 set
Line 540  ox.verbose {  
Line 511  ox.verbose {  
   arg1    arg1
 } def  } def
   
   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   %%%  Functions to start server by OX-RFC-101
   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   /sm1StartControl101 {
    [/in-sm1connectr /pass /peer /data /control ] pushVariables
    [
    /pass ox_encrypt_104_genPass def
    /peer [(oxGetPort1) (localhost)] extension def
    /data peer 1 get toString def
    peer message
    [(/home/nobuki/OpenXM/src/oxc/oxc)
     ( -c ) pass ( -h ) (localhost) ( -p ) data ( -x )
     oxpath.null
     ( &)] cat system-csh
   
 %%%%%%%%%%%%%%%  tests   [(oxCreateControl_RFC_101) peer 0 pass] extension /oxsm1.ccc set
 ox.verbose {                       %% 0 means connect from only localhost.
   (test10 : test to read and write ox-data and ox-command to a file) message   /ox.ccc oxsm1.ccc def
 } {  } ifelse   (The server is binded to the variable oxsm1.ccc) message-quiet
     oxsm1.ccc
    ] pop
    popVariables
   } def
   
 /test10 {  /sm1StartEngine101 {
   [(oxCreateClientFile) (afo) (w)] extension /ccc set   [/in-sm1StartEngine101 /peer /data /control /engineID] pushVariables
   [(oxWatch) ccc] extension   [
   ccc (x-1). oxsendcmo      /peer [(oxGetPort1) (localhost)] extension def
   [(oxReq) ccc SM_executeStringByLocalParser      /data peer 1 get def
    ( dup add message )] extension pop  
   ccc (quit) oxsendcmo  
   
   [(oxCloseClient) ccc] extension      oxsm1.ccc data oxpushcmo
       oxsm1.ccc (/home/nobuki/OpenXM/bin/ox_sm1) oxpushcmo
       [(oxPushCMD) oxsm1.ccc SM_control_spawn_server] extension
       oxsm1.ccc oxpopcmo /engineID set
       [(oxCreateEngine_RFC_101) peer 0 (Empty) engineID] extension
       /ox.ddd set
       (The engine is binded to the variables ox.ddd) message-quiet
    ] pop
    popVariables
    arg1
 } def  } def
   
 /test11 {  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   [(oxCreateClientFile) (afo) (r)] extension /ccc set  %%% Functions for OX-RFC 103
   [(oxGet) ccc] extension ::  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   [(oxGet) ccc] extension ::  [(chattr) 0 /ctrlC-hook] extension
   /ctrlC-hook {
     ox103_reset
 } def  } def
   /ox103_disable {
     [(chattr) 0 /ctrlC-hook] extension
     /ctrlC-hook {  } def
   } def
   
 ox.verbose {  [(ox103_reset)
  (test12 : ccc is the client. ff poly in Q<x,y,z,dx,dy,dz>  ) message   [(ox103_reset broadcasts the OX reset to all processes)
 } { } ifelse    (cf. ctrlC-hook, register_hander)
 /test12 {  ]] putUsages
   [(localhost) 1300 1200] oxconnect /ccc set  /ox103_reset {
   [(x,y,z) ring_of_differential_operators ( ) elimination_order 0] define_ring    [/in-ox103_reset /L /n /i] pushVariables
   (x+y). /ff set    [
   /eee (hello) (error) dc def       /L [(oxGetClientList)] extension def
   /eee0 eee (error) dc def      (In ox103_reset...) message
   (eee is the CMO_ERROR2 object [CMO_ERROR2 hello], eee0 is the CMO_ERROR object) message      (killall in oxshell...) message [(killall)] oxshell pop
        /n L length def
        0 1 n 1 sub {
          /i set
          L i get oxreset
        } for
        (Done) message
     ] pop
     popVariables
 } def  } def
   
   %%%%%%%
   /ox103_asir_init {
     /arg1 set
     [/ttt] pushVariables
     [
       /ttt arg1 def
       %% ttt oxsetmathcap     ttt oxmathcap  %% It is done in asir.init
       %% Do nothing special for now.
     ] pop
     popVariables
   } def
   /ox103_sm1_init {
     /arg1 set
     [/ttt] pushVariables
     [
       /ttt arg1 def
       ttt oxsetmathcap
       ttt oxmathcap
       ttt ([(parse) (oxrfc103.sm1) pushfile] extension ) oxsubmit
     ] pop
     popVariables
   } def
   %%%
   
   /Xm_rfc103_shared [ ] def
   
   [(ox103_set_shared_variable)
    [(value name 2 ox103_set_shared_variable)
     (It broadcasts the <<value>> of a shared variable <<name>>)
     (to all processes.)
     (cf. Xm_rfc103_shared, )
     $Example:  (2).. (hoge) 2 ox103_set_shared_variable$
   ]] putUsages
   /ox103_set_shared_variable {
     /arg0 set  %% Dummy to be called by rpc2. Number of args
     /arg1 set  %% Name
     /arg2 set  %% Value,  [Name Value] not [Value Name]
     [/in-ox103_set_shared_variable /Name /Value
      /Found /N /i  /L
     ] pushVariables
     [
       /Name arg1 def
       /Value arg2 def
       Value message
       /Found 0 def
       /N  Xm_rfc103_shared length def
       0 1 N 1 sub {
         /i set
         Xm_rfc103_shared i get 0 get
         Name eq {
           Xm_rfc103_shared i [Name Value] put
           /Found 1 def
           exit
         } {  } ifelse
       } for
       Found 1 eq { }
       {
         Xm_rfc103_shared [Name Value] append
         /Xm_rfc103_shared set
       } ifelse
       /L [(oxGetClientList)] extension def
       0 1 L length 1 sub {
         /i set
         L i get [(ox103_set_shared_variable) Name Value] oxrpc2
       } for
   
       (ox103_set_shared_variable: Xm_rfc103_shared=) message
       Xm_rfc103_shared message
       %% [(parse) [(/) Name ( ) Value toString ( def )] cat] extension
       %% Add $ $ when Value is a string.
   
       /arg1 [Name Value] def
     ] pop
     popVariables
     arg1
   } def
   
   /ox103_test {
     (x^2-1). fctr
     oxasir.ccc ( sm1_start(); ) oxexecutestring
     sm1connectr
   } def
   
   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   %%%%%%%%   Starting ox_sm1.
   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 /sm1connectr {  /sm1connectr {
  [/in-sm1connectr /pass /peer /data /control ] pushVariables   [/in-sm1connectr /pass /peer /data /control ] pushVariables
  [   [
  /pass [(oxGenPass)] extension def     [(getServerEnv) (bin/ox_sm1)] extension tag 0 eq {
        (Server bin/ox_sm1 is not found.) error
      }{ } ifelse
    /pass ox_encrypt_104_genPass def
  /peer [(oxGetPort) (localhost)] extension def   /peer [(oxGetPort) (localhost)] extension def
  /data peer 1 get toString def   /data peer 1 get toString def
  /control peer 3 get toString def   /control peer 3 get toString def
  peer message   peer message-quiet
  [oxpath.oxlog.xterm  oxpath.ox ( -reverse -ox ) oxpath.oxsm1   [
   ( -data ) data ( -control ) control  ( -pass ) pass    oxstart100
   oxpath.null    @@@.quiet { ( -quiet ) } {  } ifelse
   ( &)] cat system-csh    Xm_noX { ( -nox ) } {  } ifelse
  [(oxCreateClient2) peer 0 pass] extension /ox.ccc set    Xm_engineLogToStdout { ( -nox -engineLogToStdout ) } { } ifelse %bug.onlyForsm1
     ( -oxserver bin/ox_sm1 -e ) ( -reverse )
     ( -data ) data ( -control ) control   pass [1 2] get
     ( )] cat execve
    [(oxCreateClient2) peer 0 pass 0 get] extension /oxsm1.ccc set
                      %% 0 means connect from only localhost.                       %% 0 means connect from only localhost.
  (The server is binded to the variable ox.ccc) message   (The server is binded to the variable oxsm1.ccc) message-quiet
   ox.ccc.init    /ox.ccc oxsm1.ccc def
     oxsm1.ccc.init
     oxsm1.ccc
  ] pop   ] pop
  popVariables   popVariables
 } def  } def
   
   /oxsm1.ccc.init {
      oxsm1.ccc ( [(oxPrintMessage) 0] extension pop ) oxsubmit
      Xm_noX { oxsm1.ccc ( /@@@.Xm_noX 1 def ) oxsubmit }
             { oxsm1.ccc ( /@@@.Xm_noX 0 def ) oxsubmit } ifelse
      (Ox103_loaded) boundp
      { oxsm1.ccc ox103_sm1_init }
      { }  ifelse
   } def
   
 /sm1connectr-ssh {  /sm1connectr-ssh {
   %% It has not yet implemented.
  /arg1 set   /arg1 set
  [/in-sm1connectr /pass /peer /data /control /name /machine   [/in-sm1connectr /pass /peer /data /control /name /machine
   /your-peer /comm    /your-peer /comm
Line 604  ox.verbose {
Line 719  ox.verbose {
  /machine arg1 0 get def   /machine arg1 0 get def
  /name arg1 1 get def   /name arg1 1 get def
   
  /pass [(oxGenPass)] extension def   /pass ox_encrypt_104_genPass def
  /peer [(oxGetPort) myhostname-ssh] extension def   /peer [(oxGetPort) myhostname-ssh] extension def
  /data peer 1 get toString def   /data peer 1 get toString def
  /control peer 3 get toString def   /control peer 3 get toString def
  peer message   peer message-quiet
  [(ssh -f ) machine ( -l ) name ( ")   [(ssh -f ) machine ( -l ) name ( ")
   oxpath.oxlog.xterm-ssh  oxpath.ox-ssh ( -reverse -ox ) oxpath.oxsm1-ssh    oxpath.oxlog.xterm-ssh  oxpath.ox-ssh ( -reverse -ox ) oxpath.oxsm1-ssh
   ( -host ) myhostname-ssh    ( -host ) myhostname-ssh
   ( -data ) data ( -control ) control  ( -pass ) pass    ( -data ) data ( -control ) control   pass [1 2] get
   oxpath.null    oxpath.null
   ( ")    ( ")
  ] cat /comm set   ] cat /comm set
  (Executing the command : ) messagen comm message message   (Executing the command : ) messagen comm message message
   comm system    comm system
  (sleep 5) system-csh   (sleep 5) system-csh
  [(oxCreateClient2) peer 1 pass] extension /your-peer set   [(oxCreateClient2) peer 1 pass 0 get] extension /your-peer set
  /arg1 your-peer def   /arg1 your-peer def
  ] pop   ] pop
  popVariables   popVariables
Line 651  ox.verbose {
Line 766  ox.verbose {
  $         [(dc2.math.kobe-u.ac.jp) (taka)] sm1connectr-ssh /ox.ccc set  $   $         [(dc2.math.kobe-u.ac.jp) (taka)] sm1connectr-ssh /ox.ccc set  $
 ]] putUsages  ]] putUsages
   
 /addSlash {  %%% ntl
   /ntlconnectr {
    [/in-ntlconnectr /pass /peer /data /control ] pushVariables
    [
      [(getServerEnv) (bin/ox_ntl)] extension tag 0 eq {
        (Server bin/ox_ntl is not found.) error
      }{ } ifelse
    /pass ox_encrypt_104_genPass def
    /peer [(oxGetPort) (localhost)] extension def
    /data peer 1 get toString def
    /control peer 3 get toString def
    peer message-quiet
    [
     oxstart100
     Xm_noX { ( -nox ) } {  } ifelse
     ( -oxserver bin/ox_ntl -e ) ( -reverse )
     ( -data ) data ( -control ) control   pass [1 2] get
     ( )] cat execve
    [(oxCreateClient2) peer 0 pass 0 get] extension /oxntl.ccc set
                        %% 0 means connect from only localhost.
    (The server is binded to the variable oxntl.ccc) message-quiet
   %  oxntl.ccc.init
      oxntl.ccc
    ] pop
    popVariables
   } def
   
   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   %%%   Aux functions for ox_asir
   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   /ox_asirConnectMethod { asirconnectr /oxasir.ccc set } def
   /oxasir.loadmethod 1 def   %% "..." oxsendcmo (load) ox...
   /oxasir.verbose 0   def
   /oxasir.ccc load isArray
   { }
   { /oxasir.ccc [ ] def } ifelse
   /loadAsirFile {
   /arg1 set    /arg1 set
   [/in-addSlash /ss /aaa /ans] pushVariables    [/in-loadAsirFile /peer /fname] pushVariables
   [    [
     /ss arg1 def      /peer arg1 0 get def
     ss (array) dc /aaa set      /fname arg1 1 get def
     aaa length 0 eq {      oxasir.loadmethod  {
       /ans (/) def        peer  fname oxsendcmo peer 1 oxsendcmo
         peer (load) oxexec
     }{      }{
       aaa aaa length 1 sub get  47  eq %% The last equals / ?        peer  [$load("$ fname $");$] cat oxsubmit
       {      }ifelse
         /ans ss def    ] pop
       }{    popVariables
         /ans [ss (/)] cat def  } def
       } ifelse  [(loadAsirFile)
   [$[client fname] loadAsirFile   (ox_asir function)$
    $Load a file into the client$
   ]] putUsages
   
   /set_oxasir.rr_path {
    [(ostype)] extension  0 get (windows) eq {
     [(getenv) (OSTYPE)] extension tag 0 eq {
        /oxasir.rr.name  (oxasir-win.rr) def
     }{
      [(getenv) (OSTYPE)] extension (cygwin) eq {
        /oxasir.rr.name  (oxasir.asir) def
      }{
        /oxasir.rr.name  (oxasir-win.rr) def
      } ifelse
     } ifelse
    }{
        /oxasir.rr.name  (oxasir.asir) def
    } ifelse
   } def
   set_oxasir.rr_path
   /oxasirpath.asirlib [[(getenv) (OpenXM_HOME)] extension
                         (/lib/sm1/) oxasir.rr.name] cat  def
   oxasir.verbose {
    oxasirpath.asirlib message
   } { } ifelse
   
   %% Note.  oxasir.asir is under OpenXM/src/kan96xx/lib/
   %%        oxasir-win.asir is generated under OpenXM/misc/packages/Windows
   %%       They are installed under $OpenXM_HOME/lib/sm1
   %%       Todo:  ox_asir has to understand /cygdrive/c/... on windows-native.
   %%              Since ox_asir is generated by cygwin, it will be OK.
   /asir.init {
    %% gr and primdec are loaded by .asirrc
    /asir.init.peer set
    [(ostype)] extension  0 get (windows) eq {
     [(getenv) (OSTYPE)] extension tag 0 eq {
       [asir.init.peer (oxasir-win.rr)] oxasirParseFile
     }{
      [(getenv) (OSTYPE)] extension (cygwin) eq {
        [asir.init.peer  oxasirpath.asirlib] loadAsirFile
      }{
        [asir.init.peer  (oxasir-win.rr)] oxasirParseFile
      } ifelse
     } ifelse
    }{
      [asir.init.peer  oxasirpath.asirlib] loadAsirFile
    } ifelse
    asir.init.peer oxmathcap
    asir.init.peer oxsetmathcap
    Xm_noX {
      asir.init.peer (Xm_noX=1;) oxsubmit
    }{
      asir.init.peer (Xm_noX=0;) oxsubmit
    } ifelse
    (Ox103_loaded) boundp
    {
      asir.init.peer ox103_asir_init
    }{  } ifelse
   } def
   
   [(asir)
    [(pid [asir-command, asir-arg1, asir-arg2, ...] asir result  (ox_asir function))
     (Call open asir server. You need to install ox_asir on your system)
     (to use this function. cf. primadec, fctr, asirconnect2, asirconnectr.)
     (If you interrupted the computation by typing ctrl-C, type in )
     (   oxasir.ccc oxreset  ; )
     (to interrupt the ox_asir server.)
     (NOTE: all asir-args must belong to the same ring. cf.oxasir.changeRing. )
     (Example: oxasir.ccc [(fctr) (x^10-1).] asir )
     (  )
     (This function requires plugins cmo, socket and ox_asir server. cf. oxasir)
     (See, http://www.math.kobe-u.ac.jp/Asir on asir)
    ]
   ] putUsages
   
   /asir {
     /arg2 set
     /arg1 set
     [/pid  /asir-comm /comm /n /i /rr] pushVariables
     [(CurrentRingp)] pushEnv
     [
        /pid arg1 def
        /asir-comm arg2 def
        pid tag 6 eq {  } { (Invalid pid. See asir.) error } ifelse
        pid 0 get (client) eq { } { (Invalid pid. See asir.) error } ifelse
        asir-comm tag 6 eq {  } { (Invalid argument asir-comm. See asir) error } ifelse
   
       [ %% Change the current ring if necessary to send a correct OxVlist.
         asir-comm oxasir.changeRing
       ] pop
       %%% Setting OxVlist to tell asir a way to change dist-poly <==> poly.
       (OxVlist=) getVlist2 toString (;) 3 cat_n /comm set
        %% comm message
        pid comm oxsubmit
        pid (print(OxVlist);) oxsubmit
   
   
        /n asir-comm length def
        n 1 sub -1 1 {
          /i set
          pid asir-comm i get oxsendcmo
          pid 1 oxsendcmo pid (ox_dtop) oxexec
        } for
        pid n 1 sub oxsendcmo
        pid asir-comm 0 get oxexec
   
        pid 1 oxsendcmo pid (ox_ptod) oxexec
        pid oxpopcmo /arg1 set
   
   
     ] pop
     popEnv
     popVariables
     arg1
   } def
   
   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   %%% Mathematical functions for asir
   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   /oxasir.changeRing {
     /oxasir.changeRing.rr.prev 0 def
     oxasir.changeRing2
   } def
   /oxasir.changeRing2 {
     /arg1 set
     [/in-oxasir.changeRing2 /f /rr ] pushVariables
     [
        /f arg1 def
        f isArray {
          f {oxasir.changeRing2} map
        }{
          f isPolynomial {
            f (0). eq { }
            { f (ring) dc /rr set [(CurrentRingp) rr] system_variable
              oxasir.changeRing.rr.prev tag 1 eq { }
              {
                 oxasir.changeRing.rr.prev rr eq  {  }
                 {  (asir : arguments must belong to the same ring.) error } ifelse
              } ifelse
              /oxasir.changeRing.rr.prev rr def
            } ifelse
          } {  } ifelse
        } ifelse
     ] pop
     popVariables
   } def
   
   /fctr {
     /arg1 set
     [/f /comm /vv] pushVariables
     [(CurrentRingp)] pushEnv
     [
       /f arg1 def
       oxasir.ccc [ ] eq {
          (Starting ox_asir server.) message
           ox_asirConnectMethod
       } {  } ifelse
   
       f isPolynomial not {
         /vv f 1 get def
         vv isArray { /vv vv from_records  def } {  } ifelse
         /f f 0 get def
         [vv ring_of_polynomials 0] define_ring
         f . /f set
       }{ } ifelse
       oxasir.ccc [(fctr) f] asir /arg1 set
     ] pop
     popEnv
     popVariables
     arg1
   } def
   
   [(fctr)
    [(You need to install ox_asir server to use this function. (ox_asir function))
     (f fctr g)
     (poly f; array g;)
     ([f v] fctr g ;  string f, string or array of string v)
     (This function factors the polynomial f over Q.)
     ( )
     (Example 1:  [(x^10-y^10) (x,y)] fctr ::)
     (Example 2:  (x^10-1). fctr ::)
     ( )
     (If you interrupted the computation by typing ctrl-C, type in )
     (   oxasir.ccc oxreset  ; )
     (to interrupt the ox_asir server.)
     (  )
     (This function requires plugins cmo, socket and ox_asir server. cf.oxasir)
   ]] putUsages
   
   
   [(primadec)
    [(You need to install ox_asir server to use this function. (ox_asir function))
     ([ ii ] primadec [[q1 p1] [q2 p2] ... ] )
     ( array of poly ii; array of poly q1, p1, q2, p2 ...;)
     ( q1, q2, ... are primary components of the primary ideal decomposition)
     ( of the ideal generated by << ii >>.)
     (  )
     ([ ii v ] primadec [[q1 p1] [q2 p2] ... ] )
     ( array of poly or string ii; array of string v; array of poly q1, p1, q2, p2 ...;)
     (<< v >> is an array of independent variables.)
     (  )
     ([ ii v ] primadec [[q1 p1] [q2 p2] ... ] )
     ( array of poly or string ii; array of string v; array of poly q1, p1, q2, p2 ...;)
     ( v  is a string of variables separated by , )
     (  )
     (Example:  [(x,y) ring_of_polynomials 0] define_ring)
     (          [ [(x^2-1). (x y).] ] primadec pmat ;)
     (  )
     (Example:  [ [(x^2-1) (x y)] [(x) (y)]] primadec pmat ;)
     (  )
     (If you interrupted the computation by typing ctrl-C, type in )
     (   oxasir.ccc oxreset  ; )
     (to interrupt the ox_asir server.)
     (  )
     (This function requires plugins cmo, socket and ox_asir server. cf.oxasir)
   ]] putUsages
   
   /primadec {
     /arg1 set
     [/in-primadec /aa /f  /comm /vvv /r /setarg] pushVariables
     [(CurrentRingp)] pushEnv
     [
       /aa arg1 def
       aa isArray { } { (<<array>> primadec) error } ifelse
       /setarg 0 def
       oxasir.ccc [ ] eq {
          (Starting ox_asir server.) message
           ox_asirConnectMethod
       } {  } ifelse
       aa { tag } map /typev set
       typev [ ArrayP ] eq
       {  /f aa 0 get def
          f 0 get (ring) dc /r set
          [(CurrentRingp) r] system_variable
          /vvv getVariableNames def
          /setarg 1 def
       } { } ifelse
       typev [ArrayP StringP] eq
       {  /f aa 0 get def
          /vvv [ aa 1 get to_records pop ] def
          /setarg 1 def
       } { } ifelse
       typev [ArrayP ArrayP] eq
       {  /f aa 0 get def
          /vvv aa 1 get {toString} map def
          /setarg 1 def
       } { } ifelse
       setarg { } { (primadec : Argument mismatch) error } ifelse
   
       f 0 get isPolynomial {
         /r f 0 get (ring) dc def
         /vvv vvv { r __ } map def
       }
       {
         [vvv from_records ring_of_polynomials 0] define_ring
         f { toString . } map /f set
         vvv { . } map /vvv set
     } ifelse      } ifelse
     /arg1 ans def      oxasir.ccc [(primadec) f vvv] asir /arg1 set
   ] pop    ] pop
   arg1    popEnv
     popVariables
     arg1
 } def  } def
   
 /getPathNameSm1 {  
   /getVlist2 {
     [/n  /i ] pushVariables
     [
       /n [(N)] system_variable def
       [
         0 1 n 1 sub { /i set (x) i (dollar) dc 2 cat_n } for
         0 1 n 1 sub { /i set (d) i (dollar) dc 2 cat_n } for
       ] /arg1 set
     ] pop
     popVariables
     arg1
   } def
   
   %%%%%%%%%%%%%%%%%%%
   /getVlist {
     [/n  /i ] pushVariables
     [
       /n [(N)] system_variable def
       [
         0 1 n 1 sub { /i set [(x) (var) i] system_variable } for
         0 1 n 1 sub { /i set [(D) (var) i] system_variable } for
       ] /arg1 set
     ] pop
     popVariables
     arg1
   } def
   
   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   /polygcd {
   /arg1 set    /arg1 set
   [/in-getPathNameSm1 /fname /fullname /tname] pushVariables    [/pp /f /g /comm /vv] pushVariables
     [(CurrentRingp)] pushEnv
   [    [
      /fname arg1 0 get def      /pp arg1 def
      %% If fullname is given, use it.      oxasir.ccc [ ] eq {
      fname (array) dc 0 get         (Starting ox_asir server.) message
      (/) (array) dc 0 get eq          ox_asirConnectMethod
      {  /fullname fname def      } {  } ifelse
         /getPathNameSm1.LLL goto  
      } { } ifelse  
   
      %% Else first try to find it in LOAD_SM1_PATH      pp isArray {
      [(getenv) (LOAD_SM1_PATH)] extension /tname set        /f pp 0 get def
      tname isString        /g pp 1 get def
      {        pp length 3 eq {
        tname addSlash /tname set          /vv pp 2 get def
        [(stat) [tname fname] cat] extension          vv isArray { /vv vv from_records  def } {  } ifelse
        0 get isInteger  %% The file was found.          [vv ring_of_polynomials 0] define_ring
        {  /fullname [tname fname] cat def          f . /f set
           /getPathNameSm1.LLL goto          g . /g set
        } { } ifelse        } { } ifelse
      } {  } ifelse      }{ (usage: [f g] polygcd) error } ifelse
       oxasir.ccc [(gcd) f g] asir /arg1 set
     ] pop
     popEnv
     popVariables
     arg1
   } def
   [(polygcd)
    [( [f g] polygcd r )
     ( [f g v] polygcd r)
     (Example: [(x^2-1) (x-1) [(x)]] polygcd )
    ]
   ] putUsages
   /polylcm {
     /arg1 set
     [/pp /f /g /comm /vv] pushVariables
     [(CurrentRingp)] pushEnv
     [
       /pp arg1 def
       oxasir.ccc [ ] eq {
          (Starting ox_asir server.) message
           ox_asirConnectMethod
       } {  } ifelse
   
      %% Else first try to find it in OpenXM_HOME      pp isArray {
      [(getenv) (OpenXM_HOME)] extension /tname set        /f pp 0 get def
      tname isString        /g pp 1 get def
      {        pp length 3 eq {
        tname addSlash /tname set          /vv pp 2 get def
        [tname (lib/sm1/)] cat /tname set          vv isArray { /vv vv from_records  def } {  } ifelse
        [(stat) [tname fname] cat] extension          [vv ring_of_polynomials 0] define_ring
        0 get isInteger  %% The file was found.          f . /f set
        {  /fullname [tname fname] cat def          g . /g set
           /getPathNameSm1.LLL goto        } { } ifelse
        } { } ifelse      }{ (usage: [f g] polylcm) error } ifelse
       oxasir.ccc [(lcm) f g] asir /arg1 set
     ] pop
     popEnv
     popVariables
     arg1
   } def
   [(polylcm)
    [( [f g] polylcm r )
     ( [f g v] polylcm r)
     (Example: [(x^2-1) (x-1) [(x)]] polylcm )
    ]
   ] putUsages
   
   /asir_red {
     /arg1 set
     [/pp /f /g /rr /vv] pushVariables
     [(CurrentRingp)] pushEnv
     [
       /pp arg1 def
       oxasir.ccc [ ] eq {
          (Starting ox_asir server.) message
           ox_asirConnectMethod
       } {  } ifelse
       {
        pp isRational {
         /f pp numerator def
         /g pp denominator def
         [[f g]] reduceByAsir /rr set
        }{ } ifelse
        exit
   
        pp isArray {
          /vv pp 2 get def
          /f pp 0 get 0 get def
          /g pp 0 get 1 get def
          [[f toString g toString] vv] reduceByAsir /rr set
      } {  } ifelse       } {  } ifelse
        exit
   
      %% Else try to find it in /usr/local/lib/sm1       (asir_red: not implemented) error exit
      [(stat) [(/usr/local/lib/sm1/) fname] cat] extension      } loop
      0 get isInteger  %% The file was found.  
      {  /fullname [(/usr/local/lib/sm1/) fname] cat def  
         /getPathNameSm1.LLL goto  
      } { } ifelse  
   
      %% Otherwise error.      rr 1 get isPolynomial {
        [(getPathNameSm1: The file ) fname        rr 0 get rr 1 get div /rr set
         ( could not be found )      }{
         (neigher in LOAD\_SM1\_PATH=)        rr 1 get (1).. eq {
         [(getenv) (LOAD_SM1_PATH)] extension           rr 0 get /rr set
         ( nor in OpenXM\_HOME/lib/sm1=)        }{
         [(getenv) (OpenXM_HOME)] extension           rr 0 get rr 1 get div /rr set
         (/lib/sm1)        } ifelse
         ( nor in /usr/local/lib/sm1)      } ifelse
        ] cat /getPathNameSm1.errorMessage set  
        getPathNameSm1.errorMessage message  
      ] pop popVariables getPathNameSm1.errorMessage error  
   
      /getPathNameSm1.LLL      /arg1 rr def
      /arg1 fullname def  
   ] pop    ] pop
     popEnv
   popVariables    popVariables
   arg1    arg1
 } def  } def
 [(getPathNameSm1)  [(asir_red)
 [([fname] getPathNameSm1 fullname)   [(Calling the function red of asir. It simplifies a rational function.)
  (string fname, fullname)    (cf. cancel)
  (This command searches the fname in LOAD_SM1_PATH, )    (Example:  (x^2). (x). div asir_red )
  (OpenXM_HOME/lib/sm1, and /usr/local/lib/sm1)  
  (It returns the fullname.)  
 ]] putUsages  ]] putUsages
   
 /getPathNameAsir {  /asir_fctr { fctr } def
   [(asir_fctr)
    [(Calling the factorizer of asir.)
   ]] putUsages
   
   /asir_primadec { primadec } def
   [(asir_primadec)
    [(Calling the primadec of asir.)
   ]] putUsages
   
   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   [(chattr) 0 /findIntegralRoots] extension pop
   /findIntegralRoots {
     /arg1 set
     [/in-findIntegralRoots /pp ] pushVariables
     [
       /pp arg1 def
       oxasir.ccc [ ] eq {
         (Starting ox_asir server.) message
          ox_asirConnectMethod
       } {  } ifelse
       oxasir.ccc oxIsServerReady
       { pp findIntegralRoots.oxasir /arg1 set}
       { pp findIntegralRoots.slow /arg1 set} ifelse
     ] pop
     popVariables
     arg1
   } def
   
   /findIntegralRoots.oxasir {
   /arg1 set    /arg1 set
   [/in-getPathNameAsir /fname /fullname /tname] pushVariables    [/in-findIntegralRoots /f /r /g /aa /rlist] pushVariables
     [(CurrentRingp) (KanGBmessage)] pushEnv
   [    [
      /fname arg1 0 get def      /f arg1 def
      %% If fullname is given, use it.      [(s) ring_of_polynomials 0] define_ring
      fname (array) dc 0 get      f toString . /f set
      (/) (array) dc 0 get eq      f fctr rest /g set
      {  /fullname fname def      g {
         /getPathNameAsir.LLL goto           0 get /aa set
      } { } ifelse           aa (s). degree 1 eq {
              aa (s). coeff 1 get /aa set
              aa length 1 eq { 0 }
              {  aa 0 get (1). eq {
                    0 << aa 1 get (integer) dc >> sub
                 } { } ifelse
              } ifelse
            }{ } ifelse
        } map
       /rlist set
       %% rlist ::
       [-1000000] rlist join shell rest /arg1 set
     ] pop
     popEnv
     popVariables
     arg1
   } def
   
      %% Else try to find it in ASIR_LIBDIR  %%%%%%%%%%%%%   From gbhg3/Int/intw.sm1
      [(getenv) (ASIR_LIBDIR)] extension /tname set  %% This function needs solv1.asir and ox_asir.
      tname isString  %% See solv1.asir for the usage of this function.
      {  /rationalRoots2 {
        [(stat) [tname (/) fname] cat] extension    /arg1 set
        0 get isInteger  %% The file was found.    [/in-rationalRoots2 /aa /f  /comm /vvv /r /setarg
        {  /fullname [tname (/) fname] cat def     /w /ans
           /getPathNameAsir.LLL goto    ] pushVariables
        } { } ifelse    [(CurrentRingp) (KanGBmessage)] pushEnv
     [
       /aa arg1 def
       aa isArray { } { (<<array>> rationalRoots2) error } ifelse
       /setarg 0 def
       oxasir.ccc [ ] eq {
          (Starting ox_asir server.) message
           ox_asirConnectMethod
       } {  } ifelse
       aa { tag } map /typev set
       typev [ArrayP StringP ArrayP] eq
       {  /f aa 0 get def
          /vvv [ aa 1 get to_records pop ] def
          /w aa 2 get def
          /setarg 1 def
       } { } ifelse
       typev [ArrayP ArrayP ArrayP] eq
       {  /f aa 0 get def
          /vvv aa 1 get {toString} map def
          /setarg 1 def
          /w aa 2 get def
       } { } ifelse
       setarg { } { (rationalRoots2 : Argument mismatch) error } ifelse
   
   
       [vvv from_records ring_of_polynomials 0] define_ring
       f { toString . } map /f set
       vvv { . } map /vvv set
       w { toString . } map /w set
   
       (rationalRoots2 -- f = ) messagen f messagen
       ( , vvv= ) messagen vvv messagen ( , w = ) messagen w message
   
       vvv length 1 eq w 0 get (1). eq and
       {
          [(KanGBmessage) 0] system_variable
          [f] groebner_sugar 0 get /f set
          vvv 0 get toString (s) eq {
          }{ [[vvv 0 get toString (s)] from_records ring_of_polynomials 0] define_ring}
          ifelse
          f 0 get toString . [[vvv 0 get toString . (s).]] replace
          findIntegralRoots /ans set
       }
       {
         oxasir.ccc [(sm1_rationalRoots2) f vvv w] asir
         {(integer) dc} map
         /ans set
       } ifelse
   
       /arg1 ans def
     ] pop
     popEnv
     popVariables
     arg1
   } def
   [(rationalRoots2)
   [(rationalRoots2  (ox_asir function) called from intw.sm1 to analyze integral)
    (roots.)
   ]] putUsages
   
   /ptozp_subst  {
     /arg1 set
     [/in-ptozp_subst /aaa /fff /xxx /vvv /vlist] pushVariables
     [(CurrentRingp)] pushEnv
     [
        /aaa arg1 def
        /fff aaa 0 get def
        /xxx aaa 1 get toString def
        /vvv aaa 2 get {toString ..} map def
        aaa length 4 eq {
          /vlist aaa 3 get def
        } {
          /vlist 0 def
        } ifelse
        oxasir.ccc [ ] eq {
           (Starting ox_asir server.) message
           ox_asirConnectMethod
      } {  } ifelse       } {  } ifelse
        fff isPolynomial {
      %% Else try to find it in /usr/local/lib/asir         fff (ring) dc ring_def
      [(stat) [(/usr/local/lib/asir/) fname] cat] extension         fff toString /fff set
      0 get isInteger  %% The file was found.       }
      {  /fullname [(/usr/local/lib/asir/) fname] cat def       { vlist isInteger { (ptozp_subst: need variable names.) error } {  } ifelse
         /getPathNameAsir.LLL goto         [vlist ring_of_differential_operators 0] define_ring
      } { } ifelse       } ifelse
        oxasir.ccc [(sm1_ptozp_subst) fff . xxx .  vvv] asir
        /arg1 set
     ] pop
     popEnv
     popVariables
     arg1
   } def
   
      %% Otherwise error.  [(ptozp_subst)
        [ (getPathNameAsir: The file )   [$[f  s  [p q] v] ptozp_subst g   (ox_asir function)$
           fname  (ox_asir) eq    $It returns ptozp(subst(f,s,p/q))$
           {(ox\_asir)} { fname }ifelse    $Example 1:  [ (x Dx - s) (s) [2 3] (x,s)] ptozp_subst $
        ( could not be found )    $   ===>     3 x Dx - 2 $
        (neigher in /usr/local/lib/asir nor in ASIR\_LIBDIR. )  ]] putUsages
        ] cat /getPathNameAsir.errorMessage set  
        getPathNameAsir.errorMessage message  
      ] pop popVariables getPathNameAsir.errorMessage error  
   
      /getPathNameAsir.LLL  /reduceByAsir  {
      /arg1 fullname def    /arg1 set
     [/in-reduceByAsir /aaa /fff /fff0 /fff1 /vlist] pushVariables
     [(CurrentRingp)] pushEnv
     [
        /aaa arg1 def
        /fff aaa 0 get def
        aaa length 2 eq {
          /vlist aaa 1 get def
        } {
          /vlist 0 def
        } ifelse
        oxasir.ccc [ ] eq {
           (Starting ox_asir server.) message
           ox_asirConnectMethod
        } {  } ifelse
        fff isArray {
          fff length 2 eq {
            /fff0 fff 0 get def
            /fff1 fff 1 get def
          } {
            ([ << [f g] >> vlist ] reduceByAsir ) error
          } ifelse
        } {
          ([ << [f g] >> vlist ] reduceByAsir ) error
        } ifelse
        fff0 isPolynomial fff1 isPolynomial and {
          fff0 (ring) dc ring_def
          fff0 toString . /fff0 set
          fff1 (ring) dc ring_def
          fff1 toString . /fff1 set
        }
        { vlist isInteger { (reduceByAsir: need variable names.) error } {  } ifelse
          [vlist ring_of_differential_operators 0] define_ring
          fff0 toString . /fff0 set
          fff1 toString . /fff1 set
        } ifelse
        oxasir.ccc [(sm1_rat2plist2) [fff0 fff1]] asir
        /arg1 set
   ] pop    ] pop
     popEnv
   popVariables    popVariables
   arg1    arg1
 } def  } def
 [(getPathNameAsir)  
 [([fname] getPathNameAsir fullname)  [(reduceByAsir)
  (string fname, fullname)  [$ [[f g] v] reduceByAsir [ff gg]   (ox_asir function)$
  (This command searches the fname in /usr/local/lib/asir and ASIR_LIBDIR)   $ [[f g]] reduceByAsir [ff gg]  $
  (and returns the fullname.)   $Example 1: [[(2 x -2) (4 x - 8)] (x)] reduceByAsir $
    (Note that there may be a gcd that is more than 1 among the coefficients.)
 ]] putUsages  ]] putUsages
   
   %% File should be preprocessed by OpenXM/misc/packages/Windows/oxpp
   %% and ./oxapp --removeSharp
   [(oxasirParseFile)
   [$[peer filename] oxasirParseFile $
    $File should be preprocessed by OpenXM/misc/packages/Windows/oxpp$
    $and ./oxapp --removeSharp $
   ]] putUsages
   
 /ox_launch_nox {  /oxasirParseFile {
   /@@@.ox_launch_nox  1 def    /arg1 set
   ox_launch_aux    [/in-oxasirParseFile /fname /sss] pushVariables
     [
       /fname arg1 1 get def
       /peer  arg1 0 get def
       fname pushfile /sss set
       peer
       [$if (1) { ; $ sss (}$)] cat
       oxsubmit
     ] pop
     popVariables
 } def  } def
 /ox_launch {  
   /@@@.ox_launch_nox  0 def  [(bfct)
   ox_launch_aux   [
     ( f bfct b )
     ( poly f; poly b)
     ([f v] bfct b)
     ( string f )
     ( b is the global b-function of the polynomial f.)
     (Example: [(x^3-y^2) (x,y)] bfct fctr :: )
     (Algorithm: M.Noro, Mathematical Software, icms 2002, pp.147--157.)
     (  )
     (If you interrupted the computation by typing ctrl-C, type in )
     (   oxasir.ccc oxreset  ; )
     (to interrupt the ox_asir server.)
     (  )
     (This function requires plugins cmo, socket and ox_asir server. cf.oxasir)
     (You need to install ox_asir server to use this function. (ox_asir function))
   ]] putUsages
   
   /bfct {
     /arg1 set
     [/in-bfct /f /comm /vv] pushVariables
     [(CurrentRingp)] pushEnv
     [
       /f arg1 def
       oxasir.ccc [ ] eq {
          (Starting ox_asir server.) message
           ox_asirConnectMethod
       } {  } ifelse
   
       f isPolynomial not {
         /vv f 1 get def
         vv isArray { /vv vv from_records  def } {  } ifelse
         /f f 0 get def
         [vv ring_of_polynomials 0] define_ring
         f . /f set
       }{ } ifelse
       oxasir.ccc [(oxasir_bfct) f] asir /f set
       [(s) ring_of_polynomials 0] define_ring
       f . /f set
       [f f fctr] /arg1 set
     ] pop
     popEnv
     popVariables
     arg1
 } def  } def
   
 /ox_launch_aux {  [(generic_bfct)
  /arg1 set  
  [/in-launch_nox /pass /peer /data /control /name /machine  
   /your-peer /comm /remoteOpenXMbin /remoteServer /myhost  
  ] pushVariables  
  [   [
    /machine arg1 0 get def    ( [ii weight] generic_bfct b )
    /remoteOpenXMbin arg1 1 get def    ( list of poly ii; list weight)
    /remoteServer arg1 2 get def    ([ii weight variables] generic_bfct b)
    /name arg1 3 get def    ( list of string ii; list weight; list variables)
    /myhost arg1 4 get def    ( b is the general b-function of the ideal ii w.r.t the weight.)
     (Example: [[(Dx^2) (Dy^2)] [(x) -1 (Dx) 1] [(x) (y)]] generic_bfct :: )
     (Notion: Saito, Sturmfels, Takayama, Grobner deformations of hypergeometric differential equaitons)
     (Algorithm:  M.Noro, Mathematical Software, icms 2002, pp.147--157.)
     (  )
     (If you interrupted the computation by typing ctrl-C, type in )
     (   oxasir.ccc oxreset  ; )
     (to interrupt the ox_asir server.)
     (  )
     (This function requires plugins cmo, socket and ox_asir server. cf.oxasir)
     (You need to install ox_asir server to use this function. (ox_asir function))
   ]] putUsages
   
    /pass [(oxGenPass)] extension def  /generic_bfct {
    /peer [(oxGetPort) myhost] extension def    /arg1 set
    /data peer 1 get toString def    [/in-generic_bfct /aa /f  /comm /vvv0 /n /vvv /ddd /r /setarg
    /control peer 3 get toString def     /bf /wt ] pushVariables
    peer message    [(CurrentRingp)] pushEnv
  [(ssh -f ) machine ( -l ) name ( ")    [
       /aa arg1 def
       aa isArray { } { (<<array>> generic_bfct) error } ifelse
       /setarg 0 def
       aa { tag } map /typev set
       typev [ ArrayP ArrayP] eq
       {  /f aa 0 get def
          f 0 tag PolyP { } {  (The first argument must be a list of differential operators. Give the third variable: a list of variables) error } ifelse
          f 0 get (ring) dc /r set
          [(CurrentRingp) r] system_variable
          /wt aa 1 get def
   
    @@@.ox_launch_nox {         /vvv0 getVariableNames def
    } {         /n [(N)] system_variable def
      remoteOpenXMbin(/oxlog )         /vvv vvv0 n carN rest reverse rest reverse def
      ( /usr/X11R6/bin/xterm -icon -e )         /ddd vvv0 reverse n carN reverse
    } ifelse                     rest reverse rest reverse def
   
   ( ) remoteOpenXMbin (/ox )         /wt wt generic_bfct.aux1 def
   ( -reverse -ox ) remoteServer  
   ( -host ) myhost         /setarg 1 def
   ( -data ) data ( -control ) control  ( -pass ) pass      } { } ifelse
   oxpath.null      typev [ArrayP ArrayP StringP] eq
   ( ")      {  /f aa 0 get def
  ] cat /comm set         /vvv [ aa 2 get to_records pop ] def
  (Executing the command : ) messagen comm message message         /wt aa 1 get def
   comm system  
  (sleep 5) system-csh         /n vvv length def
  [(oxCreateClient2) peer 1 pass] extension /your-peer set         /ddd vvv { (D) 2 1 roll 2 cat_n } map def
  /arg1 your-peer def  
          /setarg 1 def
       } { } ifelse
       typev [ArrayP ArrayP ArrayP] eq
       {  /f aa 0 get def
          /vvv aa 2 get {toString} map def
          /wt aa 1 get def
   
          /n vvv length def
          /ddd vvv { (D) 2 1 roll 2 cat_n } map def
   
          /setarg 1 def
       } { } ifelse
       setarg { } { (generic_bfct : Argument mismatch) error } ifelse
   
       f 0 get isPolynomial {
   
       }
       {
         [vvv from_records ring_of_differential_operators 0] define_ring
         f { toString . } map /f set
         vvv { . } map /vvv set
         ddd { . } map /ddd set
         /wt [vvv ddd wt] generic_bfct.aux1 def
       } ifelse
       [f vvv ddd wt] message
   
       oxasir.ccc [ ] eq {
          (Starting ox_asir server.) message
           ox_asirConnectMethod
       } {  } ifelse
   
       oxasir.ccc [(oxasir_generic_bfct) f vvv ddd wt] asir /bf set
       [(s) ring_of_polynomials 0] define_ring
       bf . /bf set
       [bf bf fctr] /arg1 set
     ] pop
     popEnv
     popVariables
     arg1
   } def
   
   /generic_bfct.aux1 {
     /arg1 set
     [/in-generic_bfct.aux1 /ii /jj /wt /wtx /wtd /vv /dd /n]  pushVariables
     [
       arg1 2 get /wt set
       arg1 0 get /vv set
       arg1 1 get /dd set
       /wtx [ 0 1 vv length 1 sub { pop (0).. } for ] def
       /n wt length def
       0 2 n 1 sub {
         /ii set
         0 1 vv length 1 sub {
           /jj set
           wt ii get toString dd jj get toString eq {
             wtx jj << wt ii 1 add get >> put
           } {  } ifelse
         } for
       } for
   
       wtx /wt set
       wt { dup tag IntegerP eq { (universalNumber) dc } {    } ifelse } map /wt set
       wt /arg1 set
     ] pop
     popVariables
     arg1
   } def
   /verbose.wgr  1 def
   %[ ff vv ww ] asir.wgb [gb  init]
   /asir.wgr {
     /arg1 set
     [/in-asir.gb  /ff /vv /ww /vvx /vvd /avv /comm /wvec /i] pushVariables
     [
       /ff arg1 0 get def
       /vv arg1 1 get def
       /ww arg1 2 get def
   
       oxasir.ccc [ ] eq {
          (Starting ox_asir server.) message
           ox_asirConnectMethod
       } {  } ifelse
   
       vv isArray {
         vv from_records /vv set
       } {  } ifelse
       oxasir.ccc [(dp_gr_print) (2)..] asir
       [vv to_records pop] /vvx set
       vvx { toString (D) 2 1 roll 2 cat_n  } map /vvd set
   
       [
         0 1 vvx length 1 sub {
           /i set
          vvx i get
          0 ww i get  sub
          vvd i get
          ww i get
         } for
        ] /wvec set
   
       [vv ring_of_differential_operators
        [wvec] weight_vector
       0] define_ring
   
       ff { toString . dehomogenize homogenize } map /ff set
       vvx { . } map /vvx set %%ex  [x,y]
       vvd { . } map /vvd set %%ex  [Dx,Dy]
       vvx vvd join [(h).] join /avv set
   
       verbose.wgr {
       (Asir (-w,w) gb in the Weyl algebra) message
       (wvec=) messagen wvec message
       (ff=) messagen ff message
       (avv=) messagen avv message
       } {  } ifelse
   
       [$dp_weyl_set_weight(newvect($  ww length toString $,$
        ww toString $));$ ] cat /comm set
   
       verbose.wgr {
         comm message
       } { } ifelse
   
       oxasir.ccc comm oxsubmit ;
   
       oxasir.ccc [(dp_weyl_gr_main) ff avv (0).. (1).. (11)..] asir
       /arg1 set
     ] pop
     popVariables
     arg1
   } def
   [(asir.wgr)
   [([ ff vv ww ] asir.wgr g)
    $It computes the (-ww,ww) Grobner basis of ff in the homogenized Weyl algebra.$
    (Homogenization is automatically done.)
    $Example 1: $
    $ [ [(x*Dx+y*Dy-1)  (Dx*Dy)] $
    $   (x,y)  $
    $   [1 2 ] ] asir.wgr   $
   ]] putUsages
   
   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   %%% functions to start ox_asir
   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   /asirconnectr {
    [/in-asirconnectr /pass /peer /data /control /oxasir] pushVariables
    [
      [(getServerEnv) (bin/ox_asir)] extension tag 0 eq {
        (Server bin/ox_sm1 is not found.) error
      }{ } ifelse
   
    /pass ox_encrypt_104_genPass def
    /peer [(oxGetPort) (localhost)] extension def
    /data peer 1 get toString def
    /control peer 3 get toString def
    peer message-quiet
    [
     oxstart100
     @@@.quiet { ( -quiet ) } {  } ifelse
     Xm_noX { ( -nox ) } {  } ifelse
     Xm_engineLogToStdout { ( -nox -engineLogToStdout ) } { } ifelse %bug.onlyForasir
     ( -oxserver bin/ox_asir -e ) ( -reverse )
     ( -data ) data ( -control ) control   pass [1 2] get
     ( )] cat execve
    [(oxCreateClient2) peer 0 pass 0 get] extension /oxasir.ccc set
                        %% 0 means connect from only localhost.
    oxasir.ccc asir.init
    /arg1 oxasir.ccc def
  ] pop   ] pop
  popVariables   popVariables
  arg1   arg1
 } def  } def
   
 [(ox_launch)  [(asirconnectr)
 [( [remote remote-OpenXM-bin remote-ox-server remote-login-name myhostname] )   [(asirconnectr server  (ox_asir function))
  (  ox_launch  client )    (array server;)
  (Example 1: )    (Example: asirconnectr /oxasir.ccc set)
  $ [(tau.math.kobe-u.ac.jp) (/home/taka/OpenXM/bin) $  
  $  (/home/taka/OpenXM/src/ox_math/ox_math) (taka) (dc4.math.kobe-u.ac.jp) $  
  $ ] ox_launch /@@@.oxmath set $  
 ]] putUsages  ]] putUsages
   
 [(ox_launch_nox)  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 [( [remote remote-OpenXM-bin remote-ox-server remote-login-name myhostname] )  %%% functions to start ox_k0
  (  ox_launch_nox  client )  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  (Example 1: )  /oxk0.ccc load isArray
  $ [(tau.math.kobe-u.ac.jp) (/home/taka/OpenXM/bin) $  { }
  $  (/home/taka/OpenXM/src/ox_math/ox_math) (taka) (dc4.math.kobe-u.ac.jp) $  { /oxk0.ccc [ ] def } ifelse
  $ ] ox_launch_nox /@@@.oxmath set $  
 ]] putUsages  
   
 /system-csh {  /ox.k0.init {
     % oxk0.ccc ( Print("Hello!"); ) oxsubmit
     Xm_noX { oxk0.ccc (Xm_noX=true;) oxsubmit }
            { oxk0.ccc (Xm_noX=false;) oxsubmit } ifelse
   } def
   
   /k0connectr {
    [/in-k0connectr /pass /peer /data /control ] pushVariables
    [
      [(getServerEnv) (bin/ox_k0)] extension tag 0 eq {
        (Server bin/ox_sm1 is not found.) error
      }{ } ifelse
   
    /pass ox_encrypt_104_genPass def
    /peer [(oxGetPort) (localhost)] extension def
    /data peer 1 get toString def
    /control peer 3 get toString def
    peer message-quiet
    [
     oxstart100
     Xm_noX { ( -nox ) } {  } ifelse
     ( -oxserver bin/ox_k0 -e ) ( -reverse )
     ( -data ) data ( -control ) control   pass [1 2] get
     ( )] cat execve
    [(oxCreateClient2) peer 0 pass 0 get] extension /oxk0.ccc set
                        %% 0 means connect from only localhost.
    (The server is binded to the variable oxk0.ccc) message-quiet
     ox.k0.init
     /arg1 oxk0.ccc def
    ] pop
    popVariables
    arg1
   } def
   /@@@polymake.k0.ccc [ ] def
   
   /ox_server_mode {
     /:: {   } def  % do nothing
   } def
   
   %% Encryption methods
   /ox_encrypt_104.NONE  0 def
   /ox_encrypt_104.FILE  1 def
   /ox_encrypt_104.RSA   2 def
   /@@@.ox_encrypt_104.method  ox_encrypt_104.NONE  def
   /ox_encrypt_104.1 {
   /arg1 set    /arg1 set
   [/in-system-csh /com /com2] pushVariables    [/sss /rrr] pushVariables
   [    [
     /com arg1 def      /sss arg1 def
     [(/bin/csh -c ") com (")] cat      sss toString /sss set
     /com2 set      {
     %%com2 message        @@@.ox_encrypt_104.method  ox_encrypt_104.NONE  eq {
     com2 system          /rrr [sss] def
           exit
         } {  } ifelse
         (The encryption method has not yet been implemented.) error
       } loop
       /arg1 rrr def
   ] pop    ] pop
   popVariables    popVariables
     arg1
 } def  } def
   
   %<
   % Usages: ox_encrypt_104_genPass
   %  [[ c-pass d-pass ] [c-pass-encrypted d-pass-encrypted ox-command-str ] ...]
   %>
   /ox_encrypt_104_genPass {
     [/sss /p1 /p2 /e1 /e2 /rrr] pushVariables
     [
       /r1 [(oxGenPass)] extension def
       /r2 [(oxGenPass)] extension def
       r1 ox_encrypt_104.1 /e1 set
       r2 ox_encrypt_104.1 /e2 set
       {
         @@@.ox_encrypt_104.method  ox_encrypt_104.NONE  eq {
           [( -passControl ) e1 0 get ( -passData ) e2 0 get ( )] cat /sss set
           [[r1 r2] [e1 0 get , e2 0 get , sss]] /rrr set
           exit
         } { } ifelse
         (The encryption method has not been implemented.) error
       } loop
       rrr /arg1 set
     ] pop
     popVariables
     arg1
   } def
   
 initializePathNamesForOx  %% This should be  [[(lines),[10,-1]],
    [(where),[(shell), (length)]],
    [(reason_of_error), (invalid argument)],
    [(asir_where),[[(toplevel),10],[(string),(foo),3],[(string),(hoge),-1]]
   ]
   /i1 set
   %% /translateErrorForCfep.sampleInput  set
   
   [(translateErrorForCfep)
   [
    (translate the error packet defined in ox-rfc-103 into series of commands for cfep.)
   ]
   ] putUsages
   /translateErrorForCfep {
     /arg1 set
     [/ee /ans /tt /lf /i /nn /ee.orig /tt2] pushVariables
     [
      /ee arg1 def
      {
       ee etag 257 eq {
         ee (body) dc 1 get /ee set  ee /ee.orig set
         ee length 3 gt {
           ee 3 get /ee set
           ee [[(reason_of_error) ee.orig 2 get toString ]] join /ee set
         }{
           %% nn should be 2, [serial, common error no, short message]
           ee length /nn set
           nn 0 gt {
             /ee [(reason_of_error) ee nn 1 sub get toString ] def
           } {  /ee [ ] def } ifelse
         } ifelse
       }{ } ifelse
       ee etag 6 eq not { /ans [ ] def exit } { } ifelse
       /ans [ ] def
       /lf 12 (string) dc def  % line feed.
       ans [(Begin) nl lf] join /ans set
   
       ee (lines) getNode  /tt set
       tt tag 0 eq {
         ee (parse_error_at) getNode /tt set
       } { } ifelse
       tt isArray {
         tt length 0 gt {
            ans
            [(gotoLine, ) tt 0 get toString  nl lf] join /ans set
         }{ } ifelse
       } { } ifelse
       tt isInteger {
         [(gotoLine, ) tt toString  nl lf] join /ans set
       } { } ifelse
   
       ee (where) getNode  /tt set
       tt isArray {
         tt length 0 gt {
            ans
            [(findAndSelect, ) tt 0 get (string) dc  nl lf] join /ans set
         }{ } ifelse
         1 1, tt length 1 sub {
           /i set
            ans
            [(findAndShow, ) tt i get (string) dc  nl lf] join /ans set
         } for
       } { } ifelse
   
       ee (reason_of_error) getNode  /tt set
       tt tag 0 eq {
         ee (reason_of_parse_error) getNode /tt set
       } { } ifelse
       tt tag 0 eq not {
         ans [(printErrorMessage, )
              tt (string) dc localizedString  % for translation.
              nl lf] join /ans set
       }{ } ifelse
   
   %% Keyword from asir.  [(asir_where) [[(toplevel),3],[(string),(foo),3],[(filename),(func),4]]]
       ee (asir_where) getNode  /tt set
       tt (toplevel) getNode /tt2 set
       tt2 isInteger, tt2 tag 15 eq, or {
         ans [(gotoLine, ) tt2 toString  nl lf] join /ans set
       } { } ifelse
       tt isArray {
         0 1 tt length 1 sub {
            /i set
           tt i get /tt2 set
           tt2 (string) getNode tag 0 eq { }
           {
              tt2 length 2 gt {
                 tt2 2 get /tt2 set
                 tt2 isInteger, tt2 tag 15 eq, or {
                   tt2 toString .. /tt2 set
                   tt2 (-1).. gt, tt2 (4294967295).. lt, and {
                     ans [(gotoLine, ) tt2 toString  nl lf] join /ans set
                   } { } ifelse
                 } { } ifelse
              }{ } ifelse
           } ifelse
         } for
       }{ } ifelse
   
       exit
      } loop
      ans [(End) nl lf] join /ans set
      ans cat /arg1 set
     ] pop
     popVariables
     arg1
   } def
   
   /oxclearstack {
     /arg1 set
     [/cl /n] pushVariables
     [
       /cl arg1 def
       cl oxgetsp /n set
       n tag 0 eq { /n 0 def } { } ifelse
       n tag 15 eq { n (integer) dc /n set } { } ifelse
       cl n oxpops
     ] pop
     popVariables
   } def

Legend:
Removed from v.1.9  
changed lines
  Added in v.1.55

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