version 1.28, 2003/12/04 10:35:24 |
version 1.33, 2004/02/24 01:36:14 |
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%%%%%%%%%%% $OpenXM: OpenXM/src/kan96xx/Doc/ox.sm1,v 1.27 2003/11/17 05:45:46 takayama Exp $ |
%%%%%%%%%%% $OpenXM: OpenXM/src/kan96xx/Doc/ox.sm1,v 1.32 2004/02/24 00:45:33 takayama Exp $ |
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/ox.sm1.myname (ox-new.sm1) def |
/ox.sm1.myname (ox-new.sm1) def |
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Line 1407 oxasir.verbose { |
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Line 1407 oxasir.verbose { |
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f { toString . } map /f set |
f { toString . } map /f set |
vvv { . } map /vvv set |
vvv { . } map /vvv set |
ddd { . } map /ddd set |
ddd { . } map /ddd set |
/wt wt generic_bfct.aux1 def |
/wt [vvv ddd wt] generic_bfct.aux1 def |
} ifelse |
} ifelse |
[f vvv ddd wt] message |
[f vvv ddd wt] message |
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Line 1428 oxasir.verbose { |
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Line 1428 oxasir.verbose { |
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/generic_bfct.aux1 { |
/generic_bfct.aux1 { |
/arg1 set |
/arg1 set |
[/in-generic_bfct.aux1 /wt /wtx /wtd /n] pushVariables |
[/in-generic_bfct.aux1 /ii /jj /wt /wtx /wtd /vv /dd /n] pushVariables |
[ |
[ |
arg1 /wt set |
arg1 2 get /wt set |
/n [(N)] system_variable def |
arg1 0 get /vv set |
wt { dup tag PolyP eq { toString } { } ifelse } map /wt set |
arg1 1 get /dd set |
wt weightv /wt set |
/wtx [ 0 1 vv length 1 sub { pop (0).. } for ] def |
/wtx wt n carN rest reverse rest reverse def |
/n wt length def |
/wtd wt reverse n carN reverse |
0 2 n 1 sub { |
rest reverse rest reverse def |
/ii set |
wtx wtd join /wt set |
0 1 vv length 1 sub { |
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/jj set |
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wt ii get toString dd jj get toString eq { |
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wtx jj << wt ii 1 add get >> put |
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} { } ifelse |
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} for |
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} for |
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wtx /wt set |
wt { dup tag IntegerP eq { (universalNumber) dc } { } ifelse } map /wt set |
wt { dup tag IntegerP eq { (universalNumber) dc } { } ifelse } map /wt set |
wt /arg1 set |
wt /arg1 set |
] pop |
] pop |
popVariables |
popVariables |
arg1 |
arg1 |
} def |
} def |
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/verbose.wgr 1 def |
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%[ ff vv ww ] asir.wgb [gb init] |
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/asir.wgr { |
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/arg1 set |
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[/in-asir.gb /ff /vv /ww /vvx /vvd /avv /comm /wvec /i] pushVariables |
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[ |
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/ff arg1 0 get def |
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/vv arg1 1 get def |
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/ww arg1 2 get def |
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oxasir.ccc [ ] eq { |
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(Starting ox_asir server.) message |
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ox_asirConnectMethod |
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} { } ifelse |
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vv isArray { |
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vv from_records /vv set |
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} { } ifelse |
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oxasir.ccc [(dp_gr_print) (2)..] asir |
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[vv to_records pop] /vvx set |
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vvx { toString (D) 2 1 roll 2 cat_n } map /vvd set |
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[ |
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0 1 vvx length 1 sub { |
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/i set |
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vvx i get |
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0 ww i get sub |
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vvd i get |
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ww i get |
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} for |
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] /wvec set |
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[vv ring_of_differential_operators |
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[wvec] weight_vector |
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0] define_ring |
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ff { . dehomogenize homogenize } map /ff set |
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vvx { . } map /vvx set %%ex [x,y] |
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vvd { . } map /vvd set %%ex [Dx,Dy] |
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vvx vvd join [(h).] join /avv set |
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verbose.wgr { |
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(Asir (-w,w) gb in the Weyl algebra) message |
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(wvec=) messagen wvec message |
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(ff=) messagen ff message |
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(avv=) messagen avv message |
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} { } ifelse |
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[$dp_weyl_set_weight(newvect($ ww length toString $,$ |
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ww toString $));$ ] cat /comm set |
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verbose.wgr { |
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comm message |
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} { } ifelse |
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oxasir.ccc comm oxsubmit ; |
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oxasir.ccc [(dp_weyl_gr_main) ff avv (0).. (1).. (11)..] asir |
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/arg1 set |
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] pop |
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popVariables |
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arg1 |
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} def |
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[(asir.wgr) |
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[([ ff vv ww ] asir.wgr g) |
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$It computes the (-ww,ww) Grobner basis of ff in the homogenized Weyl algebra.$ |
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(Homogenization is automatically done.) |
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$Example 1: $ |
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$ [ [(x*Dx+y*Dy-1) (Dx*Dy)] $ |
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$ (x,y) $ |
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$ [1 2 ] ] asir.wgr $ |
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]] putUsages |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
%%% functions to start ox_asir |
%%% functions to start ox_asir |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
Line 1520 oxasir.verbose { |
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Line 1601 oxasir.verbose { |
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popVariables |
popVariables |
arg1 |
arg1 |
} def |
} def |
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/@@@polymake.k0.ccc [ ] def |
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