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|
(/VERSIONCHECK 2)
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%List|)
|PSETCAT-;elements|))
(DECLAIM (FTYPE (FUNCTION (|%List| |%Shell|) |%List|)
|PSETCAT-;variables1|))
(DECLAIM (FTYPE (FUNCTION (|%List| |%Shell|) |%List|)
|PSETCAT-;variables2|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%List|)
|PSETCAT-;variables;SL;4|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%List|)
|PSETCAT-;mainVariables;SL;5|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Boolean|)
|PSETCAT-;mainVariable?;VarSetSB;6|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
|PSETCAT-;collectUnder;SVarSetS;7|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
|PSETCAT-;collectUpper;SVarSetS;8|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
|PSETCAT-;collect;SVarSetS;9|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Shell|)
|PSETCAT-;sort;SVarSetR;10|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Boolean|)
|PSETCAT-;=;2SB;11|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Boolean|)
|PSETCAT-;localInf?|))
(DECLAIM (FTYPE (FUNCTION (|%List| |%Shell|) |%Boolean|)
|PSETCAT-;localTriangular?|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Boolean|)
|PSETCAT-;triangular?;SB;14|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Boolean|)
|PSETCAT-;trivialIdeal?;SB;15|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Boolean|)
|PSETCAT-;roughUnitIdeal?;SB;16|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Boolean|)
|PSETCAT-;relativelyPrimeLeadingMonomials?|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Boolean|)
|PSETCAT-;roughBase?;SB;18|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Boolean|)
|PSETCAT-;roughSubIdeal?;2SB;19|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Boolean|)
|PSETCAT-;roughEqualIdeals?;2SB;20|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
|PSETCAT-;exactQuo|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Pair|)
|PSETCAT-;headRemainder;PSR;22|))
(DECLAIM (FTYPE (FUNCTION (|%Pair| |%Shell|) |%Pair|)
|PSETCAT-;makeIrreducible!|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Shell|)
|PSETCAT-;remainder;PSR;24|))
(DECLAIM (FTYPE (FUNCTION (|%List| |%Thing| |%Shell|) |%List|)
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|))
(DECLAIM (FTYPE (FUNCTION (|%List| |%Thing| |%Shell|) |%List|)
|PSETCAT-;rewriteIdealWithRemainder;LSL;26|))
(DEFUN |PSETCAT-;elements| (|ps| $)
(PROG (|lp|)
(RETURN
(LETT |lp| (SPADCALL |ps| (|getShellEntry| $ 12))
|PSETCAT-;elements|))))
(DEFUN |PSETCAT-;variables1| (|lp| $)
(PROG (#0=#:G1559 |p| #1=#:G1560 |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=#:G1561 |p| #1=#:G1562 |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
(NOT (SPADCALL
(SPADCALL (|SPADfirst| |lp|)
(|getShellEntry| $ 22))
|v| (|getShellEntry| $ 28))))))
(GO G191)))
(SEQ (EXIT (LETT |lp| (CDR |lp|)
|PSETCAT-;mainVariable?;VarSetSB;6|)))
NIL (GO G190) G191 (EXIT NIL))
(EXIT (NOT (NULL |lp|)))))))
(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 (NOT (NULL |lp|))) (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| $ 30)))))))
(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 (NOT (NULL |lp|))) (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| $ 30)))))))
(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 (NOT (NULL |lp|))) (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| $ 30)))))))
(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 (NOT (NULL |lp|))) (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| $ 30))
(SPADCALL |vs| (|getShellEntry| $ 30))
(SPADCALL |ws| (|getShellEntry| $ 30))))))))
(DEFUN |PSETCAT-;=;2SB;11| (|ps1| |ps2| $)
(PROG (#0=#:G1563 #1=#:G1564 #2=#:G1565 |p| #3=#:G1566)
(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| $ 37))
(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| $ 37))
(|getShellEntry| $ 38))))))
(DEFUN |PSETCAT-;localInf?| (|p| |q| $)
(SPADCALL (SPADCALL |p| (|getShellEntry| $ 40))
(SPADCALL |q| (|getShellEntry| $ 40)) (|getShellEntry| $ 41)))
(DEFUN |PSETCAT-;localTriangular?| (|lp| $)
(PROG (|q| |p|)
(RETURN
(SEQ (LETT |lp| (SPADCALL (ELT $ 42) |lp| (|getShellEntry| $ 26))
|PSETCAT-;localTriangular?|)
(EXIT (COND
((NULL |lp|) 'T)
((SPADCALL (ELT $ 24) |lp| (|getShellEntry| $ 43))
'NIL)
('T
(SEQ (LETT |lp|
(SPADCALL
(CONS
#'|PSETCAT-;localTriangular?!0| $)
|lp| (|getShellEntry| $ 45))
|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 $ 42) (|PSETCAT-;elements| |ps| $)
(|getShellEntry| $ 26))))
(DEFUN |PSETCAT-;roughUnitIdeal?;SB;16| (|ps| $)
(SPADCALL (ELT $ 24)
(SPADCALL (ELT $ 42) (|PSETCAT-;elements| |ps| $)
(|getShellEntry| $ 26))
(|getShellEntry| $ 43)))
(DEFUN |PSETCAT-;relativelyPrimeLeadingMonomials?| (|p| |q| $)
(PROG (|dp| |dq|)
(RETURN
(SEQ (LETT |dp| (SPADCALL |p| (|getShellEntry| $ 40))
|PSETCAT-;relativelyPrimeLeadingMonomials?|)
(LETT |dq| (SPADCALL |q| (|getShellEntry| $ 40))
|PSETCAT-;relativelyPrimeLeadingMonomials?|)
(EXIT (SPADCALL (SPADCALL |dp| |dq| (|getShellEntry| $ 49))
(SPADCALL |dp| |dq| (|getShellEntry| $ 50))
(|getShellEntry| $ 51)))))))
(DEFUN |PSETCAT-;roughBase?;SB;18| (|ps| $)
(PROG (|p| |lp| |rB?| |copylp|)
(RETURN
(SEQ (LETT |lp|
(SPADCALL (ELT $ 42) (|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| $ 53))
|PSETCAT-;roughSubIdeal?;2SB;19|)
(EXIT (NULL (SPADCALL (ELT $ 42) |lp|
(|getShellEntry| $ 26))))))))
(DEFUN |PSETCAT-;roughEqualIdeals?;2SB;20| (|ps1| |ps2| $)
(COND
((SPADCALL |ps1| |ps2| (|getShellEntry| $ 55)) 'T)
((SPADCALL |ps1| |ps2| (|getShellEntry| $ 56))
(SPADCALL |ps2| |ps1| (|getShellEntry| $ 56)))
('T 'NIL)))
(DEFUN |PSETCAT-;exactQuo| (|r| |s| $)
(PROG (#0=#:G1508)
(RETURN
(COND
((|HasCategory| (|getShellEntry| $ 7) '(|EuclideanDomain|))
(SPADCALL |r| |s| (|getShellEntry| $ 58)))
('T
(PROG2 (LETT #0# (SPADCALL |r| |s| (|getShellEntry| $ 60))
|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 $ 42) (|PSETCAT-;elements| |ps| $)
(|getShellEntry| $ 26))
|PSETCAT-;headRemainder;PSR;22|)
(EXIT (COND
((NULL |lp1|) (CONS |a| (|spadConstant| $ 61)))
((SPADCALL (ELT $ 24) |lp1| (|getShellEntry| $ 43))
(CONS (SPADCALL |a| (|getShellEntry| $ 62))
(|spadConstant| $ 61)))
('T
(SEQ (LETT |r| (|spadConstant| $ 61)
|PSETCAT-;headRemainder;PSR;22|)
(LETT |lp1|
(SPADCALL
(CONS
(|function| |PSETCAT-;localInf?|)
$)
(REVERSE
(|PSETCAT-;elements| |ps| $))
(|getShellEntry| $ 45))
|PSETCAT-;headRemainder;PSR;22|)
(LETT |lp2| |lp1|
|PSETCAT-;headRemainder;PSR;22|)
(SEQ G190
(COND
((NULL (COND
((SPADCALL |a|
(|getShellEntry| $ 42))
'NIL)
('T (NOT (NULL |lp2|)))))
(GO G191)))
(SEQ (LETT |p| (|SPADfirst| |lp2|)
|PSETCAT-;headRemainder;PSR;22|)
(LETT |e|
(SPADCALL
(SPADCALL |a|
(|getShellEntry| $ 40))
(SPADCALL |p|
(|getShellEntry| $ 40))
(|getShellEntry| $ 63))
|PSETCAT-;headRemainder;PSR;22|)
(EXIT
(COND
((QEQCAR |e| 0)
(SEQ
(LETT |g|
(SPADCALL
(LETT |lca|
(SPADCALL |a|
(|getShellEntry| $ 64))
|PSETCAT-;headRemainder;PSR;22|)
(LETT |lcp|
(SPADCALL |p|
(|getShellEntry| $ 64))
|PSETCAT-;headRemainder;PSR;22|)
(|getShellEntry| $ 65))
|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| $ 62))
(|getShellEntry| $ 66))
(SPADCALL
(SPADCALL |lca| (QCDR |e|)
(|getShellEntry| $ 67))
(SPADCALL |p|
(|getShellEntry| $ 62))
(|getShellEntry| $ 68))
(|getShellEntry| $ 69))
|PSETCAT-;headRemainder;PSR;22|)
(LETT |r|
(SPADCALL |r| |lcp|
(|getShellEntry| $ 70))
|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| $ 73))
|PSETCAT-;makeIrreducible!|)
(EXIT (COND
((SPADCALL |g| (|spadConstant| $ 61)
(|getShellEntry| $ 75))
|frac|)
('T
(SEQ (PROGN
(RPLACA |frac|
(SPADCALL (QCAR |frac|) |g|
(|getShellEntry| $ 76)))
(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| $ 77)) $)
|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| $ 42))
(VECTOR (|spadConstant| $ 61) |a| |r|))
('T
(SEQ (LETT |b|
(SPADCALL (|spadConstant| $ 61)
(SPADCALL |a|
(|getShellEntry| $ 40))
(|getShellEntry| $ 67))
|PSETCAT-;remainder;PSR;24|)
(LETT |c|
(SPADCALL |a| (|getShellEntry| $ 64))
|PSETCAT-;remainder;PSR;24|)
(SEQ G190
(COND
((NULL (NOT
(SPADCALL
(LETT |a|
(SPADCALL |a|
(|getShellEntry| $ 62))
|PSETCAT-;remainder;PSR;24|)
(|getShellEntry| $ 42))))
(GO G191)))
(SEQ (LETT |hRa|
(|PSETCAT-;makeIrreducible!|
(SPADCALL |a| |ps|
(|getShellEntry| $ 77))
$)
|PSETCAT-;remainder;PSR;24|)
(LETT |a| (QCAR |hRa|)
|PSETCAT-;remainder;PSR;24|)
(LETT |r|
(SPADCALL |r| (QCDR |hRa|)
(|getShellEntry| $ 70))
|PSETCAT-;remainder;PSR;24|)
(LETT |g|
(SPADCALL |c|
(LETT |lca|
(SPADCALL |a|
(|getShellEntry| $ 64))
|PSETCAT-;remainder;PSR;24|)
(|getShellEntry| $ 65))
|PSETCAT-;remainder;PSR;24|)
(LETT |b|
(SPADCALL
(SPADCALL
(SPADCALL (QCDR |hRa|)
(|PSETCAT-;exactQuo| |c| |g| $)
(|getShellEntry| $ 70))
|b| (|getShellEntry| $ 66))
(SPADCALL
(|PSETCAT-;exactQuo| |lca| |g| $)
(SPADCALL |a|
(|getShellEntry| $ 40))
(|getShellEntry| $ 67))
(|getShellEntry| $ 78))
|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| $ 81)) |ps|)
((SPADCALL |cs| (|getShellEntry| $ 82))
(LIST (|spadConstant| $ 83)))
('T
(SEQ (LETT |ps|
(SPADCALL (ELT $ 42) |ps|
(|getShellEntry| $ 26))
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|)
(EXIT (COND
((NULL |ps|) |ps|)
((SPADCALL (ELT $ 24) |ps|
(|getShellEntry| $ 43))
(LIST (|spadConstant| $ 74)))
('T
(SEQ (LETT |rs| NIL
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|)
(SEQ G190
(COND
((NULL (NOT (NULL |ps|)))
(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| $ 77)))
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|)
(EXIT
(COND
((NULL
(SPADCALL |p|
(|getShellEntry| $ 42)))
(COND
((SPADCALL |p|
(|getShellEntry| $ 24))
(SEQ
(LETT |ps| NIL
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|)
(EXIT
(LETT |rs|
(LIST
(|spadConstant| $ 74))
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|))))
('T
(SEQ
(SPADCALL |p|
(|getShellEntry| $ 84))
(EXIT
(LETT |rs|
(CONS |p| |rs|)
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|)))))))))
NIL (GO G190) G191 (EXIT NIL))
(EXIT (SPADCALL |rs|
(|getShellEntry| $ 85))))))))))))))
(DEFUN |PSETCAT-;rewriteIdealWithRemainder;LSL;26| (|ps| |cs| $)
(PROG (|p| |rs|)
(RETURN
(SEQ (COND
((SPADCALL |cs| (|getShellEntry| $ 81)) |ps|)
((SPADCALL |cs| (|getShellEntry| $ 82))
(LIST (|spadConstant| $ 83)))
('T
(SEQ (LETT |ps|
(SPADCALL (ELT $ 42) |ps|
(|getShellEntry| $ 26))
|PSETCAT-;rewriteIdealWithRemainder;LSL;26|)
(EXIT (COND
((NULL |ps|) |ps|)
((SPADCALL (ELT $ 24) |ps|
(|getShellEntry| $ 43))
(LIST (|spadConstant| $ 74)))
('T
(SEQ (LETT |rs| NIL
|PSETCAT-;rewriteIdealWithRemainder;LSL;26|)
(SEQ G190
(COND
((NULL (NOT (NULL |ps|)))
(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| $ 87))
1)
|PSETCAT-;rewriteIdealWithRemainder;LSL;26|)
(EXIT
(COND
((NULL
(SPADCALL |p|
(|getShellEntry| $ 42)))
(COND
((SPADCALL |p|
(|getShellEntry| $ 24))
(SEQ
(LETT |ps| NIL
|PSETCAT-;rewriteIdealWithRemainder;LSL;26|)
(EXIT
(LETT |rs|
(LIST
(|spadConstant| $ 74))
|PSETCAT-;rewriteIdealWithRemainder;LSL;26|))))
('T
(LETT |rs|
(CONS
(SPADCALL |p|
(|getShellEntry| $ 88))
|rs|)
|PSETCAT-;rewriteIdealWithRemainder;LSL;26|)))))))
NIL (GO G190) G191 (EXIT NIL))
(EXIT (SPADCALL |rs|
(|getShellEntry| $ 85))))))))))))))
(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| 90) . #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| $ 48
(CONS (|dispatchFunction|
|PSETCAT-;roughUnitIdeal?;SB;16|)
$))
(|setShellEntry| $ 52
(CONS (|dispatchFunction| |PSETCAT-;roughBase?;SB;18|)
$))
(|setShellEntry| $ 54
(CONS (|dispatchFunction|
|PSETCAT-;roughSubIdeal?;2SB;19|)
$))
(|setShellEntry| $ 57
(CONS (|dispatchFunction|
|PSETCAT-;roughEqualIdeals?;2SB;20|)
$)))))
(COND
((|HasCategory| |#2| '(|GcdDomain|))
(COND
((|HasCategory| |#4| '(|ConvertibleTo| (|Symbol|)))
(PROGN
(|setShellEntry| $ 72
(CONS (|dispatchFunction|
|PSETCAT-;headRemainder;PSR;22|)
$))
(|setShellEntry| $ 80
(CONS (|dispatchFunction|
|PSETCAT-;remainder;PSR;24|)
$))
(|setShellEntry| $ 86
(CONS (|dispatchFunction|
|PSETCAT-;rewriteIdealWithHeadRemainder;LSL;25|)
$))
(|setShellEntry| $ 89
(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 . =)
|PSETCAT-;mainVariable?;VarSetSB;6| (54 . |construct|)
|PSETCAT-;collectUnder;SVarSetS;7|
|PSETCAT-;collectUpper;SVarSetS;8|
|PSETCAT-;collect;SVarSetS;9|
(|Record| (|:| |under| $) (|:| |floor| $) (|:| |upper| $))
|PSETCAT-;sort;SVarSetR;10| (|Set| 10) (59 . |brace|)
(64 . =) |PSETCAT-;=;2SB;11| (70 . |degree|) (75 . <)
(81 . |zero?|) (86 . |any?|) (|Mapping| 15 10 10)
(92 . |sort|) |PSETCAT-;triangular?;SB;14|
|PSETCAT-;trivialIdeal?;SB;15| (98 . |roughUnitIdeal?|)
(103 . |sup|) (109 . +) (115 . =) (121 . |roughBase?|)
(126 . |rewriteIdealWithRemainder|)
(132 . |roughSubIdeal?|) (138 . =)
(144 . |roughSubIdeal?|) (150 . |roughEqualIdeals?|)
(156 . |quo|) (|Union| $ '"failed") (162 . |exquo|)
(168 . |One|) (172 . |reductum|) (177 . |subtractIfCan|)
(183 . |leadingCoefficient|) (188 . |gcd|) (194 . *)
(200 . |monomial|) (206 . *) (212 . -) (218 . *)
(|Record| (|:| |num| 10) (|:| |den| 7))
(224 . |headRemainder|) (230 . |gcd|) (236 . |One|)
(240 . =) (246 . |exactQuotient!|) (252 . |headRemainder|)
(258 . +)
(|Record| (|:| |rnum| 7) (|:| |polnum| 10) (|:| |den| 7))
(264 . |remainder|) (270 . |trivialIdeal?|)
(275 . |roughUnitIdeal?|) (280 . |Zero|)
(284 . |primitivePart!|) (289 . |removeDuplicates|)
(294 . |rewriteIdealWithHeadRemainder|)
(300 . |remainder|) (306 . |unitCanonical|)
(311 . |rewriteIdealWithRemainder|))
'#(|variables| 317 |trivialIdeal?| 322 |triangular?| 327
|sort| 332 |roughUnitIdeal?| 338 |roughSubIdeal?| 343
|roughEqualIdeals?| 349 |roughBase?| 355
|rewriteIdealWithRemainder| 360
|rewriteIdealWithHeadRemainder| 366 |remainder| 372
|mainVariables| 378 |mainVariable?| 383 |headRemainder|
389 |collectUpper| 395 |collectUnder| 401 |collect| 407 =
413)
'NIL
(CONS (|makeByteWordVec2| 1 'NIL)
(CONS '#()
(CONS '#()
(|makeByteWordVec2| 89
'(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 6 0 11 30 1
36 0 11 37 2 36 15 0 0 38 1 10 8 0 40
2 8 15 0 0 41 1 10 15 0 42 2 11 15 25
0 43 2 11 0 44 0 45 1 0 15 0 48 2 8 0
0 0 49 2 8 0 0 0 50 2 8 15 0 0 51 1 0
15 0 52 2 6 11 11 0 53 2 0 15 0 0 54
2 6 15 0 0 55 2 6 15 0 0 56 2 0 15 0
0 57 2 7 0 0 0 58 2 7 59 0 0 60 0 7 0
61 1 10 0 0 62 2 8 59 0 0 63 1 10 7 0
64 2 7 0 0 0 65 2 10 0 7 0 66 2 10 0
7 8 67 2 10 0 0 0 68 2 10 0 0 0 69 2
7 0 0 0 70 2 0 71 10 0 72 2 10 7 7 0
73 0 10 0 74 2 7 15 0 0 75 2 10 0 0 7
76 2 6 71 10 0 77 2 10 0 0 0 78 2 0
79 10 0 80 1 6 15 0 81 1 6 15 0 82 0
10 0 83 1 10 0 0 84 1 11 0 0 85 2 0
11 11 0 86 2 6 79 10 0 87 1 10 0 0 88
2 0 11 11 0 89 1 0 13 0 23 1 0 15 0
47 1 0 15 0 46 2 0 34 0 9 35 1 0 15 0
48 2 0 15 0 0 54 2 0 15 0 0 57 1 0 15
0 52 2 0 11 11 0 89 2 0 11 11 0 86 2
0 79 10 0 80 1 0 13 0 27 2 0 15 9 0
29 2 0 71 10 0 72 2 0 0 0 9 32 2 0 0
0 9 31 2 0 0 0 9 33 2 0 15 0 0 39)))))
'|lookupComplete|))
|
