=================================================================== RCS file: /home/cvs/OpenXM/src/kan96xx/Doc/ecart.sm1,v retrieving revision 1.35 retrieving revision 1.36 diff -u -p -r1.35 -r1.36 --- OpenXM/src/kan96xx/Doc/ecart.sm1 2004/09/14 03:12:17 1.35 +++ OpenXM/src/kan96xx/Doc/ecart.sm1 2004/09/14 05:49:36 1.36 @@ -1,4 +1,4 @@ -% $OpenXM: OpenXM/src/kan96xx/Doc/ecart.sm1,v 1.34 2004/09/13 11:24:10 takayama Exp $ +% $OpenXM: OpenXM/src/kan96xx/Doc/ecart.sm1,v 1.35 2004/09/14 03:12:17 takayama Exp $ (hol_loaded) boundp { } { [(parse) (hol.sm1) pushfile] extension } ifelse %[(parse) (appell.sm1) pushfile] extension @@ -11,6 +11,9 @@ /ecartd.gb.oxRingStructure [[ ] [ ] ] def /ecart.partialEcartGlobalVarX [ ] def +/ecart.gb.verbose 1 def +/ecart.message.quiet 0 def + /ecartd.begin { ecart.begin [(EcartAutomaticHomogenization) 1] system_variable @@ -20,7 +23,6 @@ [(EcartAutomaticHomogenization) 0] system_variable } def -/ecart.message.quiet 0 def /ecart.message { ecart.message.quiet { pop } { message } ifelse } def @@ -80,11 +82,11 @@ } for ecart.gb.verbose { - (ecart.setOpt:) message - (degreeShift=) messagen degreeShift message - $hdShift(startingShift)=$ messagen hdShift message - (sugar=) messagen ecart.useSugar message - (Other options=) messagen ans message + (ecart.setOpt:) ecart.message + (degreeShift=) ecart.messagen degreeShift ecart.message + $hdShift(startingShift)=$ ecart.messagen hdShift ecart.message + (sugar=) ecart.messagen ecart.useSugar ecart.message + (Other options=) ecart.messagen ans ecart.message } { } ifelse /arg1 ans def @@ -297,7 +299,6 @@ ( not to dehomogenize and homogenize) ]] putUsages -/ecart.gb.verbose 1 def %ecarth.gb s(H)-homogenized outputs. GG's original version of ecart gb. /ecarth.gb { /arg1 set @@ -874,6 +875,7 @@ [(KanGBmessage) ecart.gb.verbose ] system_variable $ecartd.gb dehomogenizes at each reduction step w.r.t. s (H).$ ecart.message + %%% Start of the preprocess v tag RingP eq { @@ -1066,7 +1068,7 @@ vv {toString} map /vv set vvGlobal isArray { } { [vvGlobal to_records pop] /vvGlobal set } ifelse - vvGlobal {toString} map /vv set + vvGlobal {toString} map /vvGlobal set vv vvGlobal setMinus /vv set vv { /tt set [@@@.Dsymbol tt] cat } map /dd set @@ -1822,7 +1824,11 @@ vv { /tt set [@@@.Dsymbol tt] cat } map /dvv set dvv { 1 } map /wv1 set vv { -1 } map dvv { 1 } map join /wv2 set - /arg1 [wv1 wv2 ] def + vv length 0 eq { + /arg1 [ ] def + } { + /arg1 [wv1 wv2 ] def + } ifelse ] pop popVariables arg1 @@ -1833,6 +1839,7 @@ [/in-ecartd.isSameIdeal_h /aa /ii /jj /iigg /jjgg /vv /ans /k /n /f /ecartd.isSameIdeal_h.opt /save-ecart.autoHomogenize /wv /save-ecart.message.quiet + /vvGlobal /rng ] pushVariables [(CurrentRingp) (Homogenize_vec)] pushEnv [ @@ -1840,20 +1847,32 @@ gb.verbose { (Getting in ecartd.isSameIdeal_h) message } { } ifelse %% comparison of hilbert series has not yet been implemented. /save-ecart.message.quiet ecart.message.quiet def - aa length 3 eq { } + aa length 3 eq , aa length 4 eq , or { } { ([ii jj vv] ecartd.isSameIdeal_h) error } ifelse /ii aa 0 get def /jj aa 1 get def /vv aa 2 get def + + aa length 4 eq { + /vvGlobal aa 3 get def + vvGlobal isString { [vvGlobal to_records pop] /vvGlobal set } + { vvGlobal { toString } map /vvGlobal set } ifelse + } { /vvGlobal [ ] def } ifelse + ii length 0 eq jj length 0 eq and { /ans 1 def /LLL.ecartd.isSame_h goto } { } ifelse - vv ecart.stdOrder /wv set + [vv vvGlobal] ecart.stdBlockOrder /wv set + vvGlobal length 0 eq { + /rng [vv wv ] def + }{ + /rng [vv wv [(partialEcartGlobalVarX) vvGlobal]] def + } ifelse /save-ecart.autoHomogenize ecart.autoHomogenize def /ecart.autoHomogenize 0 def - [ii vv wv] ecartd.gb /iigg set - [jj vv wv] ecartd.gb /jjgg set + [ii] rng join ecartd.gb /iigg set + [jj] rng join ecartd.gb /jjgg set save-ecart.autoHomogenize /ecart.autoHomogenize set iigg getRing ring_def @@ -1874,7 +1893,7 @@ 0 1 n 1 sub { /k set iigg k get - [jjgg vv wv] ecartd.reduction 0 get + [jjgg] ecartd.reduction 0 get (0). eq not { /ans 0 def /LLL.ecartd.isSame_h goto} { } ifelse gb.verbose { (o) messagen } { } ifelse } for @@ -1883,7 +1902,7 @@ 0 1 n 1 sub { /k set jjgg k get - [iigg vv wv] ecartd.reduction 0 get + [iigg] ecartd.reduction 0 get (0). eq not { /ans 0 def /LLL.ecartd.isSame_h goto} { } ifelse gb.verbose { (o) messagen } { } ifelse } for @@ -1902,11 +1921,113 @@ [(ecartd.isSameIdeal_h) [([ii jj vv] ecartd.isSameIdeal_h bool) (ii, jj : ideal, vv : variables) - $The ideals ii and jj will be compared in the ring h[0,1](D).$ + $The ideals ii and jj will be compared in the ring h[0,1](D_0).$ $ii and jj are re-parsed.$ $Example 1: [ [((1-x) Dx + h)] [((1-x)^2 Dx + h (1-x))] (x)] ecartd.isSameIdeal_h $ + ([ii jj vv vvGlobal] ecartd.isSameIdeal_h bool) + $ Ideals are compared in Q(x')_0 [x''] $ + ( where x'' is specified in vvGlobal.) + (cf. partialEcartGlobalVarX option) ]] putUsages +/ecartd.isSameIdeal_noh { + /arg1 set + [/aa /ii /jj /iigg /jjgg /vv /ans /k /n /f + /ecartd.isSameIdeal_h.opt + /save-ecart.autoHomogenize /wv /save-ecart.message.quiet + /vvGlobal /rng + ] pushVariables + [(CurrentRingp) (Homogenize_vec)] pushEnv + [ + /aa arg1 def + gb.verbose { (Getting in ecartd.isSameIdeal_noh) message } { } ifelse + %% comparison of hilbert series has not yet been implemented. + /save-ecart.message.quiet ecart.message.quiet def + aa length 3 eq , aa length 4 eq , or { } + { ([ii jj vv] ecartd.isSameIdeal_noh) error } ifelse + /ii aa 0 get def + /jj aa 1 get def + /vv aa 2 get def + + aa length 4 eq { + /vvGlobal aa 3 get def + vvGlobal isString { [vvGlobal to_records pop] /vvGlobal set } + { vvGlobal { toString } map /vvGlobal set } ifelse + } { /vvGlobal [ ] def } ifelse + + ii length 0 eq jj length 0 eq and + { /ans 1 def /LLL.ecartd.isSame_h goto } { } ifelse + + [vv vvGlobal] ecart.stdBlockOrder /wv set + vvGlobal length 0 eq { + /rng [vv wv ] def + }{ + /rng [vv wv [(partialEcartGlobalVarX) vvGlobal]] def + } ifelse + + /save-ecart.autoHomogenize ecart.autoHomogenize def + /ecart.autoHomogenize 0 def + [ii] rng join ecartd.gb /iigg set + [jj] rng join ecartd.gb /jjgg set + save-ecart.autoHomogenize /ecart.autoHomogenize set + + iigg getRing ring_def + + getOptions /ecartd.isSameIdeal_h.opt set + + /ans 1 def + iigg 0 get /iigg set + jjgg 0 get /jjgg set + %%Bug: not implemented for the case of module. + + /save-ecart.message.quiet ecart.message.quiet def + /ecart.message.quiet 1 def + gb.verbose { (Comparing) message iigg message (and) message jjgg message } + { } ifelse + gb.verbose { ( ii < jj ?) messagen } { } ifelse + iigg length /n set + 0 1 n 1 sub { + /k set + iigg k get + [jjgg] ecartd.reduction_noh 0 get + (0). eq not { /ans 0 def /LLL.ecartd.isSame_noh goto} { } ifelse + gb.verbose { (o) messagen } { } ifelse + } for + gb.verbose { ( jj < ii ?) messagen } { } ifelse + jjgg length /n set + 0 1 n 1 sub { + /k set + jjgg k get + [iigg] ecartd.reduction_noh 0 get + (0). eq not { /ans 0 def /LLL.ecartd.isSame_noh goto} { } ifelse + gb.verbose { (o) messagen } { } ifelse + } for + /LLL.ecartd.isSame_noh + gb.verbose { ( Done) message } { } ifelse + save-ecart.message.quiet /ecart.message.quiet set + ecartd.isSameIdeal_h.opt restoreOptions + /arg1 ans def + ] pop + popEnv + popVariables + arg1 +} def + +[(ecartd.isSameIdeal_noh) +[([ii jj vv] ecartd.isSameIdeal_noh bool) + (ii, jj : ideal, vv : variables) + $The ideals ii and jj will be compared in the ring D_0.$ + $ii and jj are re-parsed.$ + $Example 1: [ [((1-x) Dx + 1)] [((1-x)^2 Dx + (1-x))] (x)] ecartd.isSameIdeal_noh $ + ([ii jj vv vvGlobal] ecartd.isSameIdeal_noh bool) + $ Ideals are compared in Q(x')_0 [x''] $ + ( where x'' is specified in vvGlobal.) + (cf. partialEcartGlobalVarX option, ecartd.reduction_noh, ecartd.isSameIdeal_h) + $Example 2: [ [(1-z) (1-x-y-z)] [(1-x) (1-y)] (x,y,z) [(x)]] $ + $ ecartd.isSameIdeal_noh $ +]] putUsages +(ecartd.isSameIdeal_noh ) messagen-quiet + /ecart.01Order { /arg1 set [/in-ecart.01Order /vv /tt /dvv /wv1 /wv2 @@ -1954,7 +2075,48 @@ $Example 1: [ [((1-x) Dx + 1)] (x)] ecart.homogenize01Ideal $ ]] putUsages +% Example: [(x,y,z) (x)] ecart.stdBlockOrder +% [[(Dy) 1 (Dz) 1] [(y) -1 (z) -1 (Dy) 1 (Dz) 1] [(x) 1 (Dx) 1]] +% Example: [(x,y,z) [ ]] ecart.stdBlockOrder +/ecart.stdBlockOrder { + /arg1 set + [/vv /vvGlobal /tt /dd /rr] pushVariables + [ + /vv arg1 0 get def + /vvGlobal arg1 1 get def + { + vv isArray + { } { [vv to_records pop] /vv set } ifelse + vv {toString} map /vv set + vvGlobal isArray + { } { [vvGlobal to_records pop] /vvGlobal set } ifelse + vvGlobal {toString} map /vvGlobal set + vvGlobal length 0 eq { + vv ecart.stdOrder /rr set exit + } { } ifelse + + vv vvGlobal setMinus /vv set + vv ecart.stdOrder /rr set + + vvGlobal { /tt set [@@@.Dsymbol tt] cat } map /dd set + [[ + 0 1 vvGlobal length 1 sub { + /tt set + vvGlobal tt get , 1 + } for + 0 1 dd length 1 sub { + /tt set + dd tt get , 1 + } for + ]] rr join /rr set + exit + } loop + /arg1 rr def + ] pop + popVariables + arg1 +} def ( ) message-quiet