(/VERSIONCHECK 2) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%List| |%Shell|) |%Thing|) |POLYCAT-;eval;SLS;1|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%List|) |POLYCAT-;monomials;SL;2|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|) |POLYCAT-;isPlus;SU;3|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|) |POLYCAT-;isTimes;SU;4|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|) |POLYCAT-;isExpt;SU;5|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| (|%IntegerSection| 0) |%Shell|) |%Thing|) |POLYCAT-;coefficient;SVarSetNniS;6|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%List| |%List| |%Shell|) |%Thing|) |POLYCAT-;coefficient;SLLS;7|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%List| |%List| |%Shell|) |%Thing|) |POLYCAT-;monomial;SLLS;8|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;retract;SVarSet;9|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|) |POLYCAT-;retractIfCan;SU;10|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;mkPrim|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%List|) |POLYCAT-;primitiveMonomials;SL;12|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) (|%IntegerSection| 0)) |POLYCAT-;totalDegree;SNni;13|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%List| |%Shell|) (|%IntegerSection| 0)) |POLYCAT-;totalDegree;SLNni;14|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|) |%Thing|) |POLYCAT-;resultant;2SVarSetS;15|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|) |POLYCAT-;discriminant;SVarSetS;16|)) (DECLAIM (FTYPE (FUNCTION (|%List| |%Shell|) |%List|) |POLYCAT-;allMonoms|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%List| (|%IntegerSection| 0) |%Shell|) (|%Vector| *)) |POLYCAT-;P2R|)) (DECLAIM (FTYPE (FUNCTION (|%List| |%List| |%Shell|) |%Thing|) |POLYCAT-;eq2R|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;reducedSystem;MM;20|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| (|%Vector| *) |%Shell|) |%Pair|) |POLYCAT-;reducedSystem;MVR;21|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|) |POLYCAT-;gcdPolynomial;3Sup;22|)) (DECLAIM (FTYPE (FUNCTION (|%List| |%Thing| |%Shell|) |%Pair|) |POLYCAT-;solveLinearPolynomialEquation;LSupU;23|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;factorPolynomial;SupF;24|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;factorSquareFreePolynomial;SupF;25|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;factor;SF;26|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|) |POLYCAT-;conditionP;MU;27|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|) |POLYCAT-;charthRoot;SU;28|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%List| (|%IntegerSection| 0) |%Shell|) |%Pair|) |POLYCAT-;charthRootlv|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|) |%Pair|) |POLYCAT-;monicDivide;2SVarSetR;30|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;squareFree;SF;31|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;squareFree;SF;32|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;squareFree;SF;33|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;squareFreePart;2S;34|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|) |POLYCAT-;content;SVarSetS;35|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;primitivePart;2S;36|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|) |POLYCAT-;primitivePart;SVarSetS;37|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Boolean|) |POLYCAT-;before?;2SB;38|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|) |%Thing|) |POLYCAT-;patternMatch;SP2Pmr;39|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|) |%Thing|) |POLYCAT-;patternMatch;SP2Pmr;40|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;convert;SP;41|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;convert;SP;42|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;convert;SIf;43|)) (DEFUN |POLYCAT-;eval;SLS;1| (|p| |l| $) (PROG (#0=#:G1690 #1=#:G1428 #2=#:G1691 #3=#:G1692 |lvar| #4=#:G1693 |e| #5=#:G1694) (RETURN (SEQ (COND ((NULL |l|) |p|) ('T (SEQ (SEQ (EXIT (SEQ (LETT |e| NIL |POLYCAT-;eval;SLS;1|) (LETT #0# |l| |POLYCAT-;eval;SLS;1|) G190 (COND ((OR (ATOM #0#) (PROGN (LETT |e| (CAR #0#) |POLYCAT-;eval;SLS;1|) NIL)) (GO G191))) (SEQ (EXIT (COND ((QEQCAR (SPADCALL (SPADCALL |e| (|getShellEntry| $ 14)) (|getShellEntry| $ 16)) 1) (PROGN (LETT #1# (|error| "cannot find a variable to evaluate") |POLYCAT-;eval;SLS;1|) (GO #1#)))))) (LETT #0# (CDR #0#) |POLYCAT-;eval;SLS;1|) (GO G190) G191 (EXIT NIL))) #1# (EXIT #1#)) (LETT |lvar| (PROGN (LETT #2# NIL |POLYCAT-;eval;SLS;1|) (SEQ (LETT |e| NIL |POLYCAT-;eval;SLS;1|) (LETT #3# |l| |POLYCAT-;eval;SLS;1|) G190 (COND ((OR (ATOM #3#) (PROGN (LETT |e| (CAR #3#) |POLYCAT-;eval;SLS;1|) NIL)) (GO G191))) (SEQ (EXIT (LETT #2# (CONS (SPADCALL (SPADCALL |e| (|getShellEntry| $ 14)) (|getShellEntry| $ 17)) #2#) |POLYCAT-;eval;SLS;1|))) (LETT #3# (CDR #3#) |POLYCAT-;eval;SLS;1|) (GO G190) G191 (EXIT (NREVERSE0 #2#)))) |POLYCAT-;eval;SLS;1|) (EXIT (SPADCALL |p| |lvar| (PROGN (LETT #4# NIL |POLYCAT-;eval;SLS;1|) (SEQ (LETT |e| NIL |POLYCAT-;eval;SLS;1|) (LETT #5# |l| |POLYCAT-;eval;SLS;1|) G190 (COND ((OR (ATOM #5#) (PROGN (LETT |e| (CAR #5#) |POLYCAT-;eval;SLS;1|) NIL)) (GO G191))) (SEQ (EXIT (LETT #4# (CONS (SPADCALL |e| (|getShellEntry| $ 18)) #4#) |POLYCAT-;eval;SLS;1|))) (LETT #5# (CDR #5#) |POLYCAT-;eval;SLS;1|) (GO G190) G191 (EXIT (NREVERSE0 #4#)))) (|getShellEntry| $ 21)))))))))) (DEFUN |POLYCAT-;monomials;SL;2| (|p| $) (PROG (|ml|) (RETURN (SEQ (LETT |ml| NIL |POLYCAT-;monomials;SL;2|) (SEQ G190 (COND ((NULL (SPADCALL |p| (|spadConstant| $ 27) (|getShellEntry| $ 29))) (GO G191))) (SEQ (LETT |ml| (CONS (SPADCALL |p| (|getShellEntry| $ 30)) |ml|) |POLYCAT-;monomials;SL;2|) (EXIT (LETT |p| (SPADCALL |p| (|getShellEntry| $ 32)) |POLYCAT-;monomials;SL;2|))) NIL (GO G190) G191 (EXIT NIL)) (EXIT (REVERSE |ml|)))))) (DEFUN |POLYCAT-;isPlus;SU;3| (|p| $) (PROG (|l|) (RETURN (COND ((NULL (CDR (LETT |l| (SPADCALL |p| (|getShellEntry| $ 35)) |POLYCAT-;isPlus;SU;3|))) (CONS 1 "failed")) ('T (CONS 0 |l|)))))) (DEFUN |POLYCAT-;isTimes;SU;4| (|p| $) (PROG (|lv| #0=#:G1695 |v| #1=#:G1696 |l| |r|) (RETURN (SEQ (COND ((OR (NULL (LETT |lv| (SPADCALL |p| (|getShellEntry| $ 40)) |POLYCAT-;isTimes;SU;4|)) (NOT (SPADCALL |p| (|getShellEntry| $ 42)))) (CONS 1 "failed")) ('T (SEQ (LETT |l| (PROGN (LETT #0# NIL |POLYCAT-;isTimes;SU;4|) (SEQ (LETT |v| NIL |POLYCAT-;isTimes;SU;4|) (LETT #1# |lv| |POLYCAT-;isTimes;SU;4|) G190 (COND ((OR (ATOM #1#) (PROGN (LETT |v| (CAR #1#) |POLYCAT-;isTimes;SU;4|) NIL)) (GO G191))) (SEQ (EXIT (LETT #0# (CONS (SPADCALL (|spadConstant| $ 43) |v| (SPADCALL |p| |v| (|getShellEntry| $ 46)) (|getShellEntry| $ 47)) #0#) |POLYCAT-;isTimes;SU;4|))) (LETT #1# (CDR #1#) |POLYCAT-;isTimes;SU;4|) (GO G190) G191 (EXIT (NREVERSE0 #0#)))) |POLYCAT-;isTimes;SU;4|) (EXIT (COND ((SPADCALL (LETT |r| (SPADCALL |p| (|getShellEntry| $ 48)) |POLYCAT-;isTimes;SU;4|) (|getShellEntry| $ 49)) (COND ((NULL (CDR |lv|)) (CONS 1 "failed")) ('T (CONS 0 |l|)))) ('T (CONS 0 (CONS (SPADCALL |r| (|getShellEntry| $ 51)) |l|)))))))))))) (DEFUN |POLYCAT-;isExpt;SU;5| (|p| $) (PROG (|u| |d|) (RETURN (SEQ (LETT |u| (SPADCALL |p| (|getShellEntry| $ 53)) |POLYCAT-;isExpt;SU;5|) (EXIT (COND ((OR (QEQCAR |u| 1) (NOT (SPADCALL |p| (SPADCALL (|spadConstant| $ 43) (QCDR |u|) (LETT |d| (SPADCALL |p| (QCDR |u|) (|getShellEntry| $ 46)) |POLYCAT-;isExpt;SU;5|) (|getShellEntry| $ 47)) (|getShellEntry| $ 54)))) (CONS 1 "failed")) ('T (CONS 0 (CONS (QCDR |u|) |d|))))))))) (DEFUN |POLYCAT-;coefficient;SVarSetNniS;6| (|p| |v| |n| $) (SPADCALL (SPADCALL |p| |v| (|getShellEntry| $ 59)) |n| (|getShellEntry| $ 61))) (DEFUN |POLYCAT-;coefficient;SLLS;7| (|p| |lv| |ln| $) (COND ((NULL |lv|) (COND ((NULL |ln|) |p|) ('T (|error| "mismatched lists in coefficient")))) ((NULL |ln|) (|error| "mismatched lists in coefficient")) ('T (SPADCALL (SPADCALL (SPADCALL |p| (|SPADfirst| |lv|) (|getShellEntry| $ 59)) (|SPADfirst| |ln|) (|getShellEntry| $ 61)) (CDR |lv|) (CDR |ln|) (|getShellEntry| $ 68))))) (DEFUN |POLYCAT-;monomial;SLLS;8| (|p| |lv| |ln| $) (COND ((NULL |lv|) (COND ((NULL |ln|) |p|) ('T (|error| "mismatched lists in monomial")))) ((NULL |ln|) (|error| "mismatched lists in monomial")) ('T (SPADCALL (SPADCALL |p| (|SPADfirst| |lv|) (|SPADfirst| |ln|) (|getShellEntry| $ 47)) (CDR |lv|) (CDR |ln|) (|getShellEntry| $ 70))))) (DEFUN |POLYCAT-;retract;SVarSet;9| (|p| $) (PROG (#0=#:G1479 |q|) (RETURN (SEQ (LETT |q| (PROG2 (LETT #0# (SPADCALL |p| (|getShellEntry| $ 53)) |POLYCAT-;retract;SVarSet;9|) (QCDR #0#) (|check-union| (QEQCAR #0# 0) (|getShellEntry| $ 9) #0#)) |POLYCAT-;retract;SVarSet;9|) (EXIT (COND ((SPADCALL (SPADCALL |q| (|getShellEntry| $ 72)) |p| (|getShellEntry| $ 54)) |q|) ('T (|error| "Polynomial is not a single variable")))))))) (DEFUN |POLYCAT-;retractIfCan;SU;10| (|p| $) (PROG (|q| #0=#:G1487) (RETURN (SEQ (EXIT (SEQ (SEQ (LETT |q| (SPADCALL |p| (|getShellEntry| $ 53)) |POLYCAT-;retractIfCan;SU;10|) (EXIT (COND ((QEQCAR |q| 0) (COND ((SPADCALL (SPADCALL (QCDR |q|) (|getShellEntry| $ 72)) |p| (|getShellEntry| $ 54)) (PROGN (LETT #0# |q| |POLYCAT-;retractIfCan;SU;10|) (GO #0#)))))))) (EXIT (CONS 1 "failed")))) #0# (EXIT #0#))))) (DEFUN |POLYCAT-;mkPrim| (|p| $) (SPADCALL (|spadConstant| $ 44) (SPADCALL |p| (|getShellEntry| $ 75)) (|getShellEntry| $ 76))) (DEFUN |POLYCAT-;primitiveMonomials;SL;12| (|p| $) (PROG (#0=#:G1697 |q| #1=#:G1698) (RETURN (SEQ (PROGN (LETT #0# NIL |POLYCAT-;primitiveMonomials;SL;12|) (SEQ (LETT |q| NIL |POLYCAT-;primitiveMonomials;SL;12|) (LETT #1# (SPADCALL |p| (|getShellEntry| $ 35)) |POLYCAT-;primitiveMonomials;SL;12|) G190 (COND ((OR (ATOM #1#) (PROGN (LETT |q| (CAR #1#) |POLYCAT-;primitiveMonomials;SL;12|) NIL)) (GO G191))) (SEQ (EXIT (LETT #0# (CONS (|POLYCAT-;mkPrim| |q| $) #0#) |POLYCAT-;primitiveMonomials;SL;12|))) (LETT #1# (CDR #1#) |POLYCAT-;primitiveMonomials;SL;12|) (GO G190) G191 (EXIT (NREVERSE0 #0#)))))))) (DEFUN |POLYCAT-;totalDegree;SNni;13| (|p| $) (PROG (#0=#:G1493 |d| |u|) (RETURN (SEQ (COND ((SPADCALL |p| (|getShellEntry| $ 78)) 0) ('T (SEQ (LETT |u| (SPADCALL |p| (PROG2 (LETT #0# (SPADCALL |p| (|getShellEntry| $ 53)) |POLYCAT-;totalDegree;SNni;13|) (QCDR #0#) (|check-union| (QEQCAR #0# 0) (|getShellEntry| $ 9) #0#)) (|getShellEntry| $ 59)) |POLYCAT-;totalDegree;SNni;13|) (LETT |d| 0 |POLYCAT-;totalDegree;SNni;13|) (SEQ G190 (COND ((NULL (SPADCALL |u| (|spadConstant| $ 80) (|getShellEntry| $ 81))) (GO G191))) (SEQ (LETT |d| (MAX |d| (+ (SPADCALL |u| (|getShellEntry| $ 82)) (SPADCALL (SPADCALL |u| (|getShellEntry| $ 83)) (|getShellEntry| $ 84)))) |POLYCAT-;totalDegree;SNni;13|) (EXIT (LETT |u| (SPADCALL |u| (|getShellEntry| $ 87)) |POLYCAT-;totalDegree;SNni;13|))) NIL (GO G190) G191 (EXIT NIL)) (EXIT |d|)))))))) (DEFUN |POLYCAT-;totalDegree;SLNni;14| (|p| |lv| $) (PROG (#0=#:G1501 |v| |w| |d| |u|) (RETURN (SEQ (COND ((SPADCALL |p| (|getShellEntry| $ 78)) 0) ('T (SEQ (LETT |u| (SPADCALL |p| (LETT |v| (PROG2 (LETT #0# (SPADCALL |p| (|getShellEntry| $ 53)) |POLYCAT-;totalDegree;SLNni;14|) (QCDR #0#) (|check-union| (QEQCAR #0# 0) (|getShellEntry| $ 9) #0#)) |POLYCAT-;totalDegree;SLNni;14|) (|getShellEntry| $ 59)) |POLYCAT-;totalDegree;SLNni;14|) (LETT |d| 0 |POLYCAT-;totalDegree;SLNni;14|) (LETT |w| 0 |POLYCAT-;totalDegree;SLNni;14|) (COND ((SPADCALL |v| |lv| (|getShellEntry| $ 89)) (LETT |w| 1 |POLYCAT-;totalDegree;SLNni;14|))) (SEQ G190 (COND ((NULL (SPADCALL |u| (|spadConstant| $ 80) (|getShellEntry| $ 81))) (GO G191))) (SEQ (LETT |d| (MAX |d| (+ (* |w| (SPADCALL |u| (|getShellEntry| $ 82))) (SPADCALL (SPADCALL |u| (|getShellEntry| $ 83)) |lv| (|getShellEntry| $ 92)))) |POLYCAT-;totalDegree;SLNni;14|) (EXIT (LETT |u| (SPADCALL |u| (|getShellEntry| $ 87)) |POLYCAT-;totalDegree;SLNni;14|))) NIL (GO G190) G191 (EXIT NIL)) (EXIT |d|)))))))) (DEFUN |POLYCAT-;resultant;2SVarSetS;15| (|p1| |p2| |mvar| $) (SPADCALL (SPADCALL |p1| |mvar| (|getShellEntry| $ 59)) (SPADCALL |p2| |mvar| (|getShellEntry| $ 59)) (|getShellEntry| $ 94))) (DEFUN |POLYCAT-;discriminant;SVarSetS;16| (|p| |var| $) (SPADCALL (SPADCALL |p| |var| (|getShellEntry| $ 59)) (|getShellEntry| $ 96))) (DEFUN |POLYCAT-;allMonoms| (|l| $) (PROG (#0=#:G1699 |p| #1=#:G1700) (RETURN (SEQ (SPADCALL (SPADCALL (PROGN (LETT #0# NIL |POLYCAT-;allMonoms|) (SEQ (LETT |p| NIL |POLYCAT-;allMonoms|) (LETT #1# |l| |POLYCAT-;allMonoms|) G190 (COND ((OR (ATOM #1#) (PROGN (LETT |p| (CAR #1#) |POLYCAT-;allMonoms|) NIL)) (GO G191))) (SEQ (EXIT (LETT #0# (CONS (SPADCALL |p| (|getShellEntry| $ 98)) #0#) |POLYCAT-;allMonoms|))) (LETT #1# (CDR #1#) |POLYCAT-;allMonoms|) (GO G190) G191 (EXIT (NREVERSE0 #0#)))) (|getShellEntry| $ 99)) (|getShellEntry| $ 100)))))) (DEFUN |POLYCAT-;P2R| (|p| |b| |n| $) (PROG (|w| |bj| #0=#:G1702 |i| #1=#:G1701) (RETURN (SEQ (LETT |w| (SPADCALL |n| (|spadConstant| $ 28) (|getShellEntry| $ 102)) |POLYCAT-;P2R|) (SEQ (LETT |bj| NIL |POLYCAT-;P2R|) (LETT #0# |b| |POLYCAT-;P2R|) (LETT |i| (SPADCALL |w| (|getShellEntry| $ 104)) |POLYCAT-;P2R|) (LETT #1# (|sizeOfSimpleArray| |w|) |POLYCAT-;P2R|) G190 (COND ((OR (> |i| #1#) (ATOM #0#) (PROGN (LETT |bj| (CAR #0#) |POLYCAT-;P2R|) NIL)) (GO G191))) (SEQ (EXIT (SPADCALL |w| |i| (SPADCALL |p| |bj| (|getShellEntry| $ 106)) (|getShellEntry| $ 107)))) (LETT |i| (PROG1 (+ |i| 1) (LETT #0# (CDR #0#) |POLYCAT-;P2R|)) |POLYCAT-;P2R|) (GO G190) G191 (EXIT NIL)) (EXIT |w|))))) (DEFUN |POLYCAT-;eq2R| (|l| |b| $) (PROG (#0=#:G1703 |bj| #1=#:G1704 #2=#:G1705 |p| #3=#:G1706) (RETURN (SEQ (SPADCALL (PROGN (LETT #0# NIL |POLYCAT-;eq2R|) (SEQ (LETT |bj| NIL |POLYCAT-;eq2R|) (LETT #1# |b| |POLYCAT-;eq2R|) G190 (COND ((OR (ATOM #1#) (PROGN (LETT |bj| (CAR #1#) |POLYCAT-;eq2R|) NIL)) (GO G191))) (SEQ (EXIT (LETT #0# (CONS (PROGN (LETT #2# NIL |POLYCAT-;eq2R|) (SEQ (LETT |p| NIL |POLYCAT-;eq2R|) (LETT #3# |l| |POLYCAT-;eq2R|) G190 (COND ((OR (ATOM #3#) (PROGN (LETT |p| (CAR #3#) |POLYCAT-;eq2R|) NIL)) (GO G191))) (SEQ (EXIT (LETT #2# (CONS (SPADCALL |p| |bj| (|getShellEntry| $ 106)) #2#) |POLYCAT-;eq2R|))) (LETT #3# (CDR #3#) |POLYCAT-;eq2R|) (GO G190) G191 (EXIT (NREVERSE0 #2#)))) #0#) |POLYCAT-;eq2R|))) (LETT #1# (CDR #1#) |POLYCAT-;eq2R|) (GO G190) G191 (EXIT (NREVERSE0 #0#)))) (|getShellEntry| $ 111)))))) (DEFUN |POLYCAT-;reducedSystem;MM;20| (|m| $) (PROG (#0=#:G1707 |r| #1=#:G1708 |b| #2=#:G1709 |bj| #3=#:G1710 |d| |mm| |l|) (RETURN (SEQ (LETT |l| (SPADCALL |m| (|getShellEntry| $ 114)) |POLYCAT-;reducedSystem;MM;20|) (LETT |b| (SPADCALL (SPADCALL (PROGN (LETT #0# NIL |POLYCAT-;reducedSystem;MM;20|) (SEQ (LETT |r| NIL |POLYCAT-;reducedSystem;MM;20|) (LETT #1# |l| |POLYCAT-;reducedSystem;MM;20|) G190 (COND ((OR (ATOM #1#) (PROGN (LETT |r| (CAR #1#) |POLYCAT-;reducedSystem;MM;20|) NIL)) (GO G191))) (SEQ (EXIT (LETT #0# (CONS (|POLYCAT-;allMonoms| |r| $) #0#) |POLYCAT-;reducedSystem;MM;20|))) (LETT #1# (CDR #1#) |POLYCAT-;reducedSystem;MM;20|) (GO G190) G191 (EXIT (NREVERSE0 #0#)))) (|getShellEntry| $ 99)) (|getShellEntry| $ 100)) |POLYCAT-;reducedSystem;MM;20|) (LETT |d| (PROGN (LETT #2# NIL |POLYCAT-;reducedSystem;MM;20|) (SEQ (LETT |bj| NIL |POLYCAT-;reducedSystem;MM;20|) (LETT #3# |b| |POLYCAT-;reducedSystem;MM;20|) G190 (COND ((OR (ATOM #3#) (PROGN (LETT |bj| (CAR #3#) |POLYCAT-;reducedSystem;MM;20|) NIL)) (GO G191))) (SEQ (EXIT (LETT #2# (CONS (SPADCALL |bj| (|getShellEntry| $ 75)) #2#) |POLYCAT-;reducedSystem;MM;20|))) (LETT #3# (CDR #3#) |POLYCAT-;reducedSystem;MM;20|) (GO G190) G191 (EXIT (NREVERSE0 #2#)))) |POLYCAT-;reducedSystem;MM;20|) (LETT |mm| (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| $) |POLYCAT-;reducedSystem;MM;20|) (LETT |l| (CDR |l|) |POLYCAT-;reducedSystem;MM;20|) (SEQ G190 (COND ((NULL (NOT (NULL |l|))) (GO G191))) (SEQ (LETT |mm| (SPADCALL |mm| (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| $) (|getShellEntry| $ 119)) |POLYCAT-;reducedSystem;MM;20|) (EXIT (LETT |l| (CDR |l|) |POLYCAT-;reducedSystem;MM;20|))) NIL (GO G190) G191 (EXIT NIL)) (EXIT |mm|))))) (DEFUN |POLYCAT-;reducedSystem;MVR;21| (|m| |v| $) (PROG (#0=#:G1711 |s| #1=#:G1712 |b| #2=#:G1713 |bj| #3=#:G1714 |d| |n| |mm| |w| |l| |r|) (RETURN (SEQ (LETT |l| (SPADCALL |m| (|getShellEntry| $ 114)) |POLYCAT-;reducedSystem;MVR;21|) (LETT |r| (SPADCALL |v| (|getShellEntry| $ 123)) |POLYCAT-;reducedSystem;MVR;21|) (LETT |b| (SPADCALL (SPADCALL (|POLYCAT-;allMonoms| |r| $) (SPADCALL (PROGN (LETT #0# NIL |POLYCAT-;reducedSystem;MVR;21|) (SEQ (LETT |s| NIL |POLYCAT-;reducedSystem;MVR;21|) (LETT #1# |l| |POLYCAT-;reducedSystem;MVR;21|) G190 (COND ((OR (ATOM #1#) (PROGN (LETT |s| (CAR #1#) |POLYCAT-;reducedSystem;MVR;21|) NIL)) (GO G191))) (SEQ (EXIT (LETT #0# (CONS (|POLYCAT-;allMonoms| |s| $) #0#) |POLYCAT-;reducedSystem;MVR;21|))) (LETT #1# (CDR #1#) |POLYCAT-;reducedSystem;MVR;21|) (GO G190) G191 (EXIT (NREVERSE0 #0#)))) (|getShellEntry| $ 99)) (|getShellEntry| $ 124)) (|getShellEntry| $ 100)) |POLYCAT-;reducedSystem;MVR;21|) (LETT |d| (PROGN (LETT #2# NIL |POLYCAT-;reducedSystem;MVR;21|) (SEQ (LETT |bj| NIL |POLYCAT-;reducedSystem;MVR;21|) (LETT #3# |b| |POLYCAT-;reducedSystem;MVR;21|) G190 (COND ((OR (ATOM #3#) (PROGN (LETT |bj| (CAR #3#) |POLYCAT-;reducedSystem;MVR;21|) NIL)) (GO G191))) (SEQ (EXIT (LETT #2# (CONS (SPADCALL |bj| (|getShellEntry| $ 75)) #2#) |POLYCAT-;reducedSystem;MVR;21|))) (LETT #3# (CDR #3#) |POLYCAT-;reducedSystem;MVR;21|) (GO G190) G191 (EXIT (NREVERSE0 #2#)))) |POLYCAT-;reducedSystem;MVR;21|) (LETT |n| (LENGTH |d|) |POLYCAT-;reducedSystem;MVR;21|) (LETT |mm| (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| $) |POLYCAT-;reducedSystem;MVR;21|) (LETT |w| (|POLYCAT-;P2R| (|SPADfirst| |r|) |d| |n| $) |POLYCAT-;reducedSystem;MVR;21|) (LETT |l| (CDR |l|) |POLYCAT-;reducedSystem;MVR;21|) (LETT |r| (CDR |r|) |POLYCAT-;reducedSystem;MVR;21|) (SEQ G190 (COND ((NULL (NOT (NULL |l|))) (GO G191))) (SEQ (LETT |mm| (SPADCALL |mm| (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| $) (|getShellEntry| $ 119)) |POLYCAT-;reducedSystem;MVR;21|) (LETT |w| (SPADCALL |w| (|POLYCAT-;P2R| (|SPADfirst| |r|) |d| |n| $) (|getShellEntry| $ 128)) |POLYCAT-;reducedSystem;MVR;21|) (LETT |l| (CDR |l|) |POLYCAT-;reducedSystem;MVR;21|) (EXIT (LETT |r| (CDR |r|) |POLYCAT-;reducedSystem;MVR;21|))) NIL (GO G190) G191 (EXIT NIL)) (EXIT (CONS |mm| |w|)))))) (DEFUN |POLYCAT-;gcdPolynomial;3Sup;22| (|pp| |qq| $) (SPADCALL |pp| |qq| (|getShellEntry| $ 133))) (DEFUN |POLYCAT-;solveLinearPolynomialEquation;LSupU;23| (|lpp| |pp| $) (SPADCALL |lpp| |pp| (|getShellEntry| $ 138))) (DEFUN |POLYCAT-;factorPolynomial;SupF;24| (|pp| $) (SPADCALL |pp| (|getShellEntry| $ 143))) (DEFUN |POLYCAT-;factorSquareFreePolynomial;SupF;25| (|pp| $) (SPADCALL |pp| (|getShellEntry| $ 146))) (DEFUN |POLYCAT-;factor;SF;26| (|p| $) (PROG (|v| |ansR| #0=#:G1715 |w| #1=#:G1716 |up| |ansSUP| #2=#:G1717 |ww| #3=#:G1718) (RETURN (SEQ (LETT |v| (SPADCALL |p| (|getShellEntry| $ 53)) |POLYCAT-;factor;SF;26|) (EXIT (COND ((QEQCAR |v| 1) (SEQ (LETT |ansR| (SPADCALL (SPADCALL |p| (|getShellEntry| $ 48)) (|getShellEntry| $ 149)) |POLYCAT-;factor;SF;26|) (EXIT (SPADCALL (SPADCALL (SPADCALL |ansR| (|getShellEntry| $ 151)) (|getShellEntry| $ 51)) (PROGN (LETT #0# NIL |POLYCAT-;factor;SF;26|) (SEQ (LETT |w| NIL |POLYCAT-;factor;SF;26|) (LETT #1# (SPADCALL |ansR| (|getShellEntry| $ 155)) |POLYCAT-;factor;SF;26|) G190 (COND ((OR (ATOM #1#) (PROGN (LETT |w| (CAR #1#) |POLYCAT-;factor;SF;26|) NIL)) (GO G191))) (SEQ (EXIT (LETT #0# (CONS (VECTOR (QVELT |w| 0) (SPADCALL (QVELT |w| 1) (|getShellEntry| $ 51)) (QVELT |w| 2)) #0#) |POLYCAT-;factor;SF;26|))) (LETT #1# (CDR #1#) |POLYCAT-;factor;SF;26|) (GO G190) G191 (EXIT (NREVERSE0 #0#)))) (|getShellEntry| $ 159))))) ('T (SEQ (LETT |up| (SPADCALL |p| (QCDR |v|) (|getShellEntry| $ 59)) |POLYCAT-;factor;SF;26|) (LETT |ansSUP| (SPADCALL |up| (|getShellEntry| $ 143)) |POLYCAT-;factor;SF;26|) (EXIT (SPADCALL (SPADCALL (SPADCALL |ansSUP| (|getShellEntry| $ 160)) (QCDR |v|) (|getShellEntry| $ 161)) (PROGN (LETT #2# NIL |POLYCAT-;factor;SF;26|) (SEQ (LETT |ww| NIL |POLYCAT-;factor;SF;26|) (LETT #3# (SPADCALL |ansSUP| (|getShellEntry| $ 164)) |POLYCAT-;factor;SF;26|) G190 (COND ((OR (ATOM #3#) (PROGN (LETT |ww| (CAR #3#) |POLYCAT-;factor;SF;26|) NIL)) (GO G191))) (SEQ (EXIT (LETT #2# (CONS (VECTOR (QVELT |ww| 0) (SPADCALL (QVELT |ww| 1) (QCDR |v|) (|getShellEntry| $ 161)) (QVELT |ww| 2)) #2#) |POLYCAT-;factor;SF;26|))) (LETT #3# (CDR #3#) |POLYCAT-;factor;SF;26|) (GO G190) G191 (EXIT (NREVERSE0 #2#)))) (|getShellEntry| $ 159))))))))))) (DEFUN |POLYCAT-;conditionP;MU;27| (|mat| $) (PROG (|ll| #0=#:G1719 |z| #1=#:G1720 |ch| |l| #2=#:G1721 #3=#:G1722 #4=#:G1584 #5=#:G1582 #6=#:G1583 #7=#:G1723 |vars| |degs| #8=#:G1724 |d| #9=#:G1725 |nd| #10=#:G1611 #11=#:G1591 |deg1| |redmons| #12=#:G1726 |v| #13=#:G1728 |u| #14=#:G1727 |llR| |monslist| |ans| #15=#:G1729 #16=#:G1730 |mons| #17=#:G1731 |m| #18=#:G1732 |i| #19=#:G1607 #20=#:G1605 #21=#:G1606) (RETURN (SEQ (EXIT (SEQ (LETT |ll| (SPADCALL (SPADCALL |mat| (|getShellEntry| $ 166)) (|getShellEntry| $ 114)) |POLYCAT-;conditionP;MU;27|) (LETT |llR| (PROGN (LETT #0# NIL |POLYCAT-;conditionP;MU;27|) (SEQ (LETT |z| NIL |POLYCAT-;conditionP;MU;27|) (LETT #1# (|SPADfirst| |ll|) |POLYCAT-;conditionP;MU;27|) G190 (COND ((OR (ATOM #1#) (PROGN (LETT |z| (CAR #1#) |POLYCAT-;conditionP;MU;27|) NIL)) (GO G191))) (SEQ (EXIT (LETT #0# (CONS NIL #0#) |POLYCAT-;conditionP;MU;27|))) (LETT #1# (CDR #1#) |POLYCAT-;conditionP;MU;27|) (GO G190) G191 (EXIT (NREVERSE0 #0#)))) |POLYCAT-;conditionP;MU;27|) (LETT |monslist| NIL |POLYCAT-;conditionP;MU;27|) (LETT |ch| (|spadConstant| $ 169) |POLYCAT-;conditionP;MU;27|) (SEQ (LETT |l| NIL |POLYCAT-;conditionP;MU;27|) (LETT #2# |ll| |POLYCAT-;conditionP;MU;27|) G190 (COND ((OR (ATOM #2#) (PROGN (LETT |l| (CAR #2#) |POLYCAT-;conditionP;MU;27|) NIL)) (GO G191))) (SEQ (LETT |mons| (PROGN (LETT #6# NIL |POLYCAT-;conditionP;MU;27|) (SEQ (LETT |u| NIL |POLYCAT-;conditionP;MU;27|) (LETT #3# |l| |POLYCAT-;conditionP;MU;27|) G190 (COND ((OR (ATOM #3#) (PROGN (LETT |u| (CAR #3#) |POLYCAT-;conditionP;MU;27|) NIL)) (GO G191))) (SEQ (EXIT (PROGN (LETT #4# (SPADCALL |u| (|getShellEntry| $ 98)) |POLYCAT-;conditionP;MU;27|) (COND (#6# (LETT #5# (SPADCALL #5# #4# (|getShellEntry| $ 170)) |POLYCAT-;conditionP;MU;27|)) ('T (PROGN (LETT #5# #4# |POLYCAT-;conditionP;MU;27|) (LETT #6# 'T |POLYCAT-;conditionP;MU;27|))))))) (LETT #3# (CDR #3#) |POLYCAT-;conditionP;MU;27|) (GO G190) G191 (EXIT NIL)) (COND (#6# #5#) ('T (|IdentityError| '|setUnion|)))) |POLYCAT-;conditionP;MU;27|) (LETT |redmons| NIL |POLYCAT-;conditionP;MU;27|) (SEQ (LETT |m| NIL |POLYCAT-;conditionP;MU;27|) (LETT #7# |mons| |POLYCAT-;conditionP;MU;27|) G190 (COND ((OR (ATOM #7#) (PROGN (LETT |m| (CAR #7#) |POLYCAT-;conditionP;MU;27|) NIL)) (GO G191))) (SEQ (LETT |vars| (SPADCALL |m| (|getShellEntry| $ 40)) |POLYCAT-;conditionP;MU;27|) (LETT |degs| (SPADCALL |m| |vars| (|getShellEntry| $ 171)) |POLYCAT-;conditionP;MU;27|) (LETT |deg1| (PROGN (LETT #8# NIL |POLYCAT-;conditionP;MU;27|) (SEQ (LETT |d| NIL |POLYCAT-;conditionP;MU;27|) (LETT #9# |degs| |POLYCAT-;conditionP;MU;27|) G190 (COND ((OR (ATOM #9#) (PROGN (LETT |d| (CAR #9#) |POLYCAT-;conditionP;MU;27|) NIL)) (GO G191))) (SEQ (EXIT (LETT #8# (CONS (SEQ (LETT |nd| (SPADCALL |d| |ch| (|getShellEntry| $ 173)) |POLYCAT-;conditionP;MU;27|) (EXIT (COND ((QEQCAR |nd| 1) (PROGN (LETT #10# (CONS 1 "failed") |POLYCAT-;conditionP;MU;27|) (GO #10#))) ('T (PROG1 (LETT #11# (QCDR |nd|) |POLYCAT-;conditionP;MU;27|) (|check-subtype| (>= #11# 0) '(|NonNegativeInteger|) #11#)))))) #8#) |POLYCAT-;conditionP;MU;27|))) (LETT #9# (CDR #9#) |POLYCAT-;conditionP;MU;27|) (GO G190) G191 (EXIT (NREVERSE0 #8#)))) |POLYCAT-;conditionP;MU;27|) (LETT |redmons| (CONS (SPADCALL (|spadConstant| $ 43) |vars| |deg1| (|getShellEntry| $ 70)) |redmons|) |POLYCAT-;conditionP;MU;27|) (EXIT (LETT |llR| (PROGN (LETT #12# NIL |POLYCAT-;conditionP;MU;27|) (SEQ (LETT |v| NIL |POLYCAT-;conditionP;MU;27|) (LETT #13# |llR| |POLYCAT-;conditionP;MU;27|) (LETT |u| NIL |POLYCAT-;conditionP;MU;27|) (LETT #14# |l| |POLYCAT-;conditionP;MU;27|) G190 (COND ((OR (ATOM #14#) (PROGN (LETT |u| (CAR #14#) |POLYCAT-;conditionP;MU;27|) NIL) (ATOM #13#) (PROGN (LETT |v| (CAR #13#) |POLYCAT-;conditionP;MU;27|) NIL)) (GO G191))) (SEQ (EXIT (LETT #12# (CONS (CONS (SPADCALL (SPADCALL |u| |vars| |degs| (|getShellEntry| $ 68)) (|getShellEntry| $ 175)) |v|) #12#) |POLYCAT-;conditionP;MU;27|))) (LETT #14# (PROG1 (CDR #14#) (LETT #13# (CDR #13#) |POLYCAT-;conditionP;MU;27|)) |POLYCAT-;conditionP;MU;27|) (GO G190) G191 (EXIT (NREVERSE0 #12#)))) |POLYCAT-;conditionP;MU;27|))) (LETT #7# (CDR #7#) |POLYCAT-;conditionP;MU;27|) (GO G190) G191 (EXIT NIL)) (EXIT (LETT |monslist| (CONS |redmons| |monslist|) |POLYCAT-;conditionP;MU;27|))) (LETT #2# (CDR #2#) |POLYCAT-;conditionP;MU;27|) (GO G190) G191 (EXIT NIL)) (LETT |ans| (SPADCALL (SPADCALL (SPADCALL |llR| (|getShellEntry| $ 111)) (|getShellEntry| $ 178)) (|getShellEntry| $ 180)) |POLYCAT-;conditionP;MU;27|) (EXIT (COND ((QEQCAR |ans| 1) (CONS 1 "failed")) ('T (SEQ (LETT |i| 0 |POLYCAT-;conditionP;MU;27|) (EXIT (CONS 0 (PRIMVEC2ARR (PROGN (LETT #15# (GETREFV (SIZE |monslist|)) |POLYCAT-;conditionP;MU;27|) (SEQ (LETT #16# 0 |POLYCAT-;conditionP;MU;27|) (LETT |mons| NIL |POLYCAT-;conditionP;MU;27|) (LETT #17# |monslist| |POLYCAT-;conditionP;MU;27|) G190 (COND ((OR (ATOM #17#) (PROGN (LETT |mons| (CAR #17#) |POLYCAT-;conditionP;MU;27|) NIL)) (GO G191))) (SEQ (EXIT (|setSimpleArrayEntry| #15# #16# (PROGN (LETT #21# NIL |POLYCAT-;conditionP;MU;27|) (SEQ (LETT |m| NIL |POLYCAT-;conditionP;MU;27|) (LETT #18# |mons| |POLYCAT-;conditionP;MU;27|) G190 (COND ((OR (ATOM #18#) (PROGN (LETT |m| (CAR #18#) |POLYCAT-;conditionP;MU;27|) NIL)) (GO G191))) (SEQ (EXIT (PROGN (LETT #19# (SPADCALL |m| (SPADCALL (SPADCALL (QCDR |ans|) (LETT |i| (+ |i| 1) |POLYCAT-;conditionP;MU;27|) (|getShellEntry| $ 181)) (|getShellEntry| $ 51)) (|getShellEntry| $ 182)) |POLYCAT-;conditionP;MU;27|) (COND (#21# (LETT #20# (SPADCALL #20# #19# (|getShellEntry| $ 183)) |POLYCAT-;conditionP;MU;27|)) ('T (PROGN (LETT #20# #19# |POLYCAT-;conditionP;MU;27|) (LETT #21# 'T |POLYCAT-;conditionP;MU;27|))))))) (LETT #18# (CDR #18#) |POLYCAT-;conditionP;MU;27|) (GO G190) G191 (EXIT NIL)) (COND (#21# #20#) ('T (|spadConstant| $ 27))))))) (LETT #17# (PROG1 (CDR #17#) (LETT #16# (QSADD1 #16#) |POLYCAT-;conditionP;MU;27|)) |POLYCAT-;conditionP;MU;27|) (GO G190) G191 (EXIT NIL)) #15#)))))))))) #10# (EXIT #10#))))) (DEFUN |POLYCAT-;charthRoot;SU;28| (|p| $) (PROG (|vars| |ans| |ch|) (RETURN (SEQ (LETT |vars| (SPADCALL |p| (|getShellEntry| $ 40)) |POLYCAT-;charthRoot;SU;28|) (EXIT (COND ((NULL |vars|) (SEQ (LETT |ans| (SPADCALL (SPADCALL |p| (|getShellEntry| $ 175)) (|getShellEntry| $ 185)) |POLYCAT-;charthRoot;SU;28|) (EXIT (COND ((QEQCAR |ans| 1) (CONS 1 "failed")) ('T (CONS 0 (SPADCALL (QCDR |ans|) (|getShellEntry| $ 51)))))))) ('T (SEQ (LETT |ch| (|spadConstant| $ 169) |POLYCAT-;charthRoot;SU;28|) (EXIT (|POLYCAT-;charthRootlv| |p| |vars| |ch| $)))))))))) (DEFUN |POLYCAT-;charthRootlv| (|p| |vars| |ch| $) (PROG (|v| |dd| |cp| |d| #0=#:G1632 |ans| |ansx| #1=#:G1639) (RETURN (SEQ (EXIT (COND ((NULL |vars|) (SEQ (LETT |ans| (SPADCALL (SPADCALL |p| (|getShellEntry| $ 175)) (|getShellEntry| $ 185)) |POLYCAT-;charthRootlv|) (EXIT (COND ((QEQCAR |ans| 1) (CONS 1 "failed")) ('T (CONS 0 (SPADCALL (QCDR |ans|) (|getShellEntry| $ 51)))))))) ('T (SEQ (LETT |v| (|SPADfirst| |vars|) |POLYCAT-;charthRootlv|) (LETT |vars| (CDR |vars|) |POLYCAT-;charthRootlv|) (LETT |d| (SPADCALL |p| |v| (|getShellEntry| $ 46)) |POLYCAT-;charthRootlv|) (LETT |ans| (|spadConstant| $ 27) |POLYCAT-;charthRootlv|) (SEQ G190 (COND ((NULL (> |d| 0)) (GO G191))) (SEQ (LETT |dd| (SPADCALL |d| |ch| (|getShellEntry| $ 173)) |POLYCAT-;charthRootlv|) (EXIT (COND ((QEQCAR |dd| 1) (PROGN (LETT #1# (CONS 1 "failed") |POLYCAT-;charthRootlv|) (GO #1#))) ('T (SEQ (LETT |cp| (SPADCALL |p| |v| |d| (|getShellEntry| $ 188)) |POLYCAT-;charthRootlv|) (LETT |p| (SPADCALL |p| (SPADCALL |cp| |v| |d| (|getShellEntry| $ 47)) (|getShellEntry| $ 189)) |POLYCAT-;charthRootlv|) (LETT |ansx| (|POLYCAT-;charthRootlv| |cp| |vars| |ch| $) |POLYCAT-;charthRootlv|) (EXIT (COND ((QEQCAR |ansx| 1) (PROGN (LETT #1# (CONS 1 "failed") |POLYCAT-;charthRootlv|) (GO #1#))) ('T (SEQ (LETT |d| (SPADCALL |p| |v| (|getShellEntry| $ 46)) |POLYCAT-;charthRootlv|) (EXIT (LETT |ans| (SPADCALL |ans| (SPADCALL (QCDR |ansx|) |v| (PROG1 (LETT #0# (QCDR |dd|) |POLYCAT-;charthRootlv|) (|check-subtype| (>= #0# 0) '(|NonNegativeInteger|) #0#)) (|getShellEntry| $ 47)) (|getShellEntry| $ 183)) |POLYCAT-;charthRootlv|))))))))))) NIL (GO G190) G191 (EXIT NIL)) (LETT |ansx| (|POLYCAT-;charthRootlv| |p| |vars| |ch| $) |POLYCAT-;charthRootlv|) (EXIT (COND ((QEQCAR |ansx| 1) (PROGN (LETT #1# (CONS 1 "failed") |POLYCAT-;charthRootlv|) (GO #1#))) ('T (PROGN (LETT #1# (CONS 0 (SPADCALL |ans| (QCDR |ansx|) (|getShellEntry| $ 183))) |POLYCAT-;charthRootlv|) (GO #1#))))))))) #1# (EXIT #1#))))) (DEFUN |POLYCAT-;monicDivide;2SVarSetR;30| (|p1| |p2| |mvar| $) (PROG (|result|) (RETURN (SEQ (LETT |result| (SPADCALL (SPADCALL |p1| |mvar| (|getShellEntry| $ 59)) (SPADCALL |p2| |mvar| (|getShellEntry| $ 59)) (|getShellEntry| $ 191)) |POLYCAT-;monicDivide;2SVarSetR;30|) (EXIT (CONS (SPADCALL (QCAR |result|) |mvar| (|getShellEntry| $ 161)) (SPADCALL (QCDR |result|) |mvar| (|getShellEntry| $ 161)))))))) (DEFUN |POLYCAT-;squareFree;SF;31| (|p| $) (SPADCALL |p| (|getShellEntry| $ 194))) (DEFUN |POLYCAT-;squareFree;SF;32| (|p| $) (SPADCALL |p| (|getShellEntry| $ 197))) (DEFUN |POLYCAT-;squareFree;SF;33| (|p| $) (SPADCALL |p| (|getShellEntry| $ 197))) (DEFUN |POLYCAT-;squareFreePart;2S;34| (|p| $) (PROG (|s| |f| #0=#:G1733 #1=#:G1653 #2=#:G1651 #3=#:G1652) (RETURN (SEQ (SPADCALL (SPADCALL (LETT |s| (SPADCALL |p| (|getShellEntry| $ 198)) |POLYCAT-;squareFreePart;2S;34|) (|getShellEntry| $ 199)) (PROGN (LETT #3# NIL |POLYCAT-;squareFreePart;2S;34|) (SEQ (LETT |f| NIL |POLYCAT-;squareFreePart;2S;34|) (LETT #0# (SPADCALL |s| (|getShellEntry| $ 202)) |POLYCAT-;squareFreePart;2S;34|) G190 (COND ((OR (ATOM #0#) (PROGN (LETT |f| (CAR #0#) |POLYCAT-;squareFreePart;2S;34|) NIL)) (GO G191))) (SEQ (EXIT (PROGN (LETT #1# (QCAR |f|) |POLYCAT-;squareFreePart;2S;34|) (COND (#3# (LETT #2# (SPADCALL #2# #1# (|getShellEntry| $ 182)) |POLYCAT-;squareFreePart;2S;34|)) ('T (PROGN (LETT #2# #1# |POLYCAT-;squareFreePart;2S;34|) (LETT #3# 'T |POLYCAT-;squareFreePart;2S;34|))))))) (LETT #0# (CDR #0#) |POLYCAT-;squareFreePart;2S;34|) (GO G190) G191 (EXIT NIL)) (COND (#3# #2#) ('T (|spadConstant| $ 43)))) (|getShellEntry| $ 182)))))) (DEFUN |POLYCAT-;content;SVarSetS;35| (|p| |v| $) (SPADCALL (SPADCALL |p| |v| (|getShellEntry| $ 59)) (|getShellEntry| $ 204))) (DEFUN |POLYCAT-;primitivePart;2S;36| (|p| $) (PROG (#0=#:G1657) (RETURN (QVELT (SPADCALL (PROG2 (LETT #0# (SPADCALL |p| (SPADCALL |p| (|getShellEntry| $ 206)) (|getShellEntry| $ 207)) |POLYCAT-;primitivePart;2S;36|) (QCDR #0#) (|check-union| (QEQCAR #0# 0) (|getShellEntry| $ 6) #0#)) (|getShellEntry| $ 209)) 1)))) (DEFUN |POLYCAT-;primitivePart;SVarSetS;37| (|p| |v| $) (PROG (#0=#:G1663) (RETURN (QVELT (SPADCALL (PROG2 (LETT #0# (SPADCALL |p| (SPADCALL |p| |v| (|getShellEntry| $ 211)) (|getShellEntry| $ 212)) |POLYCAT-;primitivePart;SVarSetS;37|) (QCDR #0#) (|check-union| (QEQCAR #0# 0) (|getShellEntry| $ 6) #0#)) (|getShellEntry| $ 209)) 1)))) (DEFUN |POLYCAT-;before?;2SB;38| (|p| |q| $) (PROG (|dp| |dq|) (RETURN (SEQ (LETT |dp| (SPADCALL |p| (|getShellEntry| $ 75)) |POLYCAT-;before?;2SB;38|) (LETT |dq| (SPADCALL |q| (|getShellEntry| $ 75)) |POLYCAT-;before?;2SB;38|) (EXIT (COND ((SPADCALL |dp| |dq| (|getShellEntry| $ 214)) (SPADCALL (|spadConstant| $ 28) (SPADCALL |q| (|getShellEntry| $ 48)) (|getShellEntry| $ 215))) ((SPADCALL |dq| |dp| (|getShellEntry| $ 214)) (SPADCALL (SPADCALL |p| (|getShellEntry| $ 48)) (|spadConstant| $ 28) (|getShellEntry| $ 215))) ('T (SPADCALL (SPADCALL (SPADCALL |p| |q| (|getShellEntry| $ 189)) (|getShellEntry| $ 48)) (|spadConstant| $ 28) (|getShellEntry| $ 215))))))))) (DEFUN |POLYCAT-;patternMatch;SP2Pmr;39| (|p| |pat| |l| $) (SPADCALL |p| |pat| |l| (|getShellEntry| $ 220))) (DEFUN |POLYCAT-;patternMatch;SP2Pmr;40| (|p| |pat| |l| $) (SPADCALL |p| |pat| |l| (|getShellEntry| $ 227))) (DEFUN |POLYCAT-;convert;SP;41| (|x| $) (SPADCALL (ELT $ 230) (ELT $ 231) |x| (|getShellEntry| $ 235))) (DEFUN |POLYCAT-;convert;SP;42| (|x| $) (SPADCALL (ELT $ 237) (ELT $ 238) |x| (|getShellEntry| $ 242))) (DEFUN |POLYCAT-;convert;SIf;43| (|p| $) (SPADCALL (ELT $ 245) (ELT $ 246) |p| (|getShellEntry| $ 250))) (DEFUN |PolynomialCategory&| (|#1| |#2| |#3| |#4|) (PROG (|dv$1| |dv$2| |dv$3| |dv$4| |dv$| $ |pv$|) (RETURN (PROGN (LETT |dv$1| (|devaluate| |#1|) . #0=(|PolynomialCategory&|)) (LETT |dv$2| (|devaluate| |#2|) . #0#) (LETT |dv$3| (|devaluate| |#3|) . #0#) (LETT |dv$4| (|devaluate| |#4|) . #0#) (LETT |dv$| (LIST '|PolynomialCategory&| |dv$1| |dv$2| |dv$3| |dv$4|) . #0#) (LETT $ (|newShell| 259) . #0#) (|setShellEntry| $ 0 |dv$|) (|setShellEntry| $ 3 (LETT |pv$| (|buildPredVector| 0 0 (LIST (|HasCategory| |#2| '(|PolynomialFactorizationExplicit|)) (|HasAttribute| |#2| '|canonicalUnitNormal|) (|HasCategory| |#2| '(|GcdDomain|)) (|HasCategory| |#2| '(|CommutativeRing|)) (|HasCategory| |#4| '(|PatternMatchable| (|Float|))) (|HasCategory| |#2| '(|PatternMatchable| (|Float|))) (|HasCategory| |#4| '(|PatternMatchable| (|Integer|))) (|HasCategory| |#2| '(|PatternMatchable| (|Integer|))) (|HasCategory| |#4| '(|ConvertibleTo| (|Pattern| (|Float|)))) (|HasCategory| |#2| '(|ConvertibleTo| (|Pattern| (|Float|)))) (|HasCategory| |#4| '(|ConvertibleTo| (|Pattern| (|Integer|)))) (|HasCategory| |#2| '(|ConvertibleTo| (|Pattern| (|Integer|)))) (|HasCategory| |#4| '(|ConvertibleTo| (|InputForm|))) (|HasCategory| |#2| '(|ConvertibleTo| (|InputForm|))))) . #0#)) (|stuffDomainSlots| $) (|setShellEntry| $ 6 |#1|) (|setShellEntry| $ 7 |#2|) (|setShellEntry| $ 8 |#3|) (|setShellEntry| $ 9 |#4|) (COND ((|testBitVector| |pv$| 4) (PROGN (|setShellEntry| $ 95 (CONS (|dispatchFunction| |POLYCAT-;resultant;2SVarSetS;15|) $)) (|setShellEntry| $ 97 (CONS (|dispatchFunction| |POLYCAT-;discriminant;SVarSetS;16|) $))))) (COND ((|HasCategory| |#2| '(|IntegralDomain|)) (PROGN (|setShellEntry| $ 121 (CONS (|dispatchFunction| |POLYCAT-;reducedSystem;MM;20|) $)) (|setShellEntry| $ 131 (CONS (|dispatchFunction| |POLYCAT-;reducedSystem;MVR;21|) $))))) (COND ((|testBitVector| |pv$| 1) (PROGN (|setShellEntry| $ 134 (CONS (|dispatchFunction| |POLYCAT-;gcdPolynomial;3Sup;22|) $)) (|setShellEntry| $ 141 (CONS (|dispatchFunction| |POLYCAT-;solveLinearPolynomialEquation;LSupU;23|) $)) (|setShellEntry| $ 145 (CONS (|dispatchFunction| |POLYCAT-;factorPolynomial;SupF;24|) $)) (|setShellEntry| $ 147 (CONS (|dispatchFunction| |POLYCAT-;factorSquareFreePolynomial;SupF;25|) $)) (|setShellEntry| $ 165 (CONS (|dispatchFunction| |POLYCAT-;factor;SF;26|) $)) (COND ((|HasCategory| |#2| '(|CharacteristicNonZero|)) (PROGN (|setShellEntry| $ 184 (CONS (|dispatchFunction| |POLYCAT-;conditionP;MU;27|) $)))))))) (COND ((|HasCategory| |#2| '(|CharacteristicNonZero|)) (PROGN (|setShellEntry| $ 186 (CONS (|dispatchFunction| |POLYCAT-;charthRoot;SU;28|) $))))) (COND ((|testBitVector| |pv$| 3) (PROGN (COND ((|HasCategory| |#2| '(|EuclideanDomain|)) (COND ((|HasCategory| |#2| '(|CharacteristicZero|)) (|setShellEntry| $ 195 (CONS (|dispatchFunction| |POLYCAT-;squareFree;SF;31|) $))) ('T (|setShellEntry| $ 195 (CONS (|dispatchFunction| |POLYCAT-;squareFree;SF;32|) $))))) ('T (|setShellEntry| $ 195 (CONS (|dispatchFunction| |POLYCAT-;squareFree;SF;33|) $)))) (|setShellEntry| $ 203 (CONS (|dispatchFunction| |POLYCAT-;squareFreePart;2S;34|) $)) (|setShellEntry| $ 205 (CONS (|dispatchFunction| |POLYCAT-;content;SVarSetS;35|) $)) (|setShellEntry| $ 210 (CONS (|dispatchFunction| |POLYCAT-;primitivePart;2S;36|) $)) (|setShellEntry| $ 213 (CONS (|dispatchFunction| |POLYCAT-;primitivePart;SVarSetS;37|) $))))) (COND ((|testBitVector| |pv$| 8) (COND ((|testBitVector| |pv$| 7) (|setShellEntry| $ 222 (CONS (|dispatchFunction| |POLYCAT-;patternMatch;SP2Pmr;39|) $)))))) (COND ((|testBitVector| |pv$| 6) (COND ((|testBitVector| |pv$| 5) (|setShellEntry| $ 229 (CONS (|dispatchFunction| |POLYCAT-;patternMatch;SP2Pmr;40|) $)))))) (COND ((|testBitVector| |pv$| 12) (COND ((|testBitVector| |pv$| 11) (|setShellEntry| $ 236 (CONS (|dispatchFunction| |POLYCAT-;convert;SP;41|) $)))))) (COND ((|testBitVector| |pv$| 10) (COND ((|testBitVector| |pv$| 9) (|setShellEntry| $ 243 (CONS (|dispatchFunction| |POLYCAT-;convert;SP;42|) $)))))) (COND ((|testBitVector| |pv$| 14) (COND ((|testBitVector| |pv$| 13) (|setShellEntry| $ 251 (CONS (|dispatchFunction| |POLYCAT-;convert;SIf;43|) $)))))) $)))) (MAKEPROP '|PolynomialCategory&| '|infovec| (LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (|local| |#3|) (|local| |#4|) (|Boolean|) (|Equation| 6) (|List| 11) (0 . |empty?|) (5 . |lhs|) (|Union| 9 '"failed") (10 . |retractIfCan|) (15 . |retract|) (20 . |rhs|) (|List| 9) (|List| $) (25 . |eval|) (|Equation| $) (|List| 22) |POLYCAT-;eval;SLS;1| (|List| 6) (32 . |empty|) (36 . |Zero|) (40 . |Zero|) (44 . ~=) (50 . |leadingMonomial|) (55 . |concat|) (61 . |reductum|) (66 . |reverse|) |POLYCAT-;monomials;SL;2| (71 . |monomials|) (76 . |rest|) (81 . |empty?|) (|Union| 20 '"failed") |POLYCAT-;isPlus;SU;3| (86 . |variables|) (91 . |empty?|) (96 . |monomial?|) (101 . |One|) (105 . |One|) (|NonNegativeInteger|) (109 . |degree|) (115 . |monomial|) (122 . |leadingCoefficient|) (127 . |one?|) (132 . |rest|) (137 . |coerce|) |POLYCAT-;isTimes;SU;4| (142 . |mainVariable|) (147 . =) (|Record| (|:| |var| 9) (|:| |exponent| 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(|Factored| 7) (479 . |unit|) (|Union| '"nil" '"sqfr" '"irred" '"prime") (|Record| (|:| |flg| 152) (|:| |fctr| 7) (|:| |xpnt| 103)) (|List| 153) (484 . |factorList|) (|Record| (|:| |flg| 152) (|:| |fctr| 6) (|:| |xpnt| 103)) (|List| 156) (|Factored| 6) (489 . |makeFR|) (495 . |unit|) (500 . |multivariate|) (|Record| (|:| |flg| 152) (|:| |fctr| 60) (|:| |xpnt| 103)) (|List| 162) (506 . |factorList|) (511 . |factor|) (516 . |transpose|) (521 . |empty|) (525 . |empty|) (529 . |characteristic|) (533 . |setUnion|) (539 . |degree|) (|Union| $ '"failed") (545 . |exquo|) (551 . |cons|) (557 . |ground|) (562 . |cons|) (568 . |cons|) (574 . |transpose|) (|Union| 130 '"failed") (579 . |conditionP|) (584 . |elt|) (590 . *) (596 . +) (602 . |conditionP|) (607 . |charthRoot|) (612 . |charthRoot|) (617 . >) (623 . |coefficient|) (630 . -) (|Record| (|:| |quotient| $) (|:| |remainder| $)) (636 . |monicDivide|) |POLYCAT-;monicDivide;2SVarSetR;30| (|MultivariateSquareFree| 8 9 7 6) (642 . |squareFree|) (647 . |squareFree|) (|PolynomialSquareFree| 9 8 7 6) (652 . |squareFree|) (657 . |squareFree|) (662 . |unit|) (|Record| (|:| |factor| 6) (|:| |exponent| 103)) (|List| 200) (667 . |factors|) (672 . |squareFreePart|) (677 . |content|) (682 . |content|) (688 . |content|) (693 . |exquo|) (|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) (699 . |unitNormal|) (704 . |primitivePart|) (709 . |content|) (715 . |exquo|) (721 . |primitivePart|) (727 . <) (733 . |before?|) |POLYCAT-;before?;2SB;38| (|PatternMatchResult| 103 6) (|Pattern| 103) (|PatternMatchPolynomialCategory| 103 8 9 7 6) (739 . |patternMatch|) (|PatternMatchResult| 103 $) (746 . |patternMatch|) (|Float|) (|PatternMatchResult| 223 6) (|Pattern| 223) (|PatternMatchPolynomialCategory| 223 8 9 7 6) (753 . |patternMatch|) (|PatternMatchResult| 223 $) (760 . |patternMatch|) (767 . |convert|) (772 . |convert|) (|Mapping| 218 9) (|Mapping| 218 7) (|PolynomialCategoryLifting| 8 9 7 6 218) (777 . |map|) (784 . |convert|) 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