=================================================================== RCS file: /home/cvs/OpenXM/src/kan96xx/Doc/oxasir.sm1,v retrieving revision 1.7 retrieving revision 1.10 diff -u -p -r1.7 -r1.10 --- OpenXM/src/kan96xx/Doc/oxasir.sm1 2002/08/10 13:30:49 1.7 +++ OpenXM/src/kan96xx/Doc/oxasir.sm1 2002/09/30 02:01:37 1.10 @@ -1,4 +1,4 @@ -% $OpenXM: OpenXM/src/kan96xx/Doc/oxasir.sm1,v 1.6 2002/03/16 00:53:55 takayama Exp $ +% $OpenXM: OpenXM/src/kan96xx/Doc/oxasir.sm1,v 1.9 2002/08/11 11:20:37 takayama Exp $ %% kxx/oxasir.sm1 1998, 2/12 (this version is at Old/oxasir.sm1.19980212 %% 3/1, 1995, 11/5, 11/21 %% This file is error clean. @@ -614,20 +614,21 @@ oxasir.verbose { } def [(bfct) - [(You need to install ox_asir server to use this function. (ox_asir function)) + [ ( 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) bfct fctr :: ) - (Algorithm: M.Noro, Mathematical Software, icms 2002, pp.???-???) + (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 { @@ -658,6 +659,119 @@ oxasir.verbose { arg1 } def +[(generic_bfct) + [ + ( [ii weight] generic_bfct b ) + ( list of poly ii; list weight) + ([ii weight variables] generic_bfct b) + ( list of string ii; list weight; list variables) + ( 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 + +/generic_bfct { + /arg1 set + [/in-generic_bfct /aa /f /comm /vvv0 /n /vvv /ddd /r /setarg + /bf /wt ] pushVariables + [(CurrentRingp)] pushEnv + [ + /aa arg1 def + aa isArray { } { (<> 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 + + /vvv0 getVariableNames def + /n [(N)] system_variable def + /vvv vvv0 n carN rest reverse rest reverse def + /ddd vvv0 reverse n carN reverse + rest reverse rest reverse def + + /wt wt generic_bfct.aux1 def + + /setarg 1 def + } { } ifelse + typev [ArrayP ArrayP StringP] eq + { /f aa 0 get def + /vvv [ aa 2 get to_records pop ] 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 + 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 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 /wt /wtx /wtd /n] pushVariables + [ + arg1 /wt set + /n [(N)] system_variable def + wt { dup tag PolyP eq { toString } { } ifelse } map /wt set + wt weightv /wt set + /wtx wt n carN rest reverse rest reverse def + /wtd wt reverse n carN reverse + rest reverse rest reverse def + wtx wtd join /wt set + wt { dup tag IntegerP eq { (universalNumber) dc } { } ifelse } map /wt set + wt /arg1 set + ] pop + popVariables + arg1 +} def /oxasir.sm1.loaded 1 def [(ostype)] extension 0 get (windows) eq {