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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Copyright (C) 1994,1997,1999,2001,2002,2003 Joergen Backelin
%%
%% Bergman is distributed in the hope that it will be useful,
%% but WITHOUT ANY WARRANTY. No author or distributor
%% accepts responsibility to anyone for the consequences of using it
%% or for whether it serves any particular purpose or works at all,
%% unless (s)he says so in writing. Refer to the Bergman General
%% Public License for full details.
%% Everyone is granted permission to copy, modify and redistribute
%% bergman, but only under the conditions described in the
%% Bergman General Public License. A copy of this license is
%% supposed to have been given to you along with bergman so you
%% can know your rights and responsibilities. It should be in a
%% file named copyright. Among other things, the copyright notice
%% and this notice must be preserved on all copies.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% %%
%% WARNING! WARNING! WARNING! %%
%% %%
%% Do not compile the content of this file! It %%
%% mainly contains top-of-the-top procedures, %%
%% which should be visible to the user. %%
%% Moreover, trying to compile the self-loading %%
%% macros should (rightfully) cause errors! %%
%% %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% CHANGES:
% Added more self loading macros./JoeB 2005-06-26
% Made changes in RABBIT, added 4 new global variables /ufn 2005-06-21
% added 3 procedures SETRABBIT, (should be moved to modes)
% Added procedure BETTI and a global flag PRINTBETTI /ufn, sveta 2005-06-21
% PREPARETOANICK: Changed by SC&VU 16.06.2005 because
% if e.g. we (in this order) call ANICK,
% SETNORESOLUTION, and ANICK again, the second call
% to ANICK does not work. The reason is that only
% when the anick module is loaded the setup changes
% are made.
% Corrected LEFTMODULEBETTINUMBERS./SK & VU 2005-06-16
% Made RABBIT change LOWTERMSHANDLING instead of loading "safe".
% /JoeB 2004-10-12
% Made CLEARRING call CLEARIDEAL./JoeB 2004-10-11
% Changed SeriesPrinting to SERIESPRINTING./JoeB 2004-05-08
% Added PBSERIES setting to PREPARETOANICK (since this
% nowadays is not made automatically by NONCOMMIFY).
% /JoeB 2004-04-30
% WarningIfFiniteGB --> WARNINGIFFINITEGB./JoeB 2004-04-28
% Added setting of default values of NRMODGEN and NLMODGEN in
% HOCHSCHILD, and settings of PBSERIES and calls to LOADIFMACROS
% in FACTALGBETTINUMBERS and HOCHSCHILD.% /JoeB 2003-11-05 - 11-09
% Removed removal of set variable number from CLEARIDEAL.
% Added CLEARRING./JoeB 2003-10-30 - 31
% Declared !*OBSOLETENAMESINFORM GLOBAL./JoeB 2003-08-28
% Replaced *NONCOMMUTATIVE by GETRINGTYPE calls./JoeB 2003-08-25
% Modified PREPARETOANICK. Made DF calls involving the local
% variables TMP, TMP1, TMP2 work by means of EVAL. Collected
% all GLOBAL definitions to the front. Added SETANICKRESOLUTIONS,
% !*AnickIsLoaded, MAYBEAUTOADDRELATIONS./JoeB 2002-10-12
% Lots of changes ... (some of which involve Hochschild homology
% calculations). PREPARETOANICK, WarningIfFiniteGB,
% LEFTMODULEBETTINUMBERS, FactAlgScreenInput, HOCHSCHILD, RABBIT
% added. (July, 2002.)
% Added HILBERT SC & VU 2002-06-28
% Added MODULEBETTINUMBERS, FACTALGBETTINUMBERS, TWOMODBETTINUMBERS
% SK & VU 2001-08-03
% PBSisLoaded!* --> HSisLoaded!*./JoeB 1999-11-04
% Added PRINTNEXT (for debugging input)./JoeB 1999-10-20
% CHANNELFLUSH --> FLUSHCHANNEL./JoeB 1999-07-04
% Made the hseries.sl user available procedures self-loading.
% Replaced direct ALGOUTMODE access./JoeB 1999-06-29
% Made MODULEHSERIES a self-loading macro./JoeB 1999-06-26
% CLEARALL --> CHEARIDEAL (but old name kept as alias).
% Brought MODULEHSERIES from bmtop.sl. Changed oldded use.
% /JoeB 1998-10-22 -- 10-24
% Introduced APPLYIFDEF0, GETCURRENTDEGREE, SETCURRENTDEGREE.
% /JoeB 1998-08-07, 1998-08-24
% CLEARALL now sets cDeg to NIL./JoeB 1997-10-12
(GLOBAL '(MODULESHSERIESFILE!* HSERIESFILE!* !*HSisLoaded
!*AnickIsLoaded anresScInput !&!*PRESENTCHAN!#
!*STANDARDANICKMODES MinCancelingDegree HlbScInput
HlbGbFile NRMODGEN NLMODGEN NMODGEN bnmScInput
!*OBSOLETENAMESINFORM !*PRINTBETTI startdeg
stepdeg finishdeg Rabbitfile))
% Top-of-the-top level functions.
(DE CLEARIDEAL ()
(PROGN (SETQ SPairs ())
(SETQ cSPairs ())
(COND ((PAIRP GBasis) (RPLACD GBasis ()))
(T (SETQ GBasis (CONS () ()))))
(COND ((PAIRP cGBasis) (RPLACD cGBasis ()))
(T (SETQ cGBasis (CONS () ()))))
(SETQ InPols ())
(SETQ cInPols ())
(SETCURRENTDEGREE ())
(COND ((PAIRP MONLIST) (RPLACD MONLIST ()))
(T (SETQ MONLIST (CONS () ()))))
(COND ((PAIRP MAOaux) (RPLACD MAOaux ()))
(T (SETQ MAOaux (CONS () ()))))
(COND (!*HSisLoaded (CLEARPBSERIES)))
% (SETQ EMBDIM ())
% (SETQ !&!*InnerEmbDim!&!* ())
(SETQ ReclaimList ())
(COND ((PAIRP HISTORYLIST!*) (RPLACD HISTORYLIST!* NIL)))
(APPLYIFDEF0 '(CLEARHOMOGENISATION CLEARRESOLUTION))
(RECLAIM) ))
(DE CLEARRING ()
(PROGN (CLEARIDEAL)
(CLEARWEIGHTS)
(CLEARVARS)
(COND ((PAIRP MONLIST) (RPLACD MONLIST ()))
(T (SETQ MONLIST (CONS () ()))))
(COND ((PAIRP MAOaux) (RPLACD MAOaux ()))
(T (SETQ MAOaux (CONS () ()))))
(SETQ ReclaimList ()) ))
(DE CLEARALL () (PROGN
(COND (!*OBSOLETENAMESINFORM (TERPRI)
(PRIN2 "*** CLEARALL is obsolete - use CLEARIDEAL instead! ")
(TERPRI)))
(CLEARIDEAL)))
(DE GI () (GROEBNERINIT)) (DE GK () (GROEBNERKERNEL)) (DE BO () (BIGOUTPUT))
(DE GF () (GROEBNERFINISH)) (DE CL () (CLEARIDEAL))
(DE DOP (fil) (EVAL (LIST 'DEGREEOUTPREPARE fil)))
(DE ES () (PROGN (DEGREEOUTPUT) (ENDDEGREEOUTPUT)))
(DE STF (fil) (SETQ TESTFOO fil))
(DF SMI (lrg) (PRINTX (SET (CAR lrg) (MONINTERN (CDR lrg)))))
(DF SIMPLE (files)
(PROG (outfi)
(COND ((AND (PAIRP files) (FILEP (CAR files)))
(DSKIN (CAR files))
(COND ((AND (PAIRP (CDR files)) (STRINGP (CADR files)))
(SETQ outfi (CADR files))))
(GO skip)))
(PRIN2 "Now input in-variables and ideal generators in algebraic form, thus:")
(TERPRI) (PRIN2 " vars v1, ..., vn;") (TERPRI)
(PRIN2 " r1, ..., rm;") (TERPRI)
(PRIN2 "where v1, ..., vn are the variables, and r1, ..., rm the generators.")
(TERPRI) (ALGFORMINPUT)
skip (SETALGOUTMODE ALG)
(COND (outfi (DOP outfi)) (T (DEGREEOUTPREPARE)))
(GROEBNERINIT)
(GROEBNERKERNEL)
(GROEBNERFINISH)
(PRIN2 " - All is OK (I hope). Now you may (e. g.):") (TERPRI)
(PRIN2 " - kill bergman with (QUIT); or") (TERPRI)
(PRIN2 " - interrupt bergman with ^Z; or") (TERPRI)
(PRIN2 " - clear the memory with (CLEARIDEAL), and run a new (SIMPLE).")
(TERPRI) ))
(DE DEGREEENDDISPLAY () (PROGN (DEGREEOUTPUT) (TERPRI)
(PRIN2 "% No. of Spolynomials calculated until degree ")
(PRIN2 (GETCURRENTDEGREE)) (PRIN2 ": ") (PRINT NOOFSPOLCALCS)
(PRIN2 "% Time: ") (PRINT (TIME))
))
(FLAG '(DEGREEENDDISPLAY) 'USER)
(DE NCPBHGROEBNER (infile gbfile PBfile Hfile)
(PROG (oldoutfi PBoutfi Houtfi !*CUSTSHOW !*PBSERIES oldded)
(COND ((EQ (GETRINGTYPE) 'COMMUTATIVE)
(PRIN2 "*** We turn on noncommutativity")
(TERPRI)
(NONCOMMIFY)))
(ON PBSERIES)
% DON'T change the next line without asking SC and VU:
(COND ((EQ (GETALGOUTMODE) 'LISP)
(SETALGOUTMODE ALG)))
(DSKIN infile)
(DOP gbfile)
(SETQ PBoutfi (OPEN PBfile 'OUTPUT))
(SETQ Houtfi (OPEN Hfile 'OUTPUT))
(ON CUSTSHOW)
(COPYD 'oldded 'DEGREEENDDISPLAY)
(COPYD 'DEGREEENDDISPLAY 'NCPBHDED)
(GROEBNERINIT)
(GROEBNERKERNEL)
(GROEBNERFINISH)
(CLOSE PBoutfi)
(CLOSE Houtfi)
(COPYD 'DEGREEENDDISPLAY 'oldded) ))
(COPYD 'oldded 'DEGREEENDDISPLAY)
(DE NCPBHDED ()
(PROGN (DEGREEOUTPUT)
(SETQ oldoutfi (WRS PBoutfi))
(TDEGREECALCULATEPBSERIES (GETCURRENTDEGREE))
(FLUSHCHANNEL PBoutfi)
(WRS Houtfi)
(TDEGREEHSERIESOUT (GETCURRENTDEGREE))
(FLUSHCHANNEL Houtfi)
(WRS oldoutfi)
(TERPRI)
(PRIN2 "% No. of Spolynomials calculated until degree ")
(PRIN2 (GETCURRENTDEGREE)) (PRIN2 ": ") (PRINT NOOFSPOLCALCS)
(PRIN2 "% No. of ReducePol(0) demanded until degree ")
(PRIN2 (GETCURRENTDEGREE)) (PRIN2 ": ") (PRINT NOOFNILREDUCTIONS)
(PRIN2 "% Time: ") (PRINT (TIME))
))
(FLAG '(oldded NCPBHDED) 'USER)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% A variant of NCPBHGROEBNER skipping Groebner basis %%%
%%% printing SK & VU, 01-08-09 %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
(DE NCPBHDD ()
(PROGN % (DEGREEOUTPUT)
(SETQ oldoutfi (WRS PBoutfi))
(TDEGREECALCULATEPBSERIES (GETCURRENTDEGREE))
(FLUSHCHANNEL PBoutfi)
(WRS Houtfi)
(TDEGREEHSERIESOUT (GETCURRENTDEGREE))
(FLUSHCHANNEL Houtfi)
(WRS oldoutfi)
(TERPRI)
% (PRIN2 "% No. of Spolynomials calculated until degree ")
% (PRIN2 (GETCURRENTDEGREE)) (PRIN2 ": ") (PRINT NOOFSPOLCALCS)
% (PRIN2 "% No. of ReducePol(0) demanded until degree ")
% (PRIN2 (GETCURRENTDEGREE)) (PRIN2 ": ") (PRINT NOOFNILREDUCTIONS)
% (PRIN2 "% Time: ") (PRINT (TIME))
))
(DE NCPBH (infile PBfile Hfile)
(PROG (oldoutfi PBoutfi Houtfi !*CUSTSHOW !*PBSERIES oldded)
(COND ((EQ (GETRINGTYPE) 'COMMUTATIVE)
(PRIN2 "*** We turn on noncommutativity")
(TERPRI)
(NONCOMMIFY)))
(ON PBSERIES)
% DON'T change the next line without asking SC and VU:
(COND ((EQ (GETALGOUTMODE) 'LISP)
(SETALGOUTMODE ALG)))
(DSKIN infile)
% (DOP gbfile)
(SETQ PBoutfi (OPEN PBfile 'OUTPUT))
(SETQ Houtfi (OPEN Hfile 'OUTPUT))
(ON CUSTSHOW)
(COPYD 'oldded 'DEGREEENDDISPLAY)
(COPYD 'DEGREEENDDISPLAY 'NCPBHDD)
(GROEBNERINIT)
(GROEBNERKERNEL)
(GROEBNERFINISH)
(CLOSE PBoutfi)
(CLOSE Houtfi)
(COPYD 'DEGREEENDDISPLAY 'oldded) ))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% The following procedures are self-loading, and must %%%
%%% not be compiled! %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Stagger with substance key routines:
% Flagged the procedures USER 94-08-25 /JoeB
(PROG (axx)
(DM STAGSIMPLE (u)
(PROGN (LAPIN (MKBMPATHEXPAND "$bmauxil/stagsubs.sl")) u))
(MAPC (SETQ axx '(STAGGERINIT STAGGERKERNEL STAGGERFINISH AUTOREDUCEINPUT
AUTOREDDEGENDDISPLAY AutoReduceFromTo STAGTYPECHECKER))
(FUNCTION (LAMBDA (fcn) (COPYD fcn 'STAGSIMPLE))))
(FLAG (CONS 'STAGSIMPLE axx) 'USER)
(DM ALGOUTLIST (u)
(PROGN (EVAL (LIST 'LOAD HSERIESFILE!*))
(ON HSisLoaded)
u))
(MAPC (SETQ axx '(CALCPOLRINGHSERIES CALCRATHILBERTSERIES
CALCRATHILBERTSERIES CALCPOLRINGHSERIES CALCTOLIMIT
CLEARHSERIESMINIMA CLEARPBSERIES DEGREEPBSERIESDISPLAY
GBASIS2HSERIESMONID GETHSERIESMINIMA GETHSERIESMINIMUM
INVERT-FPSERIES-STEP RECEVAL RECEVLIS REMLASTSERIESCALC
REVERTSERIESCALC SETHSERIESMINIMA SETHSERIESMINIMUMDEFAULT
TDEGREEHSERIESOUT TDEGREECALCULATEPBSERIES VECTPLUS
FACTALGADDITIONALRELATIONS HOCHADDITIONALRELATIONS
CALCMODHSERIES RENEWSERIES))
(FUNCTION (LAMBDA (fcn) (COPYD fcn 'ALGOUTLIST))))
(FLAG (CONS 'ALGOUTLIST axx) 'USER)
(DM SETANICKRESOLUTION (u)
(PROGN (EVAL (LIST 'LOAD 'ANICK))
(COND (!*STANDARDANICKMODES
(ONFLYBETTI T)))
(ON AnickIsLoaded)
u))
(MAPC (SETQ axx '(CALCBETTI CLEARRESOLUTION GETHOMMAXDEGREE
ONFLYBETTI SETHOMMAXDEGREE))
(FUNCTION (LAMBDA (fcn) (COPYD fcn 'SETANICKRESOLUTION))))
(FLAG (CONS 'SETANICKRESOLUTION axx) 'USER)
)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Non-comm module top-of-the-top stuff: %
% Added by SK & VU 96-08-18 %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
(DM MODULEHSERIES (u) (PROGN (LAPIN MODULESHSERIESFILE!*) u))
(FLAG '(MODULEHSERIES) 'USER)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% The top-of-the-top function for Anick resolution and Betti%
% numbers computation. %
% OBJECTTYPE is RING. Added by SK & VU 15-08-2001 %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
(DF ANICK (files)
% (bnmInputFile bnmOutFile)
(PROG ( !*USERMODE)
(COND
((NOT (EQ (GETOBJECTTYPE) 'RING))
(SETRINGOBJECT)
(TERPRI)
(PRIN2 "*** We turn on the RING mode")
(TERPRI)
)
)
(PREPARETOANICK)
(SETQ LENG (LENGTH files))
(COND ( (EQ LENG 0) (anresScreenInput ))
( (EQ LENG 1) (bnmCheckInput files) )
( (EQ LENG 2) (bnmCheckOutput files) (bnmCheckInput files) )
)
(COND (bnmOutFile (DOP bnmOutFile) )
(T (DEGREEOUTPREPARE))
)
(SETALGOUTMODE ALG)
(GROEBNERINIT)
(GROEBNERKERNEL)
(WARNINGIFFINITEGB)
))
% global switch, used temporary for Jan-EriK , ufn 2005-06-19
(OFF PRINTBETTI)
%temporary procedure for Jan-Erik to skip output of GB
% to save and flush Betti numbers into file, ufn 2005-06-19
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Betti numbers without GB printing top-of-the-top stuff: %
% Added by SK & VU 05-06-14 %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
(DF BETTI (files)
(PROG ( !*USERMODE)
(COND
((NOT (EQ (GETOBJECTTYPE) 'RING))
(SETRINGOBJECT)
(TERPRI)
(PRIN2 "*** We turn on the RING mode")
(TERPRI)
)
)
(PREPARETOANICK)
(SETQ LENG (LENGTH files))
(COND ( (EQ LENG 0) (anresScreenInput ))
( (EQ LENG 1) (bnmCheckInput files) )
( (EQ LENG 2) (bnmCheckInput files)
%skip checking output files in this version.
(SETQ ANICKRESOLUTIONOUTPUTFILE (CADR files))
(ON PRINTBETTI) )
)
%(COND (bnmOutFile (DOP bnmOutFile) )
% (T (DEGREEOUTPREPARE))
%)
(SETALGOUTMODE ALG)
(GROEBNERINIT)
(GROEBNERKERNEL)
%(WARNINGIFFINITEGB)
(COND
((GETMAXDEG)
(COND
( (LESSP (GETCURRENTDEGREE) (GETMAXDEG))
(CALCULATEANICKRESOLUTIONTOLIMIT (GETMAXDEG)))
)
)
)
(OFF PRINTBETTI)
% (BETTIDISPLAY)
))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Betti numbers for right modules top-of-the-top stuff: %
% Added by SK & VU 01-08-02 %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
(DF MODULEBETTINUMBERS (files)
% (bnmInputFile bnmOutFile)
(PROG ( !*USERMODE)
(COND
((NOT (EQ (GETOBJECTTYPE) 'MODULE))
(SETMODULEOBJECT)
(TERPRI)
(PRIN2 "*** We turn on the MODULE mode")
(TERPRI)
)
)
(PREPARETOANICK)
(SETQ LENG (LENGTH files))
(COND ( (EQ LENG 0) (bnmScreenInput ))
( (EQ LENG 1) (bnmCheckInput files) )
( (EQ LENG 2) (bnmCheckOutput files) (bnmCheckInput files) )
)
(COND (bnmOutFile (DOP bnmOutFile) )
(T (DEGREEOUTPREPARE))
)
(SETALGOUTMODE ALG)
(SETCHAINSTARTS ( BMI!- (ADD1(GETINVARNO)) NMODGEN) (GETINVARNO)) %VU
(GROEBNERINIT)
(GROEBNERKERNEL)
(WARNINGIFFINITEGB)
))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Betti numbers for left modules top-of-the-top stuff: %
% Added by SK & VU 02-06-09; corrected by SK & VU 05-06-14 %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
(DF LEFTMODULEBETTINUMBERS (files)
% (bnmInputFile bnmOutFile)
(PROG ( LENG !*USERMODE)
(COND
((NOT (EQ (GETOBJECTTYPE) 'MODULE))
(SETMODULEOBJECT)
(TERPRI)
(PRIN2 "*** We turn on the MODULE mode")
(TERPRI)
)
)
(PREPARETOANICK)
%Here is the one-line difference with right module!
%It should be after PREPARETOANICK
(COPYD 'PolAlgRead 'revnoncommPolAlgRead)
(SETQ LENG (LENGTH files))
(COND ( (EQ LENG 0) (bnmScreenInput ))
( (EQ LENG 1) (bnmCheckInput files) )
( (EQ LENG 2) (bnmCheckOutput files) (bnmCheckInput files) )
)
(COND (bnmOutFile (DOP bnmOutFile) )
(T (DEGREEOUTPREPARE))
)
(SETALGOUTMODE ALG)
(SETCHAINSTARTS ( BMI!- (ADD1(GETINVARNO)) NMODGEN) (GETINVARNO)) %VU
(GROEBNERINIT)
(GROEBNERKERNEL)
(WARNINGIFFINITEGB)
))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Betti numbers for factor algebra top-of-the-top stuff: %
% Added by SK & VU 01-08-07 %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
(DF FACTALGBETTINUMBERS (files)
% (bnmInputFile bnmOutFile)
(PROG (TMP LENG !*REDEFMSG !*USERMODE)
(COND
% ((NOT (EQ (GETOBJECTTYPE) 'FACTORALGEBRA))
% (SETFACTALGOBJECT)
% (TERPRI)
% (PRIN2 "*** We turn on the FACTORALGEBRA mode")
% (TERPRI)
% )
((NOT (EQ (GETOBJECTTYPE) 'MODULE))
(SETMODULEOBJECT)
(TERPRI)
(PRIN2 "*** We turn on the MODULE mode")
(TERPRI)
)
)
(COND
((NOT !*PBSERIES)
(ON PBSERIES)
(TERPRI)
(PRIN2 "*** We turn on PBSERIES")
(TERPRI)))
% Added 2003-11-05/JoeB. If FACTALGADDITIONALRELATIONS is a
% self-loading macro, we cannot directly replace compiled
% calls to the EXPR ADDADDITIONALRELATIONS with calls to this
% macro, but should first perform that self-loading!
(LOADIFMACROS FACTALGADDITIONALRELATIONS)
%Here we want to add additional relations Added by SK & VU 02-06-10
(COPYD ' ADDADDITIONALRELATIONS 'FACTALGADDITIONALRELATIONS)
(MAYBEAUTOADDRELATIONS)
(PREPARETOANICK)
(SETQ LENG (LENGTH files))
(COND ( (EQ LENG 0) ( FactAlgScreenInput) )
( (EQ LENG 1) (bnmCheckInput files) )
( (EQ LENG 2) (bnmCheckOutput files) (bnmCheckInput files) )
)
(COND (bnmOutFile (DOP bnmOutFile) )
(T (DEGREEOUTPREPARE))
)
(SETALGOUTMODE ALG)
%added by VU
(SETQ TMP (ADD1 (BMI!/ (GETINVARNO)2)))
(EVAL (LIST 'SETCHAINSTARTS TMP TMP))
%end added VU
(GROEBNERINIT)
% Here we do not want to add more additional relations
% Added by SK & VU 02-06-10
(COPYD 'ADDADDITIONALRELATIONS 'IBIDNOOPFCN)
(GROEBNERKERNEL)
(WARNINGIFFINITEGB)
))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Betii numbers for two modules. SK&VU 01-08-10 %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
(DF TWOMODBETTINUMBERS (files)
% (bnmInputFile bnmOutFile)
(PROG (!*USERMODE TMP1 TMP2)
(COND
((NOT (EQ (GETOBJECTTYPE) 'TWOMODULES))
(SETTWOMODULESOBJECT)
(TERPRI)
(PRIN2 "*** We turn on the TWOMODULES mode")
(TERPRI)))
(PREPARETOANICK)
(SETQ LENG (LENGTH files))
(COND ( (EQ LENG 0) (bnmScreenInput ))
( (EQ LENG 1) (bnmCheckInput files) )
( (EQ LENG 2) (bnmCheckOutput files) (bnmCheckInput files) ) )
(COND (bnmOutFile (DOP bnmOutFile))
(T (DEGREEOUTPREPARE)))
(SETALGOUTMODE ALG)
%added by VU%
(SETQ TMP2 (BMI!- (GETINVARNO) NLMODGEN))
(SETQ TMP1 (BMI!- TMP2 NRMODGEN)) % NALGEN
(EVAL (LIST 'SETCHAINSTARTS (ADD1 TMP1) TMP2))
(EVAL (LIST 'SETCHAINENDS 1 TMP1))
(EVAL (LIST 'SETLMODNORMALMONSTARTS 1 TMP1))
(EVAL (LIST 'SETLMODNORMALMONENDS (ADD1 TMP2) (GETINVARNO)))
%end adding
(GROEBNERINIT)
(GROEBNERKERNEL)
(WARNINGIFFINITEGB)
))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Hochschild homology calculations. SK&VU 02-06-10 %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
(DF HOCHSCHILD (files)
(PROG ( !*REDEFMSG !*USERMODE TMP1 TMP2)
(COND
((NOT (EQ (GETOBJECTTYPE) 'TWOMODULES))
(SETTWOMODULESOBJECT)
(TERPRI)
(PRIN2 "*** We turn on the TWOMODULES mode")
(TERPRI)))
(COND
((NOT !*PBSERIES)
(ON PBSERIES)
(TERPRI)
(PRIN2 "*** We turn on PBSERIES")
(TERPRI)))
% Added 2003-11-09/JoeB. If FACTALGADDITIONALRELATIONS is a
% self-loading macro, we cannot directly replace compiled
% calls to the EXPR ADDADDITIONALRELATIONS with calls to this
% macro, but should first perform that self-loading!
(LOADIFMACROS HOCHADDITIONALRELATIONS)
% Here we want to add additional relations
(COPYD ' ADDADDITIONALRELATIONS ' HOCHADDITIONALRELATIONS)
(MAYBEAUTOADDRELATIONS)
(PREPARETOANICK)
(SETQ LENG (LENGTH files))
(COND ( (EQ LENG 0) (HochScreenInput ))
( (EQ LENG 1) (bnmCheckInput files) )
( (EQ LENG 2) (bnmCheckOutput files) (bnmCheckInput files) ))
% Added 2003-11-05./JoeB
(COND ((NOT NRMODGEN) (SETQ NRMODGEN 1)))
(COND ((NOT NLMODGEN) (SETQ NLMODGEN 1)))
(COND (bnmOutFile (DOP bnmOutFile))
(T (DEGREEOUTPREPARE)))
(SETALGOUTMODE ALG)
%added by VU%
(SETQ TMP2 (BMI!- (GETINVARNO) NLMODGEN))
(SETQ TMP1 (BMI!- TMP2 NRMODGEN)) %NALGEN
(EVAL (LIST 'SETCHAINSTARTS (ADD1 TMP1) TMP2))
(EVAL (LIST 'SETCHAINENDS 1 TMP1))
(EVAL (LIST 'SETLMODNORMALMONSTARTS 1 TMP1))
(EVAL (LIST 'SETLMODNORMALMONENDS (ADD1 TMP2) (GETINVARNO)))
%end adding
(GROEBNERINIT)
% Here we do not want to add more additional relations
% Added by SK & VU 02-06-10
(COPYD 'ADDADDITIONALRELATIONS 'IBIDNOOPFCN)
(GROEBNERKERNEL)
(WARNINGIFFINITEGB)
))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Some debugging facilities (for the user). %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
(DF PRINTNEXT (u)
(PROG (!&!*CHWITHERR!# !&!*OLDCH!#)
(SETQ !&!*CHWITHERR!# (COND ((ATOM u) u)
((ATOM (CDR u)) (CDR u))
(T (CADR u))))
(COND ((NOT (FIXP !&!*CHWITHERR!#))
(SETQ !&!*CHWITHERR!# !&!*PRESENTCHAN!#)))
% Not so good: no error check!
(SETQ !&!*OLDCH!# (RDS !&!*CHWITHERR!#))
(PRINT (READ))
(RDS !&!*OLDCH!#) ))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Some abbreviations VU 020626 %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
(DE PREPARETOANICK ()
(PROGN (COND ((NOT !*AnickIsLoaded)
(LOAD ANICK)
(ON AnickIsLoaded)))
%Changed by SC&VU 16.06.2005 because
%if e.g. we (in this order) call ANICK,
% SETNORESOLUTION, and ANICK again, the second call
% to ANICK does not work. The reason is that only
% when the anick module is loaded the setup changes
% are made.
(SETRESOLUTIONTYPE ANICK)
(COND (!*STANDARDANICKMODES
(ONFLYBETTI T)))
(SETQ bnmScInput NIL)
(COND ((EQ (GETRINGTYPE) 'COMMUTATIVE)
(PRIN2 "*** We turn on noncommutativity")
(TERPRI)
(NONCOMMIFY)))
(COND
((NOT !*PBSERIES)
(ON PBSERIES)
(TERPRI)
(PRIN2 "*** We turn on PBSERIES")
(TERPRI)))
(OFF SAVERECVALUES)
))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Commutative Hilbert series computations. SC&VU 28.06.2002 %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
(DF HILBERT (files)
(PROG ( !*PBSERIES LENG)
(COMMIFY)
(SETQ HlbScInput NIL)
(SETQ LENG (LENGTH files))
(COND ( (EQ LENG 0) (HlbScreenInput ))
( (EQ LENG 1) (HlbCheckInput files) )
( (EQ LENG 3) (HlbCheckOutput files) (HlbCheckInput files) )
)
(SETALGOUTMODE ALG)
(COND (HlbGbFile (DOP HlbGbFile) )
(T (DEGREEOUTPREPARE))
)
(GROEBNERINIT)
(GROEBNERKERNEL)
(CALCRATHILBERTSERIES)
(SERIESPRINTING)
(GROEBNERFINISH)
)
)
%Empty procedure to do nothing
(DE NODISPLAY ()
)
%2 Procedures for checking files. Probably should be
% replaced or moved to another place. /ufn 2005-06-21
(DE RabbitCheckInput (file)
(COND ( (NOT (FILEP file) )
(PRIN2 "***Input files must exist") (TERPRI)
(PRIN2 "Input data from the keyboard") (TERPRI)
(SETRABBIT 0 1 100)
(ALGFORMINPUT)
)
(T
(DSKIN file)
)
)
)
(DE RabbitCheckOutput ( outputfile)
(COND ( (NOT (STRINGP outputfile))
(PRIN2 "***Incorrect output file.") (TERPRI)
(PRIN2 "Do you agree to use the file outf____.rab as output ?" )
(TERPRI)
(COND ((YESP "Type Yes or No")
(SETQ RabbitFile "outf____.rab")
)
(T
(PRIN2 "No output file. Program is canceled") (TERPRI)
(QUIT) %It should be changed after the implementation
%of new input-output files handling procedure
)
)
)
(T (SETQ Rabbitfile outputfile))
)
)
%Procedure to set parameters for RABBIT /ufn 2005-06-21
(DE SETRABBIT (start step finish)
(COND ((AND (FIXP start)(FIXP step) (FIXP finish))
(SETQ startdeg start)
(SETQ stepdeg step)
(SETQ finishdeg finish) )
(T (PRIN2 "Wrong parameters for RABBIT" )(TERPRI)(QUIT))
)
)
(DE PRINTRABBITSTEPS ()
(PROGN
(PRIN2 " steps: ")
(PRIN2 startdeg)(PRIN2 ",")
(PRIN2 stepdeg)(PRIN2 ",")
(PRIN2 finishdeg)(TERPRI))
)
% Procedure to calculate GB for nongraded algebras. VU & SC 02-07-11
% It works at follows: homogenize the input, calculate until maxdeg (which
% is startdeg in the beginning), cancels homogenizing variable if possible
% and jumps to the start again. When it is impossible to cancel it increase
% maxdeg by stepdeg and repeat the procedure until finishdeg will be
% achieved or finite GB will be obtained.
% Restrictions : no element of obtained GB should have degree 1 or 0.
% For debugging ON should be put in the text
% /ufn 2005-06-21
% New values for parameters: if 1 or 2 - they are files, if 3 - they are
% numbers used for SETRABBIT, if 0 parameters are 0,1, 20)
(DF RABBIT (parameters)
(PROG (LENG res GBOut tmp maxdeg jumps RabbCh
oldch oldded oldcdd !*debugging !*REDEFMSG)
(OFF GC)
(OFF debugging)
(COND ((NOT !*debugging)
(COPYD 'oldded 'DEGREEENDDISPLAY)
(COPYD 'DEGREEENDDISPLAY 'NODISPLAY)
(COND ((GETD 'CUSTCLEARCDEGDISPLAY)
(COPYD 'oldcdd 'CUSTCLEARCDEGDISPLAY)))
(COPYD 'CUSTCLEARCDEGDISPLAY 'NODISPLAY)
(ON CUSTSHOW)))
(SETSAFELOWTERMSHANDLING)
(SETQ jumps 0)
(SETRABBIT 0 1 20)
(SETALGOUTMODE ALG)
(NONCOMMIFY)
(OFF PBSERIES)
% (without parameters, it calculates to degree 20 maximum)
(SETQ LENG (LENGTH parameters))
(COND ( (EQ LENG 0) (PRIN2 "Degree limit is 20" )
(TERPRI)(ALGFORMINPUT))
( (EQ LENG 1) (RabbitCheckInput (CAR parameters) ) )
( (EQ LENG 2) (RabbitCheckOutput (CADR parameters))
(RabbitCheckInput (CAR parameters)) )
( (EQ LENG 3) (SETRABBIT (CAR parameters)
(CADR parameters)
(CADDR parameters))
(ALGFORMINPUT) )
( T (PRIN2 "Wrong number of parameters in RABBIT")
(TERPRI) (QUIT))
)
(SETQ deg startdeg)
(PRINTRABBITSTEPS)
(HOMOGENISEINPUT)
(COND ( !*debugging
(PRIN2 "Now write only variables with homogenising one and twice ;;")
(TERPRI)
(ALGFORMINPUT) ))
M (SETMAXDEG deg)
L (SETQ MinCancelingDegree (ADD1 deg))
(GI) (GK)
(COND (!*debugging (BO)))
(SETQ GBOut (OUTPUT2LISPPOLS))
%(PRIN2 "GBOut before cancelling=")(PRINT GBOut)(TERPRI)
(CancelInListPol GBOut)
%(PRIN2 "GBOut after cancelling=")(PRINT GBOut)(TERPRI)
(COND ((LESSP MinCancelingDegree (ADD1 deg))
(CLEARIDEAL)
(SETQ tmp (MAPCAR GBOut (FUNCTION LISPPOL2REDAND)))
(SETQ InPols (SortlPol tmp))
(SETQ jumps (ADD1 jumps))
(PRIN2 "RABBIT: Jump number ")(PRINT jumps)(TERPRI)
(GO L)))
% use that the last element has max degree
(SETQ maxdeg (DegreeLispPol (LASTCAR GBOut)))
(COND ((LESSP (PLUS2 maxdeg maxdeg) (PLUS2 deg 2))
(PRIN2 "GB is completely calculated")(TERPRI)
(GO Out)))
(SETQ deg (PLUS2 deg stepdeg ))
(COND ((LESSP deg (ADD1 finishdeg))
(CLEARIDEAL)
(SETQ InPols (SortlPol (MAPCAR GBOut (FUNCTION LISPPOL2REDAND))))
(SETQ jumps (ADD1 jumps))
(PRIN2 "RABBIT: Added step, Maxdegree=") (PRINT deg)
(PRIN2 " Jump number ")(PRINT jumps)(TERPRI)
(GO M)))
(PRIN2 "Calculation was stopped by maxdeg limitations")(TERPRI)
(PRIN2 "GB may be different")(TERPRI)
Out
(COND ((NOT !*debugging)
(COND ((GETD 'olcded)
(COPYD 'CUSTCLEARCDEGDISPLAY 'oldcdd)))
(COPYD 'DEGREEENDDISPLAY 'oldded))
(T (BO)))
(GF)
(SETQ res (DeHomogListofPol GBOut))
% (PRINT res)
(SETQ tmp(MAPCAR res (FUNCTION LISPPOL2REDAND)))
(PRIN2 "Rabbit has finishied jumping.")
(COND ( (EQ LENG 2)
(SETQ RabbCh (OPEN Rabbitfile 'OUTPUT))
(SETQ oldch (WRS RabbCh)))
(T (PRIN2 " GB is ") (TERPRI))
)
(MAPC tmp (FUNCTION REDANDALGOUT))
(COND ( (EQ LENG 2)
(FLUSHCHANNEL RabbCh)
(WRS oldch)
(CLOSE RabbCh)))
))
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