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|
(/VERSIONCHECK 2)
(DEFUN |PSETCAT-;elements| (|ps| $)
(PROG (|lp|)
(RETURN
(LETT |lp| (SPADCALL |ps| (|getShellEntry| $ 12))
|PSETCAT-;elements|))))
(DEFUN |PSETCAT-;variables1| (|lp| $)
(PROG (#0=#:G1435 |p| #1=#:G1436 |lvars|)
(RETURN
(SEQ (LETT |lvars|
(PROGN
(LETT #0# NIL |PSETCAT-;variables1|)
(SEQ (LETT |p| NIL |PSETCAT-;variables1|)
(LETT #1# |lp| |PSETCAT-;variables1|) G190
(COND
((OR (ATOM #1#)
(PROGN
(LETT |p| (CAR #1#)
|PSETCAT-;variables1|)
NIL))
(GO G191)))
(SEQ (EXIT (LETT #0#
(CONS
(SPADCALL |p|
(|getShellEntry| $ 14))
#0#)
|PSETCAT-;variables1|)))
(LETT #1# (CDR #1#) |PSETCAT-;variables1|)
(GO G190) G191 (EXIT (NREVERSE0 #0#))))
|PSETCAT-;variables1|)
(EXIT (SPADCALL (CONS #'|PSETCAT-;variables1!0| $)
(SPADCALL
(SPADCALL |lvars| (|getShellEntry| $ 18))
(|getShellEntry| $ 19))
(|getShellEntry| $ 21)))))))
(DEFUN |PSETCAT-;variables1!0| (|#1| |#2| $)
(SPADCALL |#2| |#1| (|getShellEntry| $ 16)))
(DEFUN |PSETCAT-;variables2| (|lp| $)
(PROG (#0=#:G1440 |p| #1=#:G1441 |lvars|)
(RETURN
(SEQ (LETT |lvars|
(PROGN
(LETT #0# NIL |PSETCAT-;variables2|)
(SEQ (LETT |p| NIL |PSETCAT-;variables2|)
(LETT #1# |lp| |PSETCAT-;variables2|) G190
(COND
((OR (ATOM #1#)
(PROGN
(LETT |p| (CAR #1#)
|PSETCAT-;variables2|)
NIL))
(GO G191)))
(SEQ (EXIT (LETT #0#
(CONS
(SPADCALL |p|
(|getShellEntry| $ 22))
#0#)
|PSETCAT-;variables2|)))
(LETT #1# (CDR #1#) |PSETCAT-;variables2|)
(GO G190) G191 (EXIT (NREVERSE0 #0#))))
|PSETCAT-;variables2|)
(EXIT (SPADCALL (CONS #'|PSETCAT-;variables2!0| $)
(SPADCALL |lvars| (|getShellEntry| $ 19))
(|getShellEntry| $ 21)))))))
(DEFUN |PSETCAT-;variables2!0| (|#1| |#2| $)
(SPADCALL |#2| |#1| (|getShellEntry| $ 16)))
(DEFUN |PSETCAT-;variables;SL;4| (|ps| $)
(|PSETCAT-;variables1| (|PSETCAT-;elements| |ps| $) $))
(DEFUN |PSETCAT-;mainVariables;SL;5| (|ps| $)
(|PSETCAT-;variables2|
(SPADCALL (ELT $ 24) (|PSETCAT-;elements| |ps| $)
(|getShellEntry| $ 26))
$))
(DEFUN |PSETCAT-;mainVariable?;VarSetSB;6| (|v| |ps| $)
(PROG (|lp|)
(RETURN
(SEQ (LETT |lp|
(SPADCALL (ELT $ 24) (|PSETCAT-;elements| |ps| $)
(|getShellEntry| $ 26))
|PSETCAT-;mainVariable?;VarSetSB;6|)
(SEQ G190
(COND
((NULL (COND
((NULL |lp|) 'NIL)
('T
(SPADCALL
(SPADCALL
(SPADCALL (|SPADfirst| |lp|)
(|getShellEntry| $ 22))
|v| (|getShellEntry| $ 28))
(|getShellEntry| $ 29)))))
(GO G191)))
(SEQ (EXIT (LETT |lp| (CDR |lp|)
|PSETCAT-;mainVariable?;VarSetSB;6|)))
NIL (GO G190) G191 (EXIT NIL))
(EXIT (SPADCALL (NULL |lp|) (|getShellEntry| $ 29)))))))
(DEFUN |PSETCAT-;collectUnder;SVarSetS;7| (|ps| |v| $)
(PROG (|p| |lp| |lq|)
(RETURN
(SEQ (LETT |lp| (|PSETCAT-;elements| |ps| $)
|PSETCAT-;collectUnder;SVarSetS;7|)
(LETT |lq| NIL |PSETCAT-;collectUnder;SVarSetS;7|)
(SEQ G190
(COND
((NULL (SPADCALL (NULL |lp|) (|getShellEntry| $ 29)))
(GO G191)))
(SEQ (LETT |p| (|SPADfirst| |lp|)
|PSETCAT-;collectUnder;SVarSetS;7|)
(LETT |lp| (CDR |lp|)
|PSETCAT-;collectUnder;SVarSetS;7|)
(EXIT (COND
((OR (SPADCALL |p| (|getShellEntry| $ 24))
(SPADCALL
(SPADCALL |p|
(|getShellEntry| $ 22))
|v| (|getShellEntry| $ 16)))
(LETT |lq| (CONS |p| |lq|)
|PSETCAT-;collectUnder;SVarSetS;7|)))))
NIL (GO G190) G191 (EXIT NIL))
(EXIT (SPADCALL |lq| (|getShellEntry| $ 31)))))))
(DEFUN |PSETCAT-;collectUpper;SVarSetS;8| (|ps| |v| $)
(PROG (|p| |lp| |lq|)
(RETURN
(SEQ (LETT |lp| (|PSETCAT-;elements| |ps| $)
|PSETCAT-;collectUpper;SVarSetS;8|)
(LETT |lq| NIL |PSETCAT-;collectUpper;SVarSetS;8|)
(SEQ G190
(COND
((NULL (SPADCALL (NULL |lp|) (|getShellEntry| $ 29)))
(GO G191)))
(SEQ (LETT |p| (|SPADfirst| |lp|)
|PSETCAT-;collectUpper;SVarSetS;8|)
(LETT |lp| (CDR |lp|)
|PSETCAT-;collectUpper;SVarSetS;8|)
(EXIT (COND
((NULL (SPADCALL |p|
(|getShellEntry| $ 24)))
(COND
((SPADCALL |v|
(SPADCALL |p|
(|getShellEntry| $ 22))
(|getShellEntry| $ 16))
(LETT |lq| (CONS |p| |lq|)
|PSETCAT-;collectUpper;SVarSetS;8|)))))))
NIL (GO G190) G191 (EXIT NIL))
(EXIT (SPADCALL |lq| (|getShellEntry| $ 31)))))))
(DEFUN |PSETCAT-;collect;SVarSetS;9| (|ps| |v| $)
(PROG (|p| |lp| |lq|)
(RETURN
(SEQ (LETT |lp| (|PSETCAT-;elements| |ps| $)
|PSETCAT-;collect;SVarSetS;9|)
(LETT |lq| NIL |PSETCAT-;collect;SVarSetS;9|)
(SEQ G190
(COND
((NULL (SPADCALL (NULL |lp|) (|getShellEntry| $ 29)))
(GO G191)))
(SEQ (LETT |p| (|SPADfirst| |lp|)
|PSETCAT-;collect;SVarSetS;9|)
(LETT |lp| (CDR |lp|)
|PSETCAT-;collect;SVarSetS;9|)
(EXIT (COND
((NULL (SPADCALL |p|
(|getShellEntry| $ 24)))
(COND
((SPADCALL
(SPADCALL |p|
(|getShellEntry| $ 22))
|v| (|getShellEntry| $ 28))
(LETT |lq| (CONS |p| |lq|)
|PSETCAT-;collect;SVarSetS;9|)))))))
NIL (GO G190) G191 (EXIT NIL))
(EXIT (SPADCALL |lq| (|getShellEntry| $ 31)))))))
(DEFUN |PSETCAT-;sort;SVarSetR;10| (|ps| |v| $)
(PROG (|p| |lp| |us| |vs| |ws|)
(RETURN
(SEQ (LETT |lp| (|PSETCAT-;elements| |ps| $)
|PSETCAT-;sort;SVarSetR;10|)
(LETT |us| NIL |PSETCAT-;sort;SVarSetR;10|)
(LETT |vs| NIL |PSETCAT-;sort;SVarSetR;10|)
(LETT |ws| NIL |PSETCAT-;sort;SVarSetR;10|)
(SEQ G190
(COND
((NULL (SPADCALL (NULL |lp|) (|getShellEntry| $ 29)))
(GO G191)))
(SEQ (LETT |p| (|SPADfirst| |lp|)
|PSETCAT-;sort;SVarSetR;10|)
(LETT |lp| (CDR |lp|) |PSETCAT-;sort;SVarSetR;10|)
(EXIT (COND
((OR (SPADCALL |p| (|getShellEntry| $ 24))
(SPADCALL
(SPADCALL |p|
(|getShellEntry| $ 22))
|v| (|getShellEntry| $ 16)))
(LETT |us| (CONS |p| |us|)
|PSETCAT-;sort;SVarSetR;10|))
((SPADCALL
(SPADCALL |p| (|getShellEntry| $ 22))
|v| (|getShellEntry| $ 28))
(LETT |vs| (CONS |p| |vs|)
|PSETCAT-;sort;SVarSetR;10|))
('T
(LETT |ws| (CONS |p| |ws|)
|PSETCAT-;sort;SVarSetR;10|)))))
NIL (GO G190) G191 (EXIT NIL))
(EXIT (VECTOR (SPADCALL |us| (|getShellEntry| $ 31))
(SPADCALL |vs| (|getShellEntry| $ 31))
(SPADCALL |ws| (|getShellEntry| $ 31))))))))
(DEFUN |PSETCAT-;=;2SB;11| (|ps1| |ps2| $)
(PROG (#0=#:G1475 #1=#:G1476 #2=#:G1477 |p| #3=#:G1478)
(RETURN
(SEQ (SPADCALL
(SPADCALL
(PROGN
(LETT #0# NIL |PSETCAT-;=;2SB;11|)
(SEQ (LETT |p| NIL |PSETCAT-;=;2SB;11|)
(LETT #1# (|PSETCAT-;elements| |ps1| $)
|PSETCAT-;=;2SB;11|)
G190
(COND
((OR (ATOM #1#)
(PROGN
(LETT |p| (CAR #1#)
|PSETCAT-;=;2SB;11|)
NIL))
(GO G191)))
(SEQ (EXIT (LETT #0# (CONS |p| #0#)
|PSETCAT-;=;2SB;11|)))
(LETT #1# (CDR #1#) |PSETCAT-;=;2SB;11|)
(GO G190) G191 (EXIT (NREVERSE0 #0#))))
(|getShellEntry| $ 38))
(SPADCALL
(PROGN
(LETT #2# NIL |PSETCAT-;=;2SB;11|)
(SEQ (LETT |p| NIL |PSETCAT-;=;2SB;11|)
(LETT #3# (|PSETCAT-;elements| |ps2| $)
|PSETCAT-;=;2SB;11|)
G190
(COND
((OR (ATOM #3#)
(PROGN
(LETT |p| (CAR #3#)
|PSETCAT-;=;2SB;11|)
NIL))
(GO G191)))
(SEQ (EXIT (LETT #2# (CONS |p| #2#)
|PSETCAT-;=;2SB;11|)))
(LETT #3# (CDR #3#) |PSETCAT-;=;2SB;11|)
(GO G190) G191 (EXIT (NREVERSE0 #2#))))
(|getShellEntry| $ 38))
(|getShellEntry| $ 39))))))
(DEFUN |PSETCAT-;localInf?| (|p| |q| $)
(SPADCALL (SPADCALL |p| (|getShellEntry| $ 41))
(SPADCALL |q| (|getShellEntry| $ 41)) (|getShellEntry| $ 42)))
(DEFUN |PSETCAT-;localTriangular?| (|lp| $)
(PROG (|q| |p|)
(RETURN
(SEQ (LETT |lp| (SPADCALL (ELT $ 43) |lp| (|getShellEntry| $ 26))
|PSETCAT-;localTriangular?|)
(EXIT (COND
((NULL |lp|) 'T)
((SPADCALL (ELT $ 24) |lp| (|getShellEntry| $ 44))
'NIL)
('T
(SEQ (LETT |lp|
(SPADCALL
(CONS
#'|PSETCAT-;localTriangular?!0| $)
|lp| (|getShellEntry| $ 46))
|PSETCAT-;localTriangular?|)
(LETT |p| (|SPADfirst| |lp|)
|PSETCAT-;localTriangular?|)
(LETT |lp| (CDR |lp|)
|PSETCAT-;localTriangular?|)
(SEQ G190
(COND
((NULL (COND
((NULL |lp|) 'NIL)
('T
(SPADCALL
(SPADCALL
(LETT |q|
(|SPADfirst| |lp|)
|PSETCAT-;localTriangular?|)
(|getShellEntry| $ 22))
(SPADCALL |p|
(|getShellEntry| $ 22))
(|getShellEntry| $ 16)))))
(GO G191)))
(SEQ (LETT |p| |q|
|PSETCAT-;localTriangular?|)
(EXIT
(LETT |lp| (CDR |lp|)
|PSETCAT-;localTriangular?|)))
NIL (GO G190) G191 (EXIT NIL))
(EXIT (NULL |lp|))))))))))
(DEFUN |PSETCAT-;localTriangular?!0| (|#1| |#2| $)
(SPADCALL (SPADCALL |#2| (|getShellEntry| $ 22))
(SPADCALL |#1| (|getShellEntry| $ 22)) (|getShellEntry| $ 16)))
(DEFUN |PSETCAT-;triangular?;SB;14| (|ps| $)
(|PSETCAT-;localTriangular?| (|PSETCAT-;elements| |ps| $) $))
(DEFUN |PSETCAT-;trivialIdeal?;SB;15| (|ps| $)
(NULL (SPADCALL (ELT $ 43) (|PSETCAT-;elements| |ps| $)
(|getShellEntry| $ 26))))
(DEFUN |PSETCAT-;roughUnitIdeal?;SB;16| (|ps| $)
(SPADCALL (ELT $ 24)
(SPADCALL (ELT $ 43) (|PSETCAT-;elements| |ps| $)
(|getShellEntry| $ 26))
(|getShellEntry| $ 44)))
(DEFUN |PSETCAT-;relativelyPrimeLeadingMonomials?| (|p| |q| $)
(PROG (|dp| |dq|)
(RETURN
(SEQ (LETT |dp| (SPADCALL |p| (|getShellEntry| $ 41))
|PSETCAT-;relativelyPrimeLeadingMonomials?|)
(LETT |dq| (SPADCALL |q| (|getShellEntry| $ 41))
|PSETCAT-;relativelyPrimeLeadingMonomials?|)
(EXIT (SPADCALL (SPADCALL |dp| |dq| (|getShellEntry| $ 50))
(SPADCALL |dp| |dq| (|getShellEntry| $ 51))
(|getShellEntry| $ 52)))))))
(DEFUN |PSETCAT-;roughBase?;SB;18| (|ps| $)
(PROG (|p| |lp| |rB?| |copylp|)
(RETURN
(SEQ (LETT |lp|
(SPADCALL (ELT $ 43) (|PSETCAT-;elements| |ps| $)
(|getShellEntry| $ 26))
|PSETCAT-;roughBase?;SB;18|)
(EXIT (COND
((NULL |lp|) 'T)
('T
(SEQ (LETT |rB?| 'T |PSETCAT-;roughBase?;SB;18|)
(SEQ G190
(COND
((NULL (COND
((NULL |lp|) 'NIL)
('T |rB?|)))
(GO G191)))
(SEQ (LETT |p| (|SPADfirst| |lp|)
|PSETCAT-;roughBase?;SB;18|)
(LETT |lp| (CDR |lp|)
|PSETCAT-;roughBase?;SB;18|)
(LETT |copylp| |lp|
|PSETCAT-;roughBase?;SB;18|)
(EXIT
(SEQ G190
(COND
((NULL
(COND
((NULL |copylp|) 'NIL)
('T |rB?|)))
(GO G191)))
(SEQ
(LETT |rB?|
(|PSETCAT-;relativelyPrimeLeadingMonomials?|
|p| (|SPADfirst| |copylp|) $)
|PSETCAT-;roughBase?;SB;18|)
(EXIT
(LETT |copylp| (CDR |copylp|)
|PSETCAT-;roughBase?;SB;18|)))
NIL (GO G190) G191 (EXIT NIL))))
NIL (GO G190) G191 (EXIT NIL))
(EXIT |rB?|)))))))))
(DEFUN |PSETCAT-;roughSubIdeal?;2SB;19| (|ps1| |ps2| $)
(PROG (|lp|)
(RETURN
(SEQ (LETT |lp|
(SPADCALL (|PSETCAT-;elements| |ps1| $) |ps2|
(|getShellEntry| $ 54))
|PSETCAT-;roughSubIdeal?;2SB;19|)
(EXIT (NULL (SPADCALL (ELT $ 43) |lp|
(|getShellEntry| $ 26))))))))
(DEFUN |PSETCAT-;roughEqualIdeals?;2SB;20| (|ps1| |ps2| $)
(COND
((SPADCALL |ps1| |ps2| (|getShellEntry| $ 56)) 'T)
((SPADCALL |ps1| |ps2| (|getShellEntry| $ 57))
(SPADCALL |ps2| |ps1| (|getShellEntry| $ 57)))
('T 'NIL)))
(DEFUN |PSETCAT-;exactQuo| (|r| |s| $)
(PROG (#0=#:G1510)
(RETURN
(COND
((|HasCategory| (|getShellEntry| $ 7) '(|EuclideanDomain|))
(SPADCALL |r| |s| (|getShellEntry| $ 59)))
('T
(PROG2 (LETT #0# (SPADCALL |r| |s| (|getShellEntry| $ 61))
|PSETCAT-;exactQuo|)
(QCDR #0#)
(|check-union| (QEQCAR #0# 0) (|getShellEntry| $ 7) #0#)))))))
(DEFUN |PSETCAT-;headRemainder;PSR;22| (|a| |ps| $)
(PROG (|lp1| |p| |e| |g| |#G45| |#G46| |lca| |lcp| |r| |lp2|)
(RETURN
(SEQ (LETT |lp1|
(SPADCALL (ELT $ 43) (|PSETCAT-;elements| |ps| $)
(|getShellEntry| $ 26))
|PSETCAT-;headRemainder;PSR;22|)
(EXIT (COND
((NULL |lp1|) (CONS |a| (|spadConstant| $ 62)))
((SPADCALL (ELT $ 24) |lp1| (|getShellEntry| $ 44))
(CONS (SPADCALL |a| (|getShellEntry| $ 63))
(|spadConstant| $ 62)))
('T
(SEQ (LETT |r| (|spadConstant| $ 62)
|PSETCAT-;headRemainder;PSR;22|)
(LETT |lp1|
(SPADCALL
(CONS
(|function| |PSETCAT-;localInf?|)
$)
(REVERSE
(|PSETCAT-;elements| |ps| $))
(|getShellEntry| $ 46))
|PSETCAT-;headRemainder;PSR;22|)
(LETT |lp2| |lp1|
|PSETCAT-;headRemainder;PSR;22|)
(SEQ G190
(COND
((NULL (COND
((SPADCALL |a|
(|getShellEntry| $ 43))
'NIL)
('T
(SPADCALL (NULL |lp2|)
(|getShellEntry| $ 29)))))
(GO G191)))
(SEQ (LETT |p| (|SPADfirst| |lp2|)
|PSETCAT-;headRemainder;PSR;22|)
(LETT |e|
(SPADCALL
(SPADCALL |a|
(|getShellEntry| $ 41))
(SPADCALL |p|
(|getShellEntry| $ 41))
(|getShellEntry| $ 64))
|PSETCAT-;headRemainder;PSR;22|)
(EXIT
(COND
((QEQCAR |e| 0)
(SEQ
(LETT |g|
(SPADCALL
(LETT |lca|
(SPADCALL |a|
(|getShellEntry| $ 65))
|PSETCAT-;headRemainder;PSR;22|)
(LETT |lcp|
(SPADCALL |p|
(|getShellEntry| $ 65))
|PSETCAT-;headRemainder;PSR;22|)
(|getShellEntry| $ 66))
|PSETCAT-;headRemainder;PSR;22|)
(PROGN
(LETT |#G45|
(|PSETCAT-;exactQuo| |lca|
|g| $)
|PSETCAT-;headRemainder;PSR;22|)
(LETT |#G46|
(|PSETCAT-;exactQuo| |lcp|
|g| $)
|PSETCAT-;headRemainder;PSR;22|)
(LETT |lca| |#G45|
|PSETCAT-;headRemainder;PSR;22|)
(LETT |lcp| |#G46|
|PSETCAT-;headRemainder;PSR;22|))
(LETT |a|
(SPADCALL
(SPADCALL |lcp|
(SPADCALL |a|
(|getShellEntry| $ 63))
(|getShellEntry| $ 67))
(SPADCALL
(SPADCALL |lca| (QCDR |e|)
(|getShellEntry| $ 68))
(SPADCALL |p|
(|getShellEntry| $ 63))
(|getShellEntry| $ 69))
(|getShellEntry| $ 70))
|PSETCAT-;headRemainder;PSR;22|)
(LETT |r|
(SPADCALL |r| |lcp|
(|getShellEntry| $ 71))
|PSETCAT-;headRemainder;PSR;22|)
(EXIT
(LETT |lp2| |lp1|
|PSETCAT-;headRemainder;PSR;22|))))
('T
(LETT |lp2| (CDR |lp2|)
|PSETCAT-;headRemainder;PSR;22|)))))
NIL (GO G190) G191 (EXIT NIL))
(EXIT (CONS |a| |r|))))))))))
(DEFUN |PSETCAT-;makeIrreducible!| (|frac| $)
(PROG (|g|)
(RETURN
(SEQ (LETT |g|
(SPADCALL (QCDR |frac|) (QCAR |frac|)
(|getShellEntry| $ 74))
|PSETCAT-;makeIrreducible!|)
(EXIT (COND
((SPADCALL |g| (|spadConstant| $ 62)
(|getShellEntry| $ 76))
|frac|)
('T
(SEQ (PROGN
(RPLACA |frac|
(SPADCALL (QCAR |frac|) |g|
(|getShellEntry| $ 77)))
(QCAR |frac|))
(PROGN
(RPLACD |frac|
(|PSETCAT-;exactQuo| (QCDR |frac|)
|g| $))
(QCDR |frac|))
(EXIT |frac|)))))))))
(DEFUN |PSETCAT-;remainder;PSR;24| (|a| |ps| $)
(PROG (|hRa| |r| |lca| |g| |b| |c|)
(RETURN
(SEQ (LETT |hRa|
(|PSETCAT-;makeIrreducible!|
(SPADCALL |a| |ps| (|getShellEntry| $ 78)) $)
|PSETCAT-;remainder;PSR;24|)
(LETT |a| (QCAR |hRa|) |PSETCAT-;remainder;PSR;24|)
(LETT |r| (QCDR |hRa|) |PSETCAT-;remainder;PSR;24|)
(EXIT (COND
((SPADCALL |a| (|getShellEntry| $ 43))
(VECTOR (|spadConstant| $ 62) |a| |r|))
('T
(SEQ (LETT |b|
(SPADCALL (|spadConstant| $ 62)
(SPADCALL |a|
(|getShellEntry| $ 41))
(|getShellEntry| $ 68))
|PSETCAT-;remainder;PSR;24|)
(LETT |c|
(SPADCALL |a| (|getShellEntry| $ 65))
|PSETCAT-;remainder;PSR;24|)
(SEQ G190
(COND
((NULL (SPADCALL
(SPADCALL
(LETT |a|
(SPADCALL |a|
(|getShellEntry| $ 63))
|PSETCAT-;remainder;PSR;24|)
(|getShellEntry| $ 43))
(|getShellEntry| $ 29)))
(GO G191)))
(SEQ (LETT |hRa|
(|PSETCAT-;makeIrreducible!|
(SPADCALL |a| |ps|
(|getShellEntry| $ 78))
$)
|PSETCAT-;remainder;PSR;24|)
(LETT |a| (QCAR |hRa|)
|PSETCAT-;remainder;PSR;24|)
(LETT |r|
(SPADCALL |r| (QCDR |hRa|)
(|getShellEntry| $ 71))
|PSETCAT-;remainder;PSR;24|)
(LETT |g|
(SPADCALL |c|
(LETT |lca|
(SPADCALL |a|
(|getShellEntry| $ 65))
|PSETCAT-;remainder;PSR;24|)
(|getShellEntry| $ 66))
|PSETCAT-;remainder;PSR;24|)
(LETT |b|
(SPADCALL
(SPADCALL
(SPADCALL (QCDR |hRa|)
(|PSETCAT-;exactQuo| |c| |g| $)
(|getShellEntry| $ 71))
|b| (|getShellEntry| $ 67))
(SPADCALL
(|PSETCAT-;exactQuo| |lca| |g| $)
(SPADCALL |a|
(|getShellEntry| $ 41))
(|getShellEntry| $ 68))
(|getShellEntry| $ 79))
|PSETCAT-;remainder;PSR;24|)
(EXIT
(LETT |c| |g|
|PSETCAT-;remainder;PSR;24|)))
NIL (GO G190) G191 (EXIT NIL))
(EXIT (VECTOR |c| |b| |r|))))))))))
(DEFUN |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25| (|ps| |cs| $)
(PROG (|p| |rs|)
(RETURN
(SEQ (COND
((SPADCALL |cs| (|getShellEntry| $ 82)) |ps|)
((SPADCALL |cs| (|getShellEntry| $ 83))
(LIST (|spadConstant| $ 84)))
('T
(SEQ (LETT |ps|
(SPADCALL (ELT $ 43) |ps|
(|getShellEntry| $ 26))
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|)
(EXIT (COND
((NULL |ps|) |ps|)
((SPADCALL (ELT $ 24) |ps|
(|getShellEntry| $ 44))
(LIST (|spadConstant| $ 75)))
('T
(SEQ (LETT |rs| NIL
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|)
(SEQ G190
(COND
((NULL
(SPADCALL (NULL |ps|)
(|getShellEntry| $ 29)))
(GO G191)))
(SEQ
(LETT |p| (|SPADfirst| |ps|)
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|)
(LETT |ps| (CDR |ps|)
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|)
(LETT |p|
(QCAR
(SPADCALL |p| |cs|
(|getShellEntry| $ 78)))
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|)
(EXIT
(COND
((NULL
(SPADCALL |p|
(|getShellEntry| $ 43)))
(COND
((SPADCALL |p|
(|getShellEntry| $ 24))
(SEQ
(LETT |ps| NIL
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|)
(EXIT
(LETT |rs|
(LIST
(|spadConstant| $ 75))
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|))))
('T
(SEQ
(SPADCALL |p|
(|getShellEntry| $ 85))
(EXIT
(LETT |rs|
(CONS |p| |rs|)
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|)))))))))
NIL (GO G190) G191 (EXIT NIL))
(EXIT (SPADCALL |rs|
(|getShellEntry| $ 86))))))))))))))
(DEFUN |PSETCAT-;rewriteIdealWithRemainder;LSL;26| (|ps| |cs| $)
(PROG (|p| |rs|)
(RETURN
(SEQ (COND
((SPADCALL |cs| (|getShellEntry| $ 82)) |ps|)
((SPADCALL |cs| (|getShellEntry| $ 83))
(LIST (|spadConstant| $ 84)))
('T
(SEQ (LETT |ps|
(SPADCALL (ELT $ 43) |ps|
(|getShellEntry| $ 26))
|PSETCAT-;rewriteIdealWithRemainder;LSL;26|)
(EXIT (COND
((NULL |ps|) |ps|)
((SPADCALL (ELT $ 24) |ps|
(|getShellEntry| $ 44))
(LIST (|spadConstant| $ 75)))
('T
(SEQ (LETT |rs| NIL
|PSETCAT-;rewriteIdealWithRemainder;LSL;26|)
(SEQ G190
(COND
((NULL
(SPADCALL (NULL |ps|)
(|getShellEntry| $ 29)))
(GO G191)))
(SEQ
(LETT |p| (|SPADfirst| |ps|)
|PSETCAT-;rewriteIdealWithRemainder;LSL;26|)
(LETT |ps| (CDR |ps|)
|PSETCAT-;rewriteIdealWithRemainder;LSL;26|)
(LETT |p|
(QVELT
(SPADCALL |p| |cs|
(|getShellEntry| $ 88))
1)
|PSETCAT-;rewriteIdealWithRemainder;LSL;26|)
(EXIT
(COND
((NULL
(SPADCALL |p|
(|getShellEntry| $ 43)))
(COND
((SPADCALL |p|
(|getShellEntry| $ 24))
(SEQ
(LETT |ps| NIL
|PSETCAT-;rewriteIdealWithRemainder;LSL;26|)
(EXIT
(LETT |rs|
(LIST
(|spadConstant| $ 75))
|PSETCAT-;rewriteIdealWithRemainder;LSL;26|))))
('T
(LETT |rs|
(CONS
(SPADCALL |p|
(|getShellEntry| $ 89))
|rs|)
|PSETCAT-;rewriteIdealWithRemainder;LSL;26|)))))))
NIL (GO G190) G191 (EXIT NIL))
(EXIT (SPADCALL |rs|
(|getShellEntry| $ 86))))))))))))))
(DEFUN |PolynomialSetCategory&| (|#1| |#2| |#3| |#4| |#5|)
(PROG (|dv$1| |dv$2| |dv$3| |dv$4| |dv$5| |dv$| $ |pv$|)
(RETURN
(PROGN
(LETT |dv$1| (|devaluate| |#1|)
. #0=(|PolynomialSetCategory&|))
(LETT |dv$2| (|devaluate| |#2|) . #0#)
(LETT |dv$3| (|devaluate| |#3|) . #0#)
(LETT |dv$4| (|devaluate| |#4|) . #0#)
(LETT |dv$5| (|devaluate| |#5|) . #0#)
(LETT |dv$|
(LIST '|PolynomialSetCategory&| |dv$1| |dv$2| |dv$3|
|dv$4| |dv$5|) . #0#)
(LETT $ (|newShell| 91) . #0#)
(|setShellEntry| $ 0 |dv$|)
(|setShellEntry| $ 3
(LETT |pv$|
(|buildPredVector| 0 0
(LIST (|HasCategory| |#2| '(|IntegralDomain|)))) . #0#))
(|stuffDomainSlots| $)
(|setShellEntry| $ 6 |#1|)
(|setShellEntry| $ 7 |#2|)
(|setShellEntry| $ 8 |#3|)
(|setShellEntry| $ 9 |#4|)
(|setShellEntry| $ 10 |#5|)
(COND
((|testBitVector| |pv$| 1)
(PROGN
(|setShellEntry| $ 49
(CONS (|dispatchFunction|
|PSETCAT-;roughUnitIdeal?;SB;16|)
$))
(|setShellEntry| $ 53
(CONS (|dispatchFunction| |PSETCAT-;roughBase?;SB;18|)
$))
(|setShellEntry| $ 55
(CONS (|dispatchFunction|
|PSETCAT-;roughSubIdeal?;2SB;19|)
$))
(|setShellEntry| $ 58
(CONS (|dispatchFunction|
|PSETCAT-;roughEqualIdeals?;2SB;20|)
$)))))
(COND
((|HasCategory| |#2| '(|GcdDomain|))
(COND
((|HasCategory| |#4| '(|ConvertibleTo| (|Symbol|)))
(PROGN
(|setShellEntry| $ 73
(CONS (|dispatchFunction|
|PSETCAT-;headRemainder;PSR;22|)
$))
(|setShellEntry| $ 81
(CONS (|dispatchFunction|
|PSETCAT-;remainder;PSR;24|)
$))
(|setShellEntry| $ 87
(CONS (|dispatchFunction|
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|)
$))
(|setShellEntry| $ 90
(CONS (|dispatchFunction|
|PSETCAT-;rewriteIdealWithRemainder;LSL;26|)
$)))))))
$))))
(MAKEPROP '|PolynomialSetCategory&| '|infovec|
(LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|)
(|local| |#3|) (|local| |#4|) (|local| |#5|) (|List| 10)
(0 . |members|) (|List| 9) (5 . |variables|) (|Boolean|)
(10 . <) (|List| $) (16 . |concat|)
(21 . |removeDuplicates|) (|Mapping| 15 9 9) (26 . |sort|)
(32 . |mvar|) |PSETCAT-;variables;SL;4| (37 . |ground?|)
(|Mapping| 15 10) (42 . |remove|)
|PSETCAT-;mainVariables;SL;5| (48 . =) (54 . |not|)
|PSETCAT-;mainVariable?;VarSetSB;6| (59 . |construct|)
|PSETCAT-;collectUnder;SVarSetS;7|
|PSETCAT-;collectUpper;SVarSetS;8|
|PSETCAT-;collect;SVarSetS;9|
(|Record| (|:| |under| $) (|:| |floor| $) (|:| |upper| $))
|PSETCAT-;sort;SVarSetR;10| (|Set| 10) (64 . |brace|)
(69 . =) |PSETCAT-;=;2SB;11| (75 . |degree|) (80 . <)
(86 . |zero?|) (91 . |any?|) (|Mapping| 15 10 10)
(97 . |sort|) |PSETCAT-;triangular?;SB;14|
|PSETCAT-;trivialIdeal?;SB;15| (103 . |roughUnitIdeal?|)
(108 . |sup|) (114 . +) (120 . =) (126 . |roughBase?|)
(131 . |rewriteIdealWithRemainder|)
(137 . |roughSubIdeal?|) (143 . =)
(149 . |roughSubIdeal?|) (155 . |roughEqualIdeals?|)
(161 . |quo|) (|Union| $ '"failed") (167 . |exquo|)
(173 . |One|) (177 . |reductum|) (182 . |subtractIfCan|)
(188 . |leadingCoefficient|) (193 . |gcd|) (199 . *)
(205 . |monomial|) (211 . *) (217 . -) (223 . *)
(|Record| (|:| |num| 10) (|:| |den| 7))
(229 . |headRemainder|) (235 . |gcd|) (241 . |One|)
(245 . =) (251 . |exactQuotient!|) (257 . |headRemainder|)
(263 . +)
(|Record| (|:| |rnum| 7) (|:| |polnum| 10) (|:| |den| 7))
(269 . |remainder|) (275 . |trivialIdeal?|)
(280 . |roughUnitIdeal?|) (285 . |Zero|)
(289 . |primitivePart!|) (294 . |removeDuplicates|)
(299 . |rewriteIdealWithHeadRemainder|)
(305 . |remainder|) (311 . |unitCanonical|)
(316 . |rewriteIdealWithRemainder|))
'#(|variables| 322 |trivialIdeal?| 327 |triangular?| 332
|sort| 337 |roughUnitIdeal?| 343 |roughSubIdeal?| 348
|roughEqualIdeals?| 354 |roughBase?| 360
|rewriteIdealWithRemainder| 365
|rewriteIdealWithHeadRemainder| 371 |remainder| 377
|mainVariables| 383 |mainVariable?| 388 |headRemainder|
394 |collectUpper| 400 |collectUnder| 406 |collect| 412 =
418)
'NIL
(CONS (|makeByteWordVec2| 1 'NIL)
(CONS '#()
(CONS '#()
(|makeByteWordVec2| 90
'(1 6 11 0 12 1 10 13 0 14 2 9 15 0 0
16 1 13 0 17 18 1 13 0 0 19 2 13 0 20
0 21 1 10 9 0 22 1 10 15 0 24 2 11 0
25 0 26 2 9 15 0 0 28 1 15 0 0 29 1 6
0 11 31 1 37 0 11 38 2 37 15 0 0 39 1
10 8 0 41 2 8 15 0 0 42 1 10 15 0 43
2 11 15 25 0 44 2 11 0 45 0 46 1 0 15
0 49 2 8 0 0 0 50 2 8 0 0 0 51 2 8 15
0 0 52 1 0 15 0 53 2 6 11 11 0 54 2 0
15 0 0 55 2 6 15 0 0 56 2 6 15 0 0 57
2 0 15 0 0 58 2 7 0 0 0 59 2 7 60 0 0
61 0 7 0 62 1 10 0 0 63 2 8 60 0 0 64
1 10 7 0 65 2 7 0 0 0 66 2 10 0 7 0
67 2 10 0 7 8 68 2 10 0 0 0 69 2 10 0
0 0 70 2 7 0 0 0 71 2 0 72 10 0 73 2
10 7 7 0 74 0 10 0 75 2 7 15 0 0 76 2
10 0 0 7 77 2 6 72 10 0 78 2 10 0 0 0
79 2 0 80 10 0 81 1 6 15 0 82 1 6 15
0 83 0 10 0 84 1 10 0 0 85 1 11 0 0
86 2 0 11 11 0 87 2 6 80 10 0 88 1 10
0 0 89 2 0 11 11 0 90 1 0 13 0 23 1 0
15 0 48 1 0 15 0 47 2 0 35 0 9 36 1 0
15 0 49 2 0 15 0 0 55 2 0 15 0 0 58 1
0 15 0 53 2 0 11 11 0 90 2 0 11 11 0
87 2 0 80 10 0 81 1 0 13 0 27 2 0 15
9 0 30 2 0 72 10 0 73 2 0 0 0 9 33 2
0 0 0 9 32 2 0 0 0 9 34 2 0 15 0 0
40)))))
'|lookupComplete|))
|
