diff options
Diffstat (limited to 'src/algebra/polycat.spad.pamphlet')
| -rw-r--r-- | src/algebra/polycat.spad.pamphlet | 6751 |
1 files changed, 3198 insertions, 3553 deletions
diff --git a/src/algebra/polycat.spad.pamphlet b/src/algebra/polycat.spad.pamphlet index 01cbbccc..bb940038 100644 --- a/src/algebra/polycat.spad.pamphlet +++ b/src/algebra/polycat.spad.pamphlet @@ -617,172 +617,243 @@ Note that this code is not included in the generated catdef.spad file. <<POLYCAT.lsp BOOTSTRAP>>= -(|/VERSIONCHECK| 2) - -(SETQ |PolynomialCategory;CAT| (QUOTE NIL)) - -(SETQ |PolynomialCategory;AL| (QUOTE NIL)) - -(DEFUN |PolynomialCategory| (|&REST| #1=#:G101841 |&AUX| #2=#:G101839) - (DSETQ #2# #1#) - (LET (#3=#:G101840) - (COND - ((SETQ #3# (|assoc| (|devaluateList| #2#) |PolynomialCategory;AL|)) - (CDR #3#)) - (T - (SETQ |PolynomialCategory;AL| - (|cons5| - (CONS - (|devaluateList| #2#) - (SETQ #3# (APPLY (FUNCTION |PolynomialCategory;|) #2#))) - |PolynomialCategory;AL|)) - #3#)))) - -(DEFUN |PolynomialCategory;| (|t#1| |t#2| |t#3|) - (PROG (#1=#:G101838) - (RETURN - (PROG1 - (LETT #1# - (|sublisV| - (PAIR - (QUOTE (|t#1| |t#2| |t#3|)) - (LIST - (|devaluate| |t#1|) - (|devaluate| |t#2|) - (|devaluate| |t#3|))) - (COND - (|PolynomialCategory;CAT|) - ((QUOTE T) - (LETT |PolynomialCategory;CAT| - (|Join| - (|PartialDifferentialRing| (QUOTE |t#3|)) - (|FiniteAbelianMonoidRing| (QUOTE |t#1|) (QUOTE |t#2|)) - (|Evalable| (QUOTE |$|)) - (|InnerEvalable| (QUOTE |t#3|) (QUOTE |t#1|)) - (|InnerEvalable| (QUOTE |t#3|) (QUOTE |$|)) - (|RetractableTo| (QUOTE |t#3|)) - (|FullyLinearlyExplicitRingOver| (QUOTE |t#1|)) - (|mkCategory| - (QUOTE |domain|) - (QUOTE ( - ((|degree| ((|NonNegativeInteger|) |$| |t#3|)) T) - ((|degree| - ((|List| (|NonNegativeInteger|)) - |$| - (|List| |t#3|))) T) - ((|coefficient| - (|$| |$| |t#3| (|NonNegativeInteger|))) T) - ((|coefficient| - (|$| - |$| - (|List| |t#3|) - (|List| (|NonNegativeInteger|)))) T) - ((|monomials| ((|List| |$|) |$|)) T) - ((|univariate| - ((|SparseUnivariatePolynomial| |$|) |$| |t#3|)) T) - ((|univariate| - ((|SparseUnivariatePolynomial| |t#1|) |$|)) T) - ((|mainVariable| ((|Union| |t#3| "failed") |$|)) T) - ((|minimumDegree| - ((|NonNegativeInteger|) |$| |t#3|)) T) - ((|minimumDegree| - ((|List| (|NonNegativeInteger|)) - |$| - (|List| |t#3|))) T) - ((|monicDivide| - ((|Record| - (|:| |quotient| |$|) - (|:| |remainder| |$|)) - |$| - |$| - |t#3|)) T) - ((|monomial| (|$| |$| |t#3| (|NonNegativeInteger|))) T) - ((|monomial| - (|$| - |$| - (|List| |t#3|) - (|List| (|NonNegativeInteger|)))) T) - ((|multivariate| - (|$| (|SparseUnivariatePolynomial| |t#1|) |t#3|)) T) - ((|multivariate| - (|$| (|SparseUnivariatePolynomial| |$|) |t#3|)) T) - ((|isPlus| ((|Union| (|List| |$|) "failed") |$|)) T) - ((|isTimes| ((|Union| (|List| |$|) "failed") |$|)) T) - ((|isExpt| - ((|Union| - (|Record| - (|:| |var| |t#3|) - (|:| |exponent| (|NonNegativeInteger|))) - "failed") - |$|)) T) - ((|totalDegree| ((|NonNegativeInteger|) |$|)) T) - ((|totalDegree| - ((|NonNegativeInteger|) |$| (|List| |t#3|))) T) - ((|variables| ((|List| |t#3|) |$|)) T) - ((|primitiveMonomials| ((|List| |$|) |$|)) T) - ((|resultant| (|$| |$| |$| |t#3|)) - (|has| |t#1| (|CommutativeRing|))) - ((|discriminant| (|$| |$| |t#3|)) - (|has| |t#1| (|CommutativeRing|))) - ((|content| (|$| |$| |t#3|)) - (|has| |t#1| (|GcdDomain|))) - ((|primitivePart| (|$| |$|)) - (|has| |t#1| (|GcdDomain|))) - ((|primitivePart| (|$| |$| |t#3|)) - (|has| |t#1| (|GcdDomain|))) - ((|squareFree| ((|Factored| |$|) |$|)) - (|has| |t#1| (|GcdDomain|))) - ((|squareFreePart| (|$| |$|)) ( - |has| |t#1| (|GcdDomain|))))) - (QUOTE ( - ((|OrderedSet|) (|has| |t#1| (|OrderedSet|))) - ((|ConvertibleTo| (|InputForm|)) - (AND - (|has| |t#3| (|ConvertibleTo| (|InputForm|))) - (|has| |t#1| (|ConvertibleTo| (|InputForm|))))) - ((|ConvertibleTo| (|Pattern| (|Integer|))) - (AND - (|has| |t#3| - (|ConvertibleTo| (|Pattern| (|Integer|)))) - (|has| |t#1| - (|ConvertibleTo| (|Pattern| (|Integer|)))))) - ((|ConvertibleTo| (|Pattern| (|Float|))) - (AND - (|has| |t#3| - (|ConvertibleTo| (|Pattern| (|Float|)))) - (|has| |t#1| - (|ConvertibleTo| (|Pattern| (|Float|)))))) - ((|PatternMatchable| (|Integer|)) - (AND - (|has| |t#3| (|PatternMatchable| (|Integer|))) - (|has| |t#1| (|PatternMatchable| (|Integer|))))) - ((|PatternMatchable| (|Float|)) - (AND - (|has| |t#3| (|PatternMatchable| (|Float|))) - (|has| |t#1| (|PatternMatchable| (|Float|))))) - ((|GcdDomain|) (|has| |t#1| (|GcdDomain|))) - (|canonicalUnitNormal| - (|has| |t#1| (ATTRIBUTE |canonicalUnitNormal|))) - ((|PolynomialFactorizationExplicit|) - (|has| |t#1| (|PolynomialFactorizationExplicit|))))) - (QUOTE ( - (|Factored| |$|) - (|List| |$|) - (|List| |t#3|) - (|NonNegativeInteger|) - (|SparseUnivariatePolynomial| |$|) - (|SparseUnivariatePolynomial| |t#1|) - (|List| (|NonNegativeInteger|)))) - NIL)) - . #2=(|PolynomialCategory|))))) - . #2#) - (SETELT #1# 0 - (LIST - (QUOTE |PolynomialCategory|) - (|devaluate| |t#1|) - (|devaluate| |t#2|) - (|devaluate| |t#3|))))))) +(/VERSIONCHECK 2) + +(DEFPARAMETER |PolynomialCategory;CAT| 'NIL) + +(DEFPARAMETER |PolynomialCategory;AL| 'NIL) + +(DEFUN |PolynomialCategory| (&REST #0=#:G1406 &AUX #1=#:G1404) + (DSETQ #1# #0#) + (LET (#2=#:G1405) + (COND + ((SETQ #2# + (|assoc| (|devaluateList| #1#) |PolynomialCategory;AL|)) + (CDR #2#)) + (T (SETQ |PolynomialCategory;AL| + (|cons5| (CONS (|devaluateList| #1#) + (SETQ #2# + (APPLY #'|PolynomialCategory;| #1#))) + |PolynomialCategory;AL|)) + #2#)))) +(DEFUN |PolynomialCategory;| (|t#1| |t#2| |t#3|) + (PROG (#0=#:G1403) + (RETURN + (PROG1 (LETT #0# + (|sublisV| + (PAIR '(|t#1| |t#2| |t#3|) + (LIST (|devaluate| |t#1|) + (|devaluate| |t#2|) + (|devaluate| |t#3|))) + (COND + (|PolynomialCategory;CAT|) + ('T + (LETT |PolynomialCategory;CAT| + (|Join| (|PartialDifferentialRing| + '|t#3|) + (|FiniteAbelianMonoidRing| + '|t#1| '|t#2|) + (|Evalable| '$) + (|InnerEvalable| '|t#3| '|t#1|) + (|InnerEvalable| '|t#3| '$) + (|RetractableTo| '|t#3|) + (|FullyLinearlyExplicitRingOver| + '|t#1|) + (|mkCategory| '|domain| + '(((|degree| + ((|NonNegativeInteger|) $ + |t#3|)) + T) + ((|degree| + ((|List| + (|NonNegativeInteger|)) + $ (|List| |t#3|))) + T) + ((|coefficient| + ($ $ |t#3| + (|NonNegativeInteger|))) + T) + ((|coefficient| + ($ $ (|List| |t#3|) + (|List| + (|NonNegativeInteger|)))) + T) + ((|monomials| + ((|List| $) $)) + T) + ((|univariate| + ((|SparseUnivariatePolynomial| + $) + $ |t#3|)) + T) + ((|univariate| + ((|SparseUnivariatePolynomial| + |t#1|) + $)) + T) + ((|mainVariable| + ((|Union| |t#3| "failed") + $)) + T) + ((|minimumDegree| + ((|NonNegativeInteger|) $ + |t#3|)) + T) + ((|minimumDegree| + ((|List| + (|NonNegativeInteger|)) + $ (|List| |t#3|))) + T) + ((|monicDivide| + ((|Record| + (|:| |quotient| $) + (|:| |remainder| $)) + $ $ |t#3|)) + T) + ((|monomial| + ($ $ |t#3| + (|NonNegativeInteger|))) + T) + ((|monomial| + ($ $ (|List| |t#3|) + (|List| + (|NonNegativeInteger|)))) + T) + ((|multivariate| + ($ + (|SparseUnivariatePolynomial| + |t#1|) + |t#3|)) + T) + ((|multivariate| + ($ + (|SparseUnivariatePolynomial| + $) + |t#3|)) + T) + ((|isPlus| + ((|Union| (|List| $) + "failed") + $)) + T) + ((|isTimes| + ((|Union| (|List| $) + "failed") + $)) + T) + ((|isExpt| + ((|Union| + (|Record| + (|:| |var| |t#3|) + (|:| |exponent| + (|NonNegativeInteger|))) + "failed") + $)) + T) + ((|totalDegree| + ((|NonNegativeInteger|) $)) + T) + ((|totalDegree| + ((|NonNegativeInteger|) $ + (|List| |t#3|))) + T) + ((|variables| + ((|List| |t#3|) $)) + T) + ((|primitiveMonomials| + ((|List| $) $)) + T) + ((|resultant| ($ $ $ |t#3|)) + (|has| |t#1| + (|CommutativeRing|))) + ((|discriminant| + ($ $ |t#3|)) + (|has| |t#1| + (|CommutativeRing|))) + ((|content| ($ $ |t#3|)) + (|has| |t#1| (|GcdDomain|))) + ((|primitivePart| ($ $)) + (|has| |t#1| (|GcdDomain|))) + ((|primitivePart| + ($ $ |t#3|)) + (|has| |t#1| (|GcdDomain|))) + ((|squareFree| + ((|Factored| $) $)) + (|has| |t#1| (|GcdDomain|))) + ((|squareFreePart| ($ $)) + (|has| |t#1| (|GcdDomain|)))) + '(((|OrderedSet|) + (|has| |t#1| + (|OrderedSet|))) + ((|ConvertibleTo| + (|InputForm|)) + (AND + (|has| |t#3| + (|ConvertibleTo| + (|InputForm|))) + (|has| |t#1| + (|ConvertibleTo| + (|InputForm|))))) + ((|ConvertibleTo| + (|Pattern| (|Integer|))) + (AND + (|has| |t#3| + (|ConvertibleTo| + (|Pattern| (|Integer|)))) + (|has| |t#1| + (|ConvertibleTo| + (|Pattern| (|Integer|)))))) + ((|ConvertibleTo| + (|Pattern| (|Float|))) + (AND + (|has| |t#3| + (|ConvertibleTo| + (|Pattern| (|Float|)))) + (|has| |t#1| + (|ConvertibleTo| + (|Pattern| (|Float|)))))) + ((|PatternMatchable| + (|Integer|)) + (AND + (|has| |t#3| + (|PatternMatchable| + (|Integer|))) + (|has| |t#1| + (|PatternMatchable| + (|Integer|))))) + ((|PatternMatchable| + (|Float|)) + (AND + (|has| |t#3| + (|PatternMatchable| + (|Float|))) + (|has| |t#1| + (|PatternMatchable| + (|Float|))))) + ((|GcdDomain|) + (|has| |t#1| (|GcdDomain|))) + (|canonicalUnitNormal| + (|has| |t#1| + (ATTRIBUTE + |canonicalUnitNormal|))) + ((|PolynomialFactorizationExplicit|) + (|has| |t#1| + (|PolynomialFactorizationExplicit|)))) + '((|Factored| $) (|List| $) + (|List| |t#3|) + (|NonNegativeInteger|) + (|SparseUnivariatePolynomial| + $) + (|SparseUnivariatePolynomial| + |t#1|) + (|List| + (|NonNegativeInteger|))) + NIL)) + . #1=(|PolynomialCategory|))))) . #1#) + (SETELT #0# 0 + (LIST '|PolynomialCategory| (|devaluate| |t#1|) + (|devaluate| |t#2|) (|devaluate| |t#3|))))))) @ \section{POLYCAT-.lsp BOOTSTRAP} {\bf POLYCAT-} depends on {\bf POLYCAT}. We need to break this cycle to build @@ -795,1927 +866,1709 @@ Note that this code is not included in the generated catdef.spad file. <<POLYCAT-.lsp BOOTSTRAP>>= -(|/VERSIONCHECK| 2) - -(DEFUN |POLYCAT-;eval;SLS;1| (|p| |l| |$|) - (PROG (#1=#:G101870 #2=#:G101860 #3=#:G101868 #4=#:G101869 - |lvar| #5=#:G101866 |e| #6=#:G101867) - (RETURN - (SEQ - (COND - ((NULL |l|) |p|) - ((QUOTE T) - (SEQ - (SEQ - (EXIT - (SEQ - (LETT |e| NIL |POLYCAT-;eval;SLS;1|) - (LETT #1# |l| |POLYCAT-;eval;SLS;1|) - G190 - (COND - ((OR - (ATOM #1#) - (PROGN (LETT |e| (CAR #1#) |POLYCAT-;eval;SLS;1|) NIL)) - (GO G191))) - (SEQ - (EXIT - (COND - ((QEQCAR - (SPADCALL - (SPADCALL |e| (QREFELT |$| 11)) - (QREFELT |$| 13)) - 1) - (PROGN - (LETT #2# - (|error| "cannot find a variable to evaluate") - |POLYCAT-;eval;SLS;1|) - (GO #2#)))))) - (LETT #1# (CDR #1#) |POLYCAT-;eval;SLS;1|) - (GO G190) - G191 - (EXIT NIL))) - #2# - (EXIT #2#)) - (LETT |lvar| - (PROGN - (LETT #3# NIL |POLYCAT-;eval;SLS;1|) - (SEQ - (LETT |e| NIL |POLYCAT-;eval;SLS;1|) - (LETT #4# |l| |POLYCAT-;eval;SLS;1|) - G190 - (COND - ((OR - (ATOM #4#) - (PROGN - (LETT |e| (CAR #4#) |POLYCAT-;eval;SLS;1|) NIL)) - (GO G191))) - (SEQ - (EXIT - (LETT #3# - (CONS - (SPADCALL - (SPADCALL |e| (QREFELT |$| 11)) - (QREFELT |$| 14)) - #3#) - |POLYCAT-;eval;SLS;1|))) - (LETT #4# (CDR #4#) |POLYCAT-;eval;SLS;1|) - (GO G190) - G191 - (EXIT (NREVERSE0 #3#)))) - |POLYCAT-;eval;SLS;1|) - (EXIT - (SPADCALL - |p| - |lvar| - (PROGN - (LETT #5# NIL |POLYCAT-;eval;SLS;1|) - (SEQ - (LETT |e| NIL |POLYCAT-;eval;SLS;1|) - (LETT #6# |l| |POLYCAT-;eval;SLS;1|) - G190 - (COND - ((OR - (ATOM #6#) - (PROGN - (LETT |e| (CAR #6#) |POLYCAT-;eval;SLS;1|) - NIL)) - (GO G191))) - (SEQ - (EXIT - (LETT #5# - (CONS (SPADCALL |e| (QREFELT |$| 15)) #5#) - |POLYCAT-;eval;SLS;1|))) - (LETT #6# (CDR #6#) |POLYCAT-;eval;SLS;1|) - (GO G190) - G191 - (EXIT (NREVERSE0 #5#)))) - (QREFELT |$| 18)))))))))) - -(DEFUN |POLYCAT-;monomials;SL;2| (|p| |$|) - (PROG (|ml|) - (RETURN - (SEQ - (LETT |ml| NIL |POLYCAT-;monomials;SL;2|) - (SEQ G190 - (COND - ((NULL - (COND - ((SPADCALL |p| (|spadConstant| |$| 21) (QREFELT |$| 24)) - (QUOTE NIL)) - ((QUOTE T) (QUOTE T)))) - (GO G191))) - (SEQ - (LETT |ml| - (CONS (SPADCALL |p| (QREFELT |$| 25)) |ml|) - |POLYCAT-;monomials;SL;2|) - (EXIT - (LETT |p| - (SPADCALL |p| (QREFELT |$| 26)) - |POLYCAT-;monomials;SL;2|))) - NIL - (GO G190) - G191 - (EXIT NIL)) - (EXIT (REVERSE |ml|)))))) - -(DEFUN |POLYCAT-;isPlus;SU;3| (|p| |$|) - (PROG (|l|) - (RETURN - (COND - ((NULL - (CDR - (LETT |l| - (SPADCALL |p| (QREFELT |$| 28)) - |POLYCAT-;isPlus;SU;3|))) - (CONS 1 "failed")) - ((QUOTE T) (CONS 0 |l|)))))) - -(DEFUN |POLYCAT-;isTimes;SU;4| (|p| |$|) - (PROG (|lv| #1=#:G101892 |v| #2=#:G101893 |l| |r|) - (RETURN - (SEQ - (COND - ((OR - (NULL - (LETT |lv| - (SPADCALL |p| (QREFELT |$| 31)) - |POLYCAT-;isTimes;SU;4|)) - (NULL (SPADCALL |p| (QREFELT |$| 32)))) - (CONS 1 "failed")) - ((QUOTE T) - (SEQ - (LETT |l| - (PROGN - (LETT #1# NIL |POLYCAT-;isTimes;SU;4|) - (SEQ - (LETT |v| NIL |POLYCAT-;isTimes;SU;4|) - (LETT #2# |lv| |POLYCAT-;isTimes;SU;4|) - G190 - (COND - ((OR - (ATOM #2#) - (PROGN - (LETT |v| (CAR #2#) |POLYCAT-;isTimes;SU;4|) - NIL)) - (GO G191))) - (SEQ - (EXIT - (LETT #1# - (CONS - (SPADCALL - (|spadConstant| |$| 33) - |v| - (SPADCALL |p| |v| (QREFELT |$| 36)) - (QREFELT |$| 37)) - #1#) - |POLYCAT-;isTimes;SU;4|))) - (LETT #2# (CDR #2#) |POLYCAT-;isTimes;SU;4|) - (GO G190) - G191 - (EXIT (NREVERSE0 #1#)))) - |POLYCAT-;isTimes;SU;4|) - (EXIT - (COND - ((SPADCALL - (LETT |r| - (SPADCALL |p| (QREFELT |$| 38)) - |POLYCAT-;isTimes;SU;4|) - (QREFELT |$| 39)) - (COND - ((NULL (CDR |lv|)) (CONS 1 "failed")) - ((QUOTE T) (CONS 0 |l|)))) - ((QUOTE T) - (CONS 0 - (CONS (SPADCALL |r| (QREFELT |$| 40)) |l|)))))))))))) - -(DEFUN |POLYCAT-;isExpt;SU;5| (|p| |$|) - (PROG (|u| |d|) - (RETURN - (SEQ - (LETT |u| (SPADCALL |p| (QREFELT |$| 42)) |POLYCAT-;isExpt;SU;5|) - (EXIT - (COND - ((OR - (QEQCAR |u| 1) - (NULL - (SPADCALL |p| - (SPADCALL - (|spadConstant| |$| 33) - (QCDR |u|) - (LETT |d| - (SPADCALL |p| (QCDR |u|) (QREFELT |$| 36)) - |POLYCAT-;isExpt;SU;5|) - (QREFELT |$| 37)) - (QREFELT |$| 24)))) +(/VERSIONCHECK 2) + +(DEFUN |POLYCAT-;eval;SLS;1| (|p| |l| $) + (PROG (#0=#:G1420 #1=#:G1414 #2=#:G1421 #3=#:G1422 |lvar| #4=#:G1423 + |e| #5=#:G1424) + (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| (QREFELT $ 11)) + (QREFELT $ 13)) + 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| (QREFELT $ 11)) + (QREFELT $ 14)) + #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| (QREFELT $ 15)) + #4#) + |POLYCAT-;eval;SLS;1|))) + (LETT #5# (CDR #5#) + |POLYCAT-;eval;SLS;1|) + (GO G190) G191 + (EXIT (NREVERSE0 #4#)))) + (QREFELT $ 18)))))))))) + +(DEFUN |POLYCAT-;monomials;SL;2| (|p| $) + (PROG (|ml|) + (RETURN + (SEQ (LETT |ml| NIL |POLYCAT-;monomials;SL;2|) + (SEQ G190 + (COND + ((NULL (SPADCALL + (SPADCALL |p| (|spadConstant| $ 21) + (QREFELT $ 24)) + (QREFELT $ 25))) + (GO G191))) + (SEQ (LETT |ml| + (CONS (SPADCALL |p| (QREFELT $ 26)) |ml|) + |POLYCAT-;monomials;SL;2|) + (EXIT (LETT |p| (SPADCALL |p| (QREFELT $ 27)) + |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| (QREFELT $ 29)) + |POLYCAT-;isPlus;SU;3|))) + (CONS 1 "failed")) + ('T (CONS 0 |l|)))))) + +(DEFUN |POLYCAT-;isTimes;SU;4| (|p| $) + (PROG (|lv| #0=#:G1446 |v| #1=#:G1447 |l| |r|) + (RETURN + (SEQ (COND + ((OR (NULL (LETT |lv| (SPADCALL |p| (QREFELT $ 32)) + |POLYCAT-;isTimes;SU;4|)) + (NULL (SPADCALL |p| (QREFELT $ 33)))) (CONS 1 "failed")) - ((QUOTE T) (CONS 0 (CONS (QCDR |u|) |d|))))))))) - -(DEFUN |POLYCAT-;coefficient;SVarSetNniS;6| (|p| |v| |n| |$|) - (SPADCALL (SPADCALL |p| |v| (QREFELT |$| 47)) |n| (QREFELT |$| 49))) - -(DEFUN |POLYCAT-;coefficient;SLLS;7| (|p| |lv| |ln| |$|) - (COND - ((NULL |lv|) - (COND - ((NULL |ln|) |p|) - ((QUOTE T) (|error| "mismatched lists in coefficient")))) - ((NULL |ln|) - (|error| "mismatched lists in coefficient")) - ((QUOTE T) - (SPADCALL - (SPADCALL - (SPADCALL |p| (|SPADfirst| |lv|) (QREFELT |$| 47)) - (|SPADfirst| |ln|) - (QREFELT |$| 49)) - (CDR |lv|) - (CDR |ln|) - (QREFELT |$| 52))))) - -(DEFUN |POLYCAT-;monomial;SLLS;8| (|p| |lv| |ln| |$|) - (COND - ((NULL |lv|) - (COND - ((NULL |ln|) |p|) - ((QUOTE T) (|error| "mismatched lists in monomial")))) - ((NULL |ln|) - (|error| "mismatched lists in monomial")) - ((QUOTE T) - (SPADCALL - (SPADCALL |p| (|SPADfirst| |lv|) (|SPADfirst| |ln|) (QREFELT |$| 37)) - (CDR |lv|) - (CDR |ln|) - (QREFELT |$| 54))))) - -(DEFUN |POLYCAT-;retract;SVarSet;9| (|p| |$|) - (PROG (#1=#:G101918 |q|) - (RETURN - (SEQ - (LETT |q| - (PROG2 - (LETT #1# - (SPADCALL |p| (QREFELT |$| 42)) - |POLYCAT-;retract;SVarSet;9|) - (QCDR #1#) - (|check-union| (QEQCAR #1# 0) (QREFELT |$| 9) #1#)) - |POLYCAT-;retract;SVarSet;9|) - (EXIT - (COND - ((SPADCALL - (SPADCALL |q| (QREFELT |$| 56)) - |p| - (QREFELT |$| 24)) - |q|) - ((QUOTE T) - (|error| "Polynomial is not a single variable")))))))) - -(DEFUN |POLYCAT-;retractIfCan;SU;10| (|p| |$|) - (PROG (|q| #1=#:G101926) - (RETURN - (SEQ - (EXIT - (SEQ - (SEQ - (LETT |q| - (SPADCALL |p| (QREFELT |$| 42)) - |POLYCAT-;retractIfCan;SU;10|) - (EXIT - (COND - ((QEQCAR |q| 0) - (COND - ((SPADCALL - (SPADCALL (QCDR |q|) (QREFELT |$| 56)) - |p| - (QREFELT |$| 24)) - (PROGN - (LETT #1# |q| |POLYCAT-;retractIfCan;SU;10|) - (GO #1#)))))))) - (EXIT (CONS 1 "failed")))) - #1# - (EXIT #1#))))) - -(DEFUN |POLYCAT-;mkPrim| (|p| |$|) - (SPADCALL - (|spadConstant| |$| 34) - (SPADCALL |p| (QREFELT |$| 59)) - (QREFELT |$| 60))) - -(DEFUN |POLYCAT-;primitiveMonomials;SL;12| (|p| |$|) - (PROG (#1=#:G101931 |q| #2=#:G101932) - (RETURN - (SEQ - (PROGN - (LETT #1# NIL |POLYCAT-;primitiveMonomials;SL;12|) - (SEQ - (LETT |q| NIL |POLYCAT-;primitiveMonomials;SL;12|) - (LETT #2# - (SPADCALL |p| (QREFELT |$| 28)) - |POLYCAT-;primitiveMonomials;SL;12|) - G190 - (COND - ((OR - (ATOM #2#) - (PROGN - (LETT |q| (CAR #2#) |POLYCAT-;primitiveMonomials;SL;12|) - NIL)) - (GO G191))) - (SEQ - (EXIT - (LETT #1# - (CONS - (|POLYCAT-;mkPrim| |q| |$|) - #1#) - |POLYCAT-;primitiveMonomials;SL;12|))) - (LETT #2# (CDR #2#) |POLYCAT-;primitiveMonomials;SL;12|) - (GO G190) - G191 - (EXIT (NREVERSE0 #1#)))))))) - -(DEFUN |POLYCAT-;totalDegree;SNni;13| (|p| |$|) - (PROG (#1=#:G101934 |d| |u|) - (RETURN - (SEQ - (COND - ((SPADCALL |p| (QREFELT |$| 62)) 0) - ((QUOTE T) - (SEQ - (LETT |u| - (SPADCALL |p| - (PROG2 - (LETT #1# - (SPADCALL |p| (QREFELT |$| 42)) - |POLYCAT-;totalDegree;SNni;13|) - (QCDR #1#) - (|check-union| (QEQCAR #1# 0) (QREFELT |$| 9) #1#)) - (QREFELT |$| 47)) - |POLYCAT-;totalDegree;SNni;13|) - (LETT |d| 0 |POLYCAT-;totalDegree;SNni;13|) - (SEQ G190 - (COND - ((NULL - (COND - ((SPADCALL |u| (|spadConstant| |$| 63) (QREFELT |$| 64)) - (QUOTE NIL)) - ((QUOTE T) (QUOTE T)))) (GO G191))) - (SEQ - (LETT |d| - (MAX |d| - (|+| - (SPADCALL |u| (QREFELT |$| 65)) - (SPADCALL - (SPADCALL |u| (QREFELT |$| 66)) - (QREFELT |$| 67)))) - |POLYCAT-;totalDegree;SNni;13|) - (EXIT - (LETT |u| - (SPADCALL |u| (QREFELT |$| 68)) - |POLYCAT-;totalDegree;SNni;13|))) - NIL - (GO G190) - G191 - (EXIT NIL)) - (EXIT |d|)))))))) - -(DEFUN |POLYCAT-;totalDegree;SLNni;14| (|p| |lv| |$|) - (PROG (#1=#:G101942 |v| |w| |d| |u|) - (RETURN - (SEQ - (COND - ((SPADCALL |p| (QREFELT |$| 62)) 0) - ((QUOTE T) - (SEQ - (LETT |u| - (SPADCALL |p| - (LETT |v| - (PROG2 - (LETT #1# - (SPADCALL |p| (QREFELT |$| 42)) - |POLYCAT-;totalDegree;SLNni;14|) - (QCDR #1#) - (|check-union| (QEQCAR #1# 0) (QREFELT |$| 9) #1#)) - |POLYCAT-;totalDegree;SLNni;14|) - (QREFELT |$| 47)) - |POLYCAT-;totalDegree;SLNni;14|) - (LETT |d| 0 |POLYCAT-;totalDegree;SLNni;14|) - (LETT |w| 0 |POLYCAT-;totalDegree;SLNni;14|) - (COND - ((SPADCALL |v| |lv| (QREFELT |$| 70)) - (LETT |w| 1 |POLYCAT-;totalDegree;SLNni;14|))) - (SEQ G190 - (COND - ((NULL - (COND - ((SPADCALL |u| (|spadConstant| |$| 63) (QREFELT |$| 64)) - (QUOTE NIL)) - ((QUOTE T) (QUOTE T)))) - (GO G191))) - (SEQ - (LETT |d| - (MAX |d| - (|+| - (|*| |w| (SPADCALL |u| (QREFELT |$| 65))) - (SPADCALL - (SPADCALL |u| (QREFELT |$| 66)) - |lv| - (QREFELT |$| 71)))) - |POLYCAT-;totalDegree;SLNni;14|) - (EXIT - (LETT |u| - (SPADCALL |u| (QREFELT |$| 68)) - |POLYCAT-;totalDegree;SLNni;14|))) - NIL - (GO G190) - G191 - (EXIT NIL)) - (EXIT |d|)))))))) - -(DEFUN |POLYCAT-;resultant;2SVarSetS;15| (|p1| |p2| |mvar| |$|) - (SPADCALL - (SPADCALL |p1| |mvar| (QREFELT |$| 47)) - (SPADCALL |p2| |mvar| (QREFELT |$| 47)) - (QREFELT |$| 73))) - -(DEFUN |POLYCAT-;discriminant;SVarSetS;16| (|p| |var| |$|) - (SPADCALL (SPADCALL |p| |var| (QREFELT |$| 47)) (QREFELT |$| 75))) - -(DEFUN |POLYCAT-;allMonoms| (|l| |$|) - (PROG (#1=#:G101954 |p| #2=#:G101955) - (RETURN - (SEQ - (SPADCALL - (SPADCALL - (PROGN - (LETT #1# NIL |POLYCAT-;allMonoms|) - (SEQ - (LETT |p| NIL |POLYCAT-;allMonoms|) - (LETT #2# |l| |POLYCAT-;allMonoms|) - G190 - (COND - ((OR - (ATOM #2#) - (PROGN (LETT |p| (CAR #2#) |POLYCAT-;allMonoms|) NIL)) - (GO G191))) - (SEQ - (EXIT - (LETT #1# - (CONS (SPADCALL |p| (QREFELT |$| 77)) #1#) - |POLYCAT-;allMonoms|))) - (LETT #2# (CDR #2#) |POLYCAT-;allMonoms|) - (GO G190) - G191 - (EXIT (NREVERSE0 #1#)))) - (QREFELT |$| 79)) - (QREFELT |$| 80)))))) - -(DEFUN |POLYCAT-;P2R| (|p| |b| |n| |$|) - (PROG (|w| |bj| #1=#:G101960 |i| #2=#:G101959) - (RETURN - (SEQ - (LETT |w| - (SPADCALL |n| (|spadConstant| |$| 22) (QREFELT |$| 82)) - |POLYCAT-;P2R|) - (SEQ - (LETT |bj| NIL |POLYCAT-;P2R|) - (LETT #1# |b| |POLYCAT-;P2R|) - (LETT |i| (SPADCALL |w| (QREFELT |$| 84)) |POLYCAT-;P2R|) - (LETT #2# (QVSIZE |w|) |POLYCAT-;P2R|) - G190 - (COND - ((OR - (|>| |i| #2#) - (ATOM #1#) - (PROGN (LETT |bj| (CAR #1#) |POLYCAT-;P2R|) NIL)) - (GO G191))) - (SEQ - (EXIT - (SPADCALL |w| |i| - (SPADCALL |p| |bj| (QREFELT |$| 85)) - (QREFELT |$| 86)))) - (LETT |i| - (PROG1 - (|+| |i| 1) - (LETT #1# (CDR #1#) |POLYCAT-;P2R|)) - |POLYCAT-;P2R|) - (GO G190) - G191 - (EXIT NIL)) - (EXIT |w|))))) - -(DEFUN |POLYCAT-;eq2R| (|l| |b| |$|) - (PROG (#1=#:G101964 |bj| #2=#:G101965 #3=#:G101966 |p| #4=#:G101967) - (RETURN - (SEQ - (SPADCALL - (PROGN - (LETT #1# NIL |POLYCAT-;eq2R|) - (SEQ - (LETT |bj| NIL |POLYCAT-;eq2R|) - (LETT #2# |b| |POLYCAT-;eq2R|) - G190 - (COND - ((OR - (ATOM #2#) - (PROGN (LETT |bj| (CAR #2#) |POLYCAT-;eq2R|) NIL)) - (GO G191))) - (SEQ - (EXIT - (LETT #1# - (CONS - (PROGN - (LETT #3# NIL |POLYCAT-;eq2R|) - (SEQ - (LETT |p| NIL |POLYCAT-;eq2R|) - (LETT #4# |l| |POLYCAT-;eq2R|) - G190 - (COND - ((OR - (ATOM #4#) - (PROGN - (LETT |p| (CAR #4#) |POLYCAT-;eq2R|) - NIL)) - (GO G191))) - (SEQ - (EXIT - (LETT #3# - (CONS (SPADCALL |p| |bj| (QREFELT |$| 85)) #3#) - |POLYCAT-;eq2R|))) - (LETT #4# (CDR #4#) |POLYCAT-;eq2R|) - (GO G190) - G191 - (EXIT (NREVERSE0 #3#)))) - #1#) - |POLYCAT-;eq2R|))) - (LETT #2# (CDR #2#) |POLYCAT-;eq2R|) - (GO G190) - G191 - (EXIT (NREVERSE0 #1#)))) - (QREFELT |$| 89)))))) - -(DEFUN |POLYCAT-;reducedSystem;MM;20| (|m| |$|) - (PROG (#1=#:G101979 |r| #2=#:G101980 |b| #3=#:G101977 - |bj| #4=#:G101978 |d| |mm| |l|) - (RETURN - (SEQ - (LETT |l| - (SPADCALL |m| (QREFELT |$| 92)) - |POLYCAT-;reducedSystem;MM;20|) - (LETT |b| - (SPADCALL - (SPADCALL - (PROGN - (LETT #1# NIL |POLYCAT-;reducedSystem;MM;20|) - (SEQ - (LETT |r| NIL |POLYCAT-;reducedSystem;MM;20|) - (LETT #2# |l| |POLYCAT-;reducedSystem;MM;20|) + ('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| $ 34) + |v| + (SPADCALL |p| |v| + (QREFELT $ 37)) + (QREFELT $ 38)) + #0#) + |POLYCAT-;isTimes;SU;4|))) + (LETT #1# (CDR #1#) + |POLYCAT-;isTimes;SU;4|) + (GO G190) G191 (EXIT (NREVERSE0 #0#)))) + |POLYCAT-;isTimes;SU;4|) + (LETT |r| (SPADCALL |p| (QREFELT $ 39)) + |POLYCAT-;isTimes;SU;4|) + (EXIT (COND + ((SPADCALL |r| (|spadConstant| $ 35) + (QREFELT $ 40)) + (COND + ((NULL (CDR |lv|)) (CONS 1 "failed")) + ('T (CONS 0 |l|)))) + ('T + (CONS 0 + (CONS (SPADCALL |r| (QREFELT $ 41)) + |l|)))))))))))) + +(DEFUN |POLYCAT-;isExpt;SU;5| (|p| $) + (PROG (|u| |d|) + (RETURN + (SEQ (LETT |u| (SPADCALL |p| (QREFELT $ 43)) + |POLYCAT-;isExpt;SU;5|) + (EXIT (COND + ((OR (QEQCAR |u| 1) + (NULL (SPADCALL |p| + (SPADCALL (|spadConstant| $ 34) + (QCDR |u|) + (LETT |d| + (SPADCALL |p| (QCDR |u|) + (QREFELT $ 37)) + |POLYCAT-;isExpt;SU;5|) + (QREFELT $ 38)) + (QREFELT $ 24)))) + (CONS 1 "failed")) + ('T (CONS 0 (CONS (QCDR |u|) |d|))))))))) + +(DEFUN |POLYCAT-;coefficient;SVarSetNniS;6| (|p| |v| |n| $) + (SPADCALL (SPADCALL |p| |v| (QREFELT $ 48)) |n| (QREFELT $ 50))) + +(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|) (QREFELT $ 48)) + (|SPADfirst| |ln|) (QREFELT $ 50)) + (CDR |lv|) (CDR |ln|) (QREFELT $ 53))))) + +(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|) + (QREFELT $ 38)) + (CDR |lv|) (CDR |ln|) (QREFELT $ 55))))) + +(DEFUN |POLYCAT-;retract;SVarSet;9| (|p| $) + (PROG (#0=#:G1472 |q|) + (RETURN + (SEQ (LETT |q| + (PROG2 (LETT #0# (SPADCALL |p| (QREFELT $ 43)) + |POLYCAT-;retract;SVarSet;9|) + (QCDR #0#) + (|check-union| (QEQCAR #0# 0) (QREFELT $ 9) #0#)) + |POLYCAT-;retract;SVarSet;9|) + (EXIT (COND + ((SPADCALL (SPADCALL |q| (QREFELT $ 57)) |p| + (QREFELT $ 24)) + |q|) + ('T (|error| "Polynomial is not a single variable")))))))) + +(DEFUN |POLYCAT-;retractIfCan;SU;10| (|p| $) + (PROG (|q| #0=#:G1480) + (RETURN + (SEQ (EXIT (SEQ (SEQ (LETT |q| (SPADCALL |p| (QREFELT $ 43)) + |POLYCAT-;retractIfCan;SU;10|) + (EXIT (COND + ((QEQCAR |q| 0) + (COND + ((SPADCALL + (SPADCALL (QCDR |q|) + (QREFELT $ 57)) + |p| (QREFELT $ 24)) + (PROGN + (LETT #0# |q| + |POLYCAT-;retractIfCan;SU;10|) + (GO #0#)))))))) + (EXIT (CONS 1 "failed")))) + #0# (EXIT #0#))))) + +(DEFUN |POLYCAT-;mkPrim| (|p| $) + (SPADCALL (|spadConstant| $ 35) (SPADCALL |p| (QREFELT $ 60)) + (QREFELT $ 61))) + +(DEFUN |POLYCAT-;primitiveMonomials;SL;12| (|p| $) + (PROG (#0=#:G1485 |q| #1=#:G1486) + (RETURN + (SEQ (PROGN + (LETT #0# NIL |POLYCAT-;primitiveMonomials;SL;12|) + (SEQ (LETT |q| NIL |POLYCAT-;primitiveMonomials;SL;12|) + (LETT #1# (SPADCALL |p| (QREFELT $ 29)) + |POLYCAT-;primitiveMonomials;SL;12|) G190 - (COND - ((OR - (ATOM #2#) - (PROGN - (LETT |r| (CAR #2#) |POLYCAT-;reducedSystem;MM;20|) - NIL)) - (GO G191))) - (SEQ - (EXIT - (LETT #1# - (CONS (|POLYCAT-;allMonoms| |r| |$|) #1#) - |POLYCAT-;reducedSystem;MM;20|))) - (LETT #2# (CDR #2#) |POLYCAT-;reducedSystem;MM;20|) - (GO G190) - G191 - (EXIT (NREVERSE0 #1#)))) - (QREFELT |$| 79)) - (QREFELT |$| 80)) - |POLYCAT-;reducedSystem;MM;20|) - (LETT |d| - (PROGN - (LETT #3# NIL |POLYCAT-;reducedSystem;MM;20|) - (SEQ - (LETT |bj| NIL |POLYCAT-;reducedSystem;MM;20|) - (LETT #4# |b| |POLYCAT-;reducedSystem;MM;20|) - G190 - (COND - ((OR - (ATOM #4#) - (PROGN - (LETT |bj| (CAR #4#) |POLYCAT-;reducedSystem;MM;20|) - NIL)) - (GO G191))) - (SEQ - (EXIT - (LETT #3# - (CONS (SPADCALL |bj| (QREFELT |$| 59)) #3#) - |POLYCAT-;reducedSystem;MM;20|))) - (LETT #4# (CDR #4#) |POLYCAT-;reducedSystem;MM;20|) - (GO G190) - G191 - (EXIT (NREVERSE0 #3#)))) - |POLYCAT-;reducedSystem;MM;20|) - (LETT |mm| - (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| |$|) - |POLYCAT-;reducedSystem;MM;20|) - (LETT |l| (CDR |l|) |POLYCAT-;reducedSystem;MM;20|) - (SEQ G190 - (COND - ((NULL (COND ((NULL |l|) (QUOTE NIL)) ((QUOTE T) (QUOTE T)))) - (GO G191))) - (SEQ - (LETT |mm| - (SPADCALL |mm| - (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| |$|) (QREFELT |$| 93)) - |POLYCAT-;reducedSystem;MM;20|) - (EXIT (LETT |l| (CDR |l|) |POLYCAT-;reducedSystem;MM;20|))) - NIL - (GO G190) - G191 - (EXIT NIL)) - (EXIT |mm|))))) - -(DEFUN |POLYCAT-;reducedSystem;MVR;21| (|m| |v| |$|) - (PROG (#1=#:G101994 |s| #2=#:G101995 |b| #3=#:G101992 |bj| #4=#:G101993 - |d| |n| |mm| |w| |l| |r|) - (RETURN - (SEQ - (LETT |l| (SPADCALL |m| (QREFELT |$| 92)) |POLYCAT-;reducedSystem;MVR;21|) - (LETT |r| (SPADCALL |v| (QREFELT |$| 97)) |POLYCAT-;reducedSystem;MVR;21|) - (LETT |b| - (SPADCALL - (SPADCALL - (|POLYCAT-;allMonoms| |r| |$|) - (SPADCALL - (PROGN - (LETT #1# NIL |POLYCAT-;reducedSystem;MVR;21|) - (SEQ - (LETT |s| NIL |POLYCAT-;reducedSystem;MVR;21|) - (LETT #2# |l| |POLYCAT-;reducedSystem;MVR;21|) - G190 - (COND - ((OR - (ATOM #2#) - (PROGN - (LETT |s| (CAR #2#) |POLYCAT-;reducedSystem;MVR;21|) + (COND + ((OR (ATOM #1#) + (PROGN + (LETT |q| (CAR #1#) + |POLYCAT-;primitiveMonomials;SL;12|) NIL)) - (GO G191))) - (SEQ - (EXIT - (LETT #1# - (CONS (|POLYCAT-;allMonoms| |s| |$|) #1#) - |POLYCAT-;reducedSystem;MVR;21|))) - (LETT #2# (CDR #2#) |POLYCAT-;reducedSystem;MVR;21|) - (GO G190) - G191 - (EXIT (NREVERSE0 #1#)))) - (QREFELT |$| 79)) - (QREFELT |$| 98)) - (QREFELT |$| 80)) - |POLYCAT-;reducedSystem;MVR;21|) - (LETT |d| - (PROGN - (LETT #3# NIL |POLYCAT-;reducedSystem;MVR;21|) - (SEQ - (LETT |bj| NIL |POLYCAT-;reducedSystem;MVR;21|) - (LETT #4# |b| |POLYCAT-;reducedSystem;MVR;21|) - G190 - (COND - ((OR - (ATOM #4#) - (PROGN - (LETT |bj| (CAR #4#) |POLYCAT-;reducedSystem;MVR;21|) - NIL)) - (GO G191))) - (SEQ - (EXIT - (LETT #3# - (CONS (SPADCALL |bj| (QREFELT |$| 59)) #3#) - |POLYCAT-;reducedSystem;MVR;21|))) - (LETT #4# (CDR #4#) |POLYCAT-;reducedSystem;MVR;21|) - (GO G190) - G191 - (EXIT (NREVERSE0 #3#)))) - |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 (COND ((NULL |l|) (QUOTE NIL)) ((QUOTE T) (QUOTE T)))) - (GO G191))) - (SEQ - (LETT |mm| - (SPADCALL |mm| - (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| |$|) - (QREFELT |$| 93)) - |POLYCAT-;reducedSystem;MVR;21|) - (LETT |w| - (SPADCALL |w| - (|POLYCAT-;P2R| (|SPADfirst| |r|) |d| |n| |$|) - (QREFELT |$| 99)) - |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| |$|) - (SPADCALL |pp| |qq| (QREFELT |$| 104))) - -(DEFUN |POLYCAT-;solveLinearPolynomialEquation;LSupU;23| (|lpp| |pp| |$|) - (SPADCALL |lpp| |pp| (QREFELT |$| 109))) - -(DEFUN |POLYCAT-;factorPolynomial;SupF;24| (|pp| |$|) - (SPADCALL |pp| (QREFELT |$| 114))) - -(DEFUN |POLYCAT-;factorSquareFreePolynomial;SupF;25| (|pp| |$|) - (SPADCALL |pp| (QREFELT |$| 117))) - -(DEFUN |POLYCAT-;factor;SF;26| (|p| |$|) - (PROG (|v| |ansR| #1=#:G102039 |w| #2=#:G102040 |up| |ansSUP| - #3=#:G102037 |ww| #4=#:G102038) - (RETURN - (SEQ - (LETT |v| (SPADCALL |p| (QREFELT |$| 42)) |POLYCAT-;factor;SF;26|) - (EXIT - (COND - ((QEQCAR |v| 1) - (SEQ - (LETT |ansR| - (SPADCALL (SPADCALL |p| (QREFELT |$| 38)) (QREFELT |$| 120)) - |POLYCAT-;factor;SF;26|) - (EXIT - (SPADCALL - (SPADCALL - (SPADCALL |ansR| (QREFELT |$| 122)) - (QREFELT |$| 40)) - (PROGN - (LETT #1# NIL |POLYCAT-;factor;SF;26|) - (SEQ - (LETT |w| NIL |POLYCAT-;factor;SF;26|) - (LETT #2# - (SPADCALL |ansR| (QREFELT |$| 126)) - |POLYCAT-;factor;SF;26|) + (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=#:G1488 |d| |u|) + (RETURN + (SEQ (COND + ((SPADCALL |p| (QREFELT $ 63)) 0) + ('T + (SEQ (LETT |u| + (SPADCALL |p| + (PROG2 (LETT #0# + (SPADCALL |p| (QREFELT $ 43)) + |POLYCAT-;totalDegree;SNni;13|) + (QCDR #0#) + (|check-union| (QEQCAR #0# 0) + (QREFELT $ 9) #0#)) + (QREFELT $ 48)) + |POLYCAT-;totalDegree;SNni;13|) + (LETT |d| 0 |POLYCAT-;totalDegree;SNni;13|) + (SEQ G190 + (COND + ((NULL (SPADCALL + (SPADCALL |u| + (|spadConstant| $ 64) + (QREFELT $ 65)) + (QREFELT $ 25))) + (GO G191))) + (SEQ (LETT |d| + (MAX |d| + (+ (SPADCALL |u| (QREFELT $ 66)) + (SPADCALL + (SPADCALL |u| (QREFELT $ 67)) + (QREFELT $ 68)))) + |POLYCAT-;totalDegree;SNni;13|) + (EXIT (LETT |u| + (SPADCALL |u| (QREFELT $ 69)) + |POLYCAT-;totalDegree;SNni;13|))) + NIL (GO G190) G191 (EXIT NIL)) + (EXIT |d|)))))))) + +(DEFUN |POLYCAT-;totalDegree;SLNni;14| (|p| |lv| $) + (PROG (#0=#:G1496 |v| |w| |d| |u|) + (RETURN + (SEQ (COND + ((SPADCALL |p| (QREFELT $ 63)) 0) + ('T + (SEQ (LETT |u| + (SPADCALL |p| + (LETT |v| + (PROG2 + (LETT #0# + (SPADCALL |p| (QREFELT $ 43)) + |POLYCAT-;totalDegree;SLNni;14|) + (QCDR #0#) + (|check-union| (QEQCAR #0# 0) + (QREFELT $ 9) #0#)) + |POLYCAT-;totalDegree;SLNni;14|) + (QREFELT $ 48)) + |POLYCAT-;totalDegree;SLNni;14|) + (LETT |d| 0 |POLYCAT-;totalDegree;SLNni;14|) + (LETT |w| 0 |POLYCAT-;totalDegree;SLNni;14|) + (COND + ((SPADCALL |v| |lv| (QREFELT $ 71)) + (LETT |w| 1 |POLYCAT-;totalDegree;SLNni;14|))) + (SEQ G190 + (COND + ((NULL (SPADCALL + (SPADCALL |u| + (|spadConstant| $ 64) + (QREFELT $ 65)) + (QREFELT $ 25))) + (GO G191))) + (SEQ (LETT |d| + (MAX |d| + (+ + (* |w| + (SPADCALL |u| (QREFELT $ 66))) + (SPADCALL + (SPADCALL |u| (QREFELT $ 67)) + |lv| (QREFELT $ 72)))) + |POLYCAT-;totalDegree;SLNni;14|) + (EXIT (LETT |u| + (SPADCALL |u| (QREFELT $ 69)) + |POLYCAT-;totalDegree;SLNni;14|))) + NIL (GO G190) G191 (EXIT NIL)) + (EXIT |d|)))))))) + +(DEFUN |POLYCAT-;resultant;2SVarSetS;15| (|p1| |p2| |mvar| $) + (SPADCALL (SPADCALL |p1| |mvar| (QREFELT $ 48)) + (SPADCALL |p2| |mvar| (QREFELT $ 48)) (QREFELT $ 74))) + +(DEFUN |POLYCAT-;discriminant;SVarSetS;16| (|p| |var| $) + (SPADCALL (SPADCALL |p| |var| (QREFELT $ 48)) (QREFELT $ 76))) + +(DEFUN |POLYCAT-;allMonoms| (|l| $) + (PROG (#0=#:G1508 |p| #1=#:G1509) + (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| (QREFELT $ 78)) + #0#) + |POLYCAT-;allMonoms|))) + (LETT #1# (CDR #1#) |POLYCAT-;allMonoms|) + (GO G190) G191 (EXIT (NREVERSE0 #0#)))) + (QREFELT $ 80)) + (QREFELT $ 81)))))) + +(DEFUN |POLYCAT-;P2R| (|p| |b| |n| $) + (PROG (|w| |bj| #0=#:G1514 |i| #1=#:G1513) + (RETURN + (SEQ (LETT |w| + (SPADCALL |n| (|spadConstant| $ 22) (QREFELT $ 83)) + |POLYCAT-;P2R|) + (SEQ (LETT |bj| NIL |POLYCAT-;P2R|) + (LETT #0# |b| |POLYCAT-;P2R|) + (LETT |i| (SPADCALL |w| (QREFELT $ 85)) |POLYCAT-;P2R|) + (LETT #1# (QVSIZE |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| (QREFELT $ 86)) + (QREFELT $ 87)))) + (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=#:G1518 |bj| #1=#:G1519 #2=#:G1520 |p| #3=#:G1521) + (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| + (QREFELT $ 86)) + #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#)))) + (QREFELT $ 90)))))) + +(DEFUN |POLYCAT-;reducedSystem;MM;20| (|m| $) + (PROG (#0=#:G1530 |r| #1=#:G1531 |b| #2=#:G1532 |bj| #3=#:G1533 |d| + |mm| |l|) + (RETURN + (SEQ (LETT |l| (SPADCALL |m| (QREFELT $ 93)) + |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#)))) + (QREFELT $ 80)) + (QREFELT $ 81)) + |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 #2#) - (PROGN - (LETT |w| (CAR #2#) |POLYCAT-;factor;SF;26|) - NIL)) + (COND + ((OR (ATOM #3#) + (PROGN + (LETT |bj| (CAR #3#) + |POLYCAT-;reducedSystem;MM;20|) + NIL)) (GO G191))) - (SEQ - (EXIT - (LETT #1# - (CONS - (VECTOR - (QVELT |w| 0) - (SPADCALL (QVELT |w| 1) (QREFELT |$| 40)) - (QVELT |w| 2)) - #1#) - |POLYCAT-;factor;SF;26|))) - (LETT #2# (CDR #2#) |POLYCAT-;factor;SF;26|) - (GO G190) - G191 - (EXIT (NREVERSE0 #1#)))) - (QREFELT |$| 130))))) - ((QUOTE T) - (SEQ - (LETT |up| - (SPADCALL |p| (QCDR |v|) (QREFELT |$| 47)) - |POLYCAT-;factor;SF;26|) - (LETT |ansSUP| - (SPADCALL |up| (QREFELT |$| 114)) - |POLYCAT-;factor;SF;26|) - (EXIT - (SPADCALL - (SPADCALL - (SPADCALL |ansSUP| (QREFELT |$| 131)) - (QCDR |v|) - (QREFELT |$| 132)) - (PROGN - (LETT #3# NIL |POLYCAT-;factor;SF;26|) - (SEQ - (LETT |ww| NIL |POLYCAT-;factor;SF;26|) - (LETT #4# - (SPADCALL |ansSUP| (QREFELT |$| 135)) - |POLYCAT-;factor;SF;26|) + (SEQ (EXIT (LETT #2# + (CONS + (SPADCALL |bj| (QREFELT $ 60)) + #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 (SPADCALL (NULL |l|) (QREFELT $ 25))) + (GO G191))) + (SEQ (LETT |mm| + (SPADCALL |mm| + (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| + $) + (QREFELT $ 94)) + |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=#:G1544 |s| #1=#:G1545 |b| #2=#:G1546 |bj| #3=#:G1547 |d| + |n| |mm| |w| |l| |r|) + (RETURN + (SEQ (LETT |l| (SPADCALL |m| (QREFELT $ 93)) + |POLYCAT-;reducedSystem;MVR;21|) + (LETT |r| (SPADCALL |v| (QREFELT $ 98)) + |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#)))) + (QREFELT $ 80)) + (QREFELT $ 99)) + (QREFELT $ 81)) + |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 #4#) - (PROGN - (LETT |ww| (CAR #4#) |POLYCAT-;factor;SF;26|) - NIL)) - (GO G191))) - (SEQ - (EXIT - (LETT #3# - (CONS - (VECTOR - (QVELT |ww| 0) - (SPADCALL - (QVELT |ww| 1) - (QCDR |v|) - (QREFELT |$| 132)) - (QVELT |ww| 2)) - #3#) - |POLYCAT-;factor;SF;26|))) - (LETT #4# (CDR #4#) |POLYCAT-;factor;SF;26|) - (GO G190) - G191 - (EXIT (NREVERSE0 #3#)))) - (QREFELT |$| 130))))))))))) - -(DEFUN |POLYCAT-;conditionP;MU;27| (|mat| |$|) - (PROG (|ll| #1=#:G102087 |z| #2=#:G102088 |ch| |l| #3=#:G102079 - #4=#:G102086 #5=#:G102047 #6=#:G102045 #7=#:G102046 #8=#:G102080 - |vars| |degs| #9=#:G102084 |d| #10=#:G102085 |nd| #11=#:G102074 - #12=#:G102054 |deg1| |redmons| #13=#:G102081 |v| #14=#:G102083 |u| - #15=#:G102082 |llR| |monslist| |ans| #16=#:G102075 #17=#:G102076 - |mons| #18=#:G102077 |m| #19=#:G102078 |i| #20=#:G102070 - #21=#:G102068 #22=#:G102069) - (RETURN - (SEQ - (EXIT - (SEQ - (LETT |ll| - (SPADCALL (SPADCALL |mat| (QREFELT |$| 137)) (QREFELT |$| 92)) - |POLYCAT-;conditionP;MU;27|) - (LETT |llR| - (PROGN (LETT #1# NIL |POLYCAT-;conditionP;MU;27|) - (SEQ - (LETT |z| NIL |POLYCAT-;conditionP;MU;27|) - (LETT #2# (|SPADfirst| |ll|) |POLYCAT-;conditionP;MU;27|) - G190 - (COND - ((OR - (ATOM #2#) - (PROGN - (LETT |z| (CAR #2#) |POLYCAT-;conditionP;MU;27|) - NIL)) - (GO G191))) - (SEQ - (EXIT - (LETT #1# (CONS NIL #1#) |POLYCAT-;conditionP;MU;27|))) - (LETT #2# (CDR #2#) |POLYCAT-;conditionP;MU;27|) - (GO G190) - G191 - (EXIT (NREVERSE0 #1#)))) - |POLYCAT-;conditionP;MU;27|) - (LETT |monslist| NIL |POLYCAT-;conditionP;MU;27|) - (LETT |ch| - (SPADCALL (QREFELT |$| 138)) - |POLYCAT-;conditionP;MU;27|) - (SEQ - (LETT |l| NIL |POLYCAT-;conditionP;MU;27|) - (LETT #3# |ll| |POLYCAT-;conditionP;MU;27|) - G190 - (COND - ((OR - (ATOM #3#) - (PROGN - (LETT |l| (CAR #3#) |POLYCAT-;conditionP;MU;27|) - NIL)) - (GO G191))) - (SEQ - (LETT |mons| - (PROGN - (LETT #7# NIL |POLYCAT-;conditionP;MU;27|) - (SEQ - (LETT |u| NIL |POLYCAT-;conditionP;MU;27|) - (LETT #4# |l| |POLYCAT-;conditionP;MU;27|) - G190 - (COND - ((OR - (ATOM #4#) - (PROGN - (LETT |u| (CAR #4#) |POLYCAT-;conditionP;MU;27|) - NIL)) - (GO G191))) - (SEQ - (EXIT - (PROGN - (LETT #5# - (SPADCALL |u| (QREFELT |$| 77)) - |POLYCAT-;conditionP;MU;27|) - (COND - (#7# - (LETT #6# - (SPADCALL #6# #5# (QREFELT |$| 139)) - |POLYCAT-;conditionP;MU;27|)) - ((QUOTE T) - (PROGN - (LETT #6# #5# |POLYCAT-;conditionP;MU;27|) - (LETT #7# - (QUOTE T) - |POLYCAT-;conditionP;MU;27|))))))) - (LETT #4# (CDR #4#) |POLYCAT-;conditionP;MU;27|) - (GO G190) - G191 - (EXIT NIL)) - (COND - (#7# #6#) - ((QUOTE T) (|IdentityError| (QUOTE |setUnion|))))) - |POLYCAT-;conditionP;MU;27|) - (LETT |redmons| NIL |POLYCAT-;conditionP;MU;27|) - (SEQ - (LETT |m| NIL |POLYCAT-;conditionP;MU;27|) - (LETT #8# |mons| |POLYCAT-;conditionP;MU;27|) - G190 - (COND - ((OR - (ATOM #8#) - (PROGN - (LETT |m| (CAR #8#) |POLYCAT-;conditionP;MU;27|) - NIL)) - (GO G191))) - (SEQ - (LETT |vars| - (SPADCALL |m| (QREFELT |$| 31)) - |POLYCAT-;conditionP;MU;27|) - (LETT |degs| - (SPADCALL |m| |vars| (QREFELT |$| 140)) - |POLYCAT-;conditionP;MU;27|) - (LETT |deg1| - (PROGN - (LETT #9# NIL |POLYCAT-;conditionP;MU;27|) - (SEQ - (LETT |d| NIL |POLYCAT-;conditionP;MU;27|) - (LETT #10# |degs| |POLYCAT-;conditionP;MU;27|) - G190 - (COND - ((OR - (ATOM #10#) - (PROGN - (LETT |d| - (CAR #10#) - |POLYCAT-;conditionP;MU;27|) + ((OR (ATOM #3#) + (PROGN + (LETT |bj| (CAR #3#) + |POLYCAT-;reducedSystem;MVR;21|) NIL)) - (GO G191))) - (SEQ - (EXIT - (LETT #9# - (CONS - (SEQ - (LETT |nd| - (SPADCALL |d| |ch| (QREFELT |$| 142)) - |POLYCAT-;conditionP;MU;27|) - (EXIT - (COND - ((QEQCAR |nd| 1) - (PROGN - (LETT #11# - (CONS 1 "failed") - |POLYCAT-;conditionP;MU;27|) - (GO #11#))) - ((QUOTE T) - (PROG1 - (LETT #12# - (QCDR |nd|) - |POLYCAT-;conditionP;MU;27|) - (|check-subtype| - (|>=| #12# 0) - (QUOTE (|NonNegativeInteger|)) - #12#)))))) - #9#) - |POLYCAT-;conditionP;MU;27|))) - (LETT #10# (CDR #10#) |POLYCAT-;conditionP;MU;27|) - (GO G190) - G191 - (EXIT (NREVERSE0 #9#)))) - |POLYCAT-;conditionP;MU;27|) - (LETT |redmons| - (CONS - (SPADCALL - (|spadConstant| |$| 33) - |vars| - |deg1| - (QREFELT |$| 54)) - |redmons|) - |POLYCAT-;conditionP;MU;27|) - (EXIT - (LETT |llR| - (PROGN - (LETT #13# NIL |POLYCAT-;conditionP;MU;27|) - (SEQ - (LETT |v| NIL |POLYCAT-;conditionP;MU;27|) - (LETT #14# |llR| |POLYCAT-;conditionP;MU;27|) - (LETT |u| NIL |POLYCAT-;conditionP;MU;27|) - (LETT #15# |l| |POLYCAT-;conditionP;MU;27|) - G190 - (COND - ((OR - (ATOM #15#) - (PROGN - (LETT |u| - (CAR #15#) + (GO G191))) + (SEQ (EXIT (LETT #2# + (CONS + (SPADCALL |bj| (QREFELT $ 60)) + #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 (SPADCALL (NULL |l|) (QREFELT $ 25))) + (GO G191))) + (SEQ (LETT |mm| + (SPADCALL |mm| + (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| + $) + (QREFELT $ 94)) + |POLYCAT-;reducedSystem;MVR;21|) + (LETT |w| + (SPADCALL |w| + (|POLYCAT-;P2R| (|SPADfirst| |r|) |d| + |n| $) + (QREFELT $ 100)) + |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| (QREFELT $ 105))) + +(DEFUN |POLYCAT-;solveLinearPolynomialEquation;LSupU;23| (|lpp| |pp| $) + (SPADCALL |lpp| |pp| (QREFELT $ 110))) + +(DEFUN |POLYCAT-;factorPolynomial;SupF;24| (|pp| $) + (SPADCALL |pp| (QREFELT $ 115))) + +(DEFUN |POLYCAT-;factorSquareFreePolynomial;SupF;25| (|pp| $) + (SPADCALL |pp| (QREFELT $ 118))) + +(DEFUN |POLYCAT-;factor;SF;26| (|p| $) + (PROG (|v| |ansR| #0=#:G1589 |w| #1=#:G1590 |up| |ansSUP| #2=#:G1591 + |ww| #3=#:G1592) + (RETURN + (SEQ (LETT |v| (SPADCALL |p| (QREFELT $ 43)) + |POLYCAT-;factor;SF;26|) + (EXIT (COND + ((QEQCAR |v| 1) + (SEQ (LETT |ansR| + (SPADCALL (SPADCALL |p| (QREFELT $ 39)) + (QREFELT $ 121)) + |POLYCAT-;factor;SF;26|) + (EXIT (SPADCALL + (SPADCALL + (SPADCALL |ansR| (QREFELT $ 123)) + (QREFELT $ 41)) + (PROGN + (LETT #0# NIL + |POLYCAT-;factor;SF;26|) + (SEQ + (LETT |w| NIL + |POLYCAT-;factor;SF;26|) + (LETT #1# + (SPADCALL |ansR| + (QREFELT $ 127)) + |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) + (QREFELT $ 41)) + (QVELT |w| 2)) + #0#) + |POLYCAT-;factor;SF;26|))) + (LETT #1# (CDR #1#) + |POLYCAT-;factor;SF;26|) + (GO G190) G191 + (EXIT (NREVERSE0 #0#)))) + (QREFELT $ 131))))) + ('T + (SEQ (LETT |up| + (SPADCALL |p| (QCDR |v|) (QREFELT $ 48)) + |POLYCAT-;factor;SF;26|) + (LETT |ansSUP| (SPADCALL |up| (QREFELT $ 115)) + |POLYCAT-;factor;SF;26|) + (EXIT (SPADCALL + (SPADCALL + (SPADCALL |ansSUP| (QREFELT $ 132)) + (QCDR |v|) (QREFELT $ 133)) + (PROGN + (LETT #2# NIL + |POLYCAT-;factor;SF;26|) + (SEQ + (LETT |ww| NIL + |POLYCAT-;factor;SF;26|) + (LETT #3# + (SPADCALL |ansSUP| + (QREFELT $ 136)) + |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|) (QREFELT $ 133)) + (QVELT |ww| 2)) + #2#) + |POLYCAT-;factor;SF;26|))) + (LETT #3# (CDR #3#) + |POLYCAT-;factor;SF;26|) + (GO G190) G191 + (EXIT (NREVERSE0 #2#)))) + (QREFELT $ 131))))))))))) + +(DEFUN |POLYCAT-;conditionP;MU;27| (|mat| $) + (PROG (|ll| #0=#:G1627 |z| #1=#:G1628 |ch| |l| #2=#:G1629 #3=#:G1630 + #4=#:G1599 #5=#:G1597 #6=#:G1598 #7=#:G1631 |vars| |degs| + #8=#:G1632 |d| #9=#:G1633 |nd| #10=#:G1626 #11=#:G1606 + |deg1| |redmons| #12=#:G1634 |v| #13=#:G1636 |u| + #14=#:G1635 |llR| |monslist| |ans| #15=#:G1637 + #16=#:G1638 |mons| #17=#:G1639 |m| #18=#:G1640 |i| + #19=#:G1622 #20=#:G1620 #21=#:G1621) + (RETURN + (SEQ (EXIT (SEQ (LETT |ll| + (SPADCALL (SPADCALL |mat| (QREFELT $ 138)) + (QREFELT $ 93)) + |POLYCAT-;conditionP;MU;27|) + (LETT |llR| + (PROGN + (LETT #0# NIL |POLYCAT-;conditionP;MU;27|) - NIL) - (ATOM #14#) - (PROGN - (LETT |v| - (CAR #14#) + (SEQ (LETT |z| NIL |POLYCAT-;conditionP;MU;27|) - NIL)) - (GO G191))) - (SEQ - (EXIT - (LETT #13# - (CONS - (CONS - (SPADCALL - (SPADCALL - |u| - |vars| - |degs| - (QREFELT |$| 52)) - (QREFELT |$| 143)) - |v|) - #13#) - |POLYCAT-;conditionP;MU;27|))) - (LETT #15# - (PROG1 - (CDR #15#) - (LETT #14# - (CDR #14#) - |POLYCAT-;conditionP;MU;27|)) - |POLYCAT-;conditionP;MU;27|) - (GO G190) - G191 - (EXIT (NREVERSE0 #13#)))) - |POLYCAT-;conditionP;MU;27|))) - (LETT #8# (CDR #8#) |POLYCAT-;conditionP;MU;27|) - (GO G190) - G191 - (EXIT NIL)) - (EXIT - (LETT |monslist| - (CONS |redmons| |monslist|) - |POLYCAT-;conditionP;MU;27|))) - (LETT #3# (CDR #3#) |POLYCAT-;conditionP;MU;27|) - (GO G190) - G191 - (EXIT NIL)) - (LETT |ans| - (SPADCALL - (SPADCALL - (SPADCALL |llR| (QREFELT |$| 89)) - (QREFELT |$| 144)) - (QREFELT |$| 146)) - |POLYCAT-;conditionP;MU;27|) - (EXIT - (COND - ((QEQCAR |ans| 1) (CONS 1 "failed")) - ((QUOTE T) - (SEQ - (LETT |i| 0 |POLYCAT-;conditionP;MU;27|) - (EXIT - (CONS - 0 - (PRIMVEC2ARR - (PROGN - (LETT #16# - (GETREFV (SIZE |monslist|)) - |POLYCAT-;conditionP;MU;27|) - (SEQ - (LETT #17# 0 |POLYCAT-;conditionP;MU;27|) - (LETT |mons| NIL |POLYCAT-;conditionP;MU;27|) - (LETT #18# - |monslist| - |POLYCAT-;conditionP;MU;27|) - G190 - (COND - ((OR - (ATOM #18#) - (PROGN - (LETT |mons| - (CAR #18#) - |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| (SPADCALL (QREFELT $ 139)) + |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 - (EXIT - (SETELT - #16# - #17# - (PROGN - (LETT #22# - NIL - |POLYCAT-;conditionP;MU;27|) - (SEQ - (LETT |m| - NIL + (GO G191))) + (SEQ (LETT |mons| + (PROGN + (LETT #6# NIL + |POLYCAT-;conditionP;MU;27|) + (SEQ + (LETT |u| NIL |POLYCAT-;conditionP;MU;27|) - (LETT #19# - |mons| + (LETT #3# |l| |POLYCAT-;conditionP;MU;27|) - G190 - (COND - ((OR - (ATOM #19#) - (PROGN - (LETT |m| - (CAR #19#) + G190 + (COND + ((OR (ATOM #3#) + (PROGN + (LETT |u| (CAR #3#) |POLYCAT-;conditionP;MU;27|) NIL)) - (GO G191))) - (SEQ - (EXIT - (PROGN - (LETT #20# - (SPADCALL |m| - (SPADCALL - (SPADCALL - (QCDR |ans|) - (LETT |i| - (|+| |i| 1) - |POLYCAT-;conditionP;MU;27|) - (QREFELT |$| 147)) - (QREFELT |$| 40)) - (QREFELT |$| 148)) - |POLYCAT-;conditionP;MU;27|) - (COND - (#22# - (LETT #21# - (SPADCALL #21# #20# - (QREFELT |$| 149)) - |POLYCAT-;conditionP;MU;27|)) - ((QUOTE T) - (PROGN - (LETT #21# #20# + (GO G191))) + (SEQ + (EXIT + (PROGN + (LETT #4# + (SPADCALL |u| + (QREFELT $ 78)) + |POLYCAT-;conditionP;MU;27|) + (COND + (#6# + (LETT #5# + (SPADCALL #5# #4# + (QREFELT $ 140)) + |POLYCAT-;conditionP;MU;27|)) + ('T + (PROGN + (LETT #5# #4# |POLYCAT-;conditionP;MU;27|) - (LETT #22# (QUOTE T) - |POLYCAT-;conditionP;MU;27|))))))) - (LETT #19# (CDR #19#) + (LETT #6# 'T + |POLYCAT-;conditionP;MU;27|))))))) + (LETT #3# (CDR #3#) |POLYCAT-;conditionP;MU;27|) - (GO G190) - G191 - (EXIT NIL)) - (COND - (#22# #21#) - ((QUOTE T) - (|spadConstant| |$| 21))))))) - (LETT #18# - (PROG1 - (CDR #18#) - (LETT #17# - (QSADD1 #17#) - |POLYCAT-;conditionP;MU;27|)) - |POLYCAT-;conditionP;MU;27|) - (GO G190) - G191 - (EXIT NIL)) - #16#)))))))))) - #11# - (EXIT #11#))))) - -(DEFUN |POLYCAT-;charthRoot;SU;28| (|p| |$|) - (PROG (|vars| |ans| |ch|) - (RETURN - (SEQ - (LETT |vars| - (SPADCALL |p| (QREFELT |$| 31)) |POLYCAT-;charthRoot;SU;28|) - (EXIT - (COND - ((NULL |vars|) - (SEQ - (LETT |ans| - (SPADCALL - (SPADCALL |p| (QREFELT |$| 143)) - (QREFELT |$| 151)) - |POLYCAT-;charthRoot;SU;28|) - (EXIT - (COND - ((QEQCAR |ans| 1) - (CONS 1 "failed")) - ((QUOTE T) - (CONS 0 (SPADCALL (QCDR |ans|) (QREFELT |$| 40)))))))) - ((QUOTE T) - (SEQ - (LETT |ch| - (SPADCALL (QREFELT |$| 138)) - |POLYCAT-;charthRoot;SU;28|) - (EXIT (|POLYCAT-;charthRootlv| |p| |vars| |ch| |$|)))))))))) - -(DEFUN |POLYCAT-;charthRootlv| (|p| |vars| |ch| |$|) - (PROG (|v| |dd| |cp| |d| #1=#:G102109 |ans| |ansx| #2=#:G102116) - (RETURN - (SEQ - (EXIT - (COND - ((NULL |vars|) - (SEQ - (LETT |ans| - (SPADCALL (SPADCALL |p| (QREFELT |$| 143)) (QREFELT |$| 151)) - |POLYCAT-;charthRootlv|) - (EXIT - (COND - ((QEQCAR |ans| 1) (CONS 1 "failed")) - ((QUOTE T) - (CONS 0 (SPADCALL (QCDR |ans|) (QREFELT |$| 40)))))))) - ((QUOTE T) - (SEQ - (LETT |v| (|SPADfirst| |vars|) |POLYCAT-;charthRootlv|) - (LETT |vars| (CDR |vars|) |POLYCAT-;charthRootlv|) - (LETT |d| - (SPADCALL |p| |v| (QREFELT |$| 36)) - |POLYCAT-;charthRootlv|) - (LETT |ans| (|spadConstant| |$| 21) |POLYCAT-;charthRootlv|) - (SEQ G190 - (COND ((NULL (|<| 0 |d|)) (GO G191))) - (SEQ - (LETT |dd| - (SPADCALL |d| |ch| (QREFELT |$| 142)) - |POLYCAT-;charthRootlv|) - (EXIT - (COND - ((QEQCAR |dd| 1) - (PROGN - (LETT #2# - (CONS 1 "failed") - |POLYCAT-;charthRootlv|) - (GO #2#))) - ((QUOTE T) - (SEQ - (LETT |cp| - (SPADCALL |p| |v| |d| (QREFELT |$| 154)) - |POLYCAT-;charthRootlv|) - (LETT |p| - (SPADCALL |p| - (SPADCALL |cp| |v| |d| (QREFELT |$| 37)) - (QREFELT |$| 155)) - |POLYCAT-;charthRootlv|) - (LETT |ansx| - (|POLYCAT-;charthRootlv| |cp| |vars| |ch| |$|) - |POLYCAT-;charthRootlv|) - (EXIT - (COND - ((QEQCAR |ansx| 1) - (PROGN - (LETT #2# - (CONS 1 "failed") - |POLYCAT-;charthRootlv|) - (GO #2#))) - ((QUOTE T) - (SEQ - (LETT |d| - (SPADCALL |p| |v| (QREFELT |$| 36)) - |POLYCAT-;charthRootlv|) - (EXIT - (LETT |ans| - (SPADCALL |ans| - (SPADCALL - (QCDR |ansx|) - |v| - (PROG1 - (LETT #1# - (QCDR |dd|) - |POLYCAT-;charthRootlv|) - (|check-subtype| - (|>=| #1# 0) - (QUOTE (|NonNegativeInteger|)) - #1#)) - (QREFELT |$| 37)) - (QREFELT |$| 149)) - |POLYCAT-;charthRootlv|))))))))))) - NIL - (GO G190) - G191 - (EXIT NIL)) - (LETT |ansx| - (|POLYCAT-;charthRootlv| |p| |vars| |ch| |$|) - |POLYCAT-;charthRootlv|) - (EXIT - (COND - ((QEQCAR |ansx| 1) - (PROGN - (LETT #2# (CONS 1 "failed") |POLYCAT-;charthRootlv|) - (GO #2#))) - ((QUOTE T) - (PROGN - (LETT #2# - (CONS - 0 - (SPADCALL |ans| (QCDR |ansx|) (QREFELT |$| 149))) - |POLYCAT-;charthRootlv|) - (GO #2#))))))))) - #2# - (EXIT #2#))))) - -(DEFUN |POLYCAT-;monicDivide;2SVarSetR;30| (|p1| |p2| |mvar| |$|) - (PROG (|result|) - (RETURN - (SEQ - (LETT |result| - (SPADCALL - (SPADCALL |p1| |mvar| (QREFELT |$| 47)) - (SPADCALL |p2| |mvar| (QREFELT |$| 47)) - (QREFELT |$| 157)) - |POLYCAT-;monicDivide;2SVarSetR;30|) - (EXIT - (CONS - (SPADCALL (QCAR |result|) |mvar| (QREFELT |$| 132)) - (SPADCALL (QCDR |result|) |mvar| (QREFELT |$| 132)))))))) - -(DEFUN |POLYCAT-;squareFree;SF;31| (|p| |$|) - (SPADCALL |p| (QREFELT |$| 160))) - -(DEFUN |POLYCAT-;squareFree;SF;32| (|p| |$|) - (SPADCALL |p| (QREFELT |$| 163))) - -(DEFUN |POLYCAT-;squareFree;SF;33| (|p| |$|) - (SPADCALL |p| (QREFELT |$| 163))) - -(DEFUN |POLYCAT-;squareFreePart;2S;34| (|p| |$|) - (PROG (|s| |f| #1=#:G102132 #2=#:G102130 #3=#:G102128 #4=#:G102129) - (RETURN - (SEQ - (SPADCALL - (SPADCALL - (LETT |s| - (SPADCALL |p| (QREFELT |$| 164)) - |POLYCAT-;squareFreePart;2S;34|) - (QREFELT |$| 165)) - (PROGN - (LETT #4# NIL |POLYCAT-;squareFreePart;2S;34|) - (SEQ - (LETT |f| NIL |POLYCAT-;squareFreePart;2S;34|) - (LETT #1# - (SPADCALL |s| (QREFELT |$| 168)) - |POLYCAT-;squareFreePart;2S;34|) - G190 - (COND - ((OR - (ATOM #1#) - (PROGN - (LETT |f| (CAR #1#) |POLYCAT-;squareFreePart;2S;34|) - NIL)) - (GO G191))) - (SEQ - (EXIT - (PROGN - (LETT #2# (QCAR |f|) |POLYCAT-;squareFreePart;2S;34|) - (COND - (#4# - (LETT #3# - (SPADCALL #3# #2# (QREFELT |$| 148)) - |POLYCAT-;squareFreePart;2S;34|)) - ((QUOTE T) - (PROGN - (LETT #3# #2# |POLYCAT-;squareFreePart;2S;34|) - (LETT #4# - (QUOTE T) - |POLYCAT-;squareFreePart;2S;34|))))))) - (LETT #1# (CDR #1#) |POLYCAT-;squareFreePart;2S;34|) - (GO G190) - G191 - (EXIT NIL)) - (COND - (#4# #3#) - ((QUOTE T) (|spadConstant| |$| 33)))) - (QREFELT |$| 148)))))) - -(DEFUN |POLYCAT-;content;SVarSetS;35| (|p| |v| |$|) - (SPADCALL (SPADCALL |p| |v| (QREFELT |$| 47)) (QREFELT |$| 170))) - -(DEFUN |POLYCAT-;primitivePart;2S;36| (|p| |$|) - (PROG (#1=#:G102135) - (RETURN - (QVELT - (SPADCALL - (PROG2 - (LETT #1# - (SPADCALL |p| (SPADCALL |p| (QREFELT |$| 172)) (QREFELT |$| 173)) - |POLYCAT-;primitivePart;2S;36|) - (QCDR #1#) - (|check-union| (QEQCAR #1# 0) (QREFELT |$| 6) #1#)) - (QREFELT |$| 175)) - 1)))) - -(DEFUN |POLYCAT-;primitivePart;SVarSetS;37| (|p| |v| |$|) - (PROG (#1=#:G102141) - (RETURN - (QVELT - (SPADCALL - (PROG2 - (LETT #1# - (SPADCALL |p| - (SPADCALL |p| |v| (QREFELT |$| 177)) - (QREFELT |$| 178)) - |POLYCAT-;primitivePart;SVarSetS;37|) - (QCDR #1#) - (|check-union| (QEQCAR #1# 0) (QREFELT |$| 6) #1#)) - (QREFELT |$| 175)) 1)))) - -(DEFUN |POLYCAT-;<;2SB;38| (|p| |q| |$|) - (PROG (|dp| |dq|) - (RETURN - (SEQ - (LETT |dp| (SPADCALL |p| (QREFELT |$| 59)) |POLYCAT-;<;2SB;38|) - (LETT |dq| (SPADCALL |q| (QREFELT |$| 59)) |POLYCAT-;<;2SB;38|) - (EXIT - (COND - ((SPADCALL |dp| |dq| (QREFELT |$| 180)) - (SPADCALL - (|spadConstant| |$| 22) - (SPADCALL |q| (QREFELT |$| 38)) - (QREFELT |$| 181))) - ((SPADCALL |dq| |dp| (QREFELT |$| 180)) - (SPADCALL - (SPADCALL |p| (QREFELT |$| 38)) - (|spadConstant| |$| 22) - (QREFELT |$| 181))) - ((QUOTE T) - (SPADCALL - (SPADCALL - (SPADCALL |p| |q| (QREFELT |$| 155)) - (QREFELT |$| 38)) - (|spadConstant| |$| 22) - (QREFELT |$| 181))))))))) - -(DEFUN |POLYCAT-;patternMatch;SP2Pmr;39| (|p| |pat| |l| |$|) - (SPADCALL |p| |pat| |l| (QREFELT |$| 186))) - -(DEFUN |POLYCAT-;patternMatch;SP2Pmr;40| (|p| |pat| |l| |$|) - (SPADCALL |p| |pat| |l| (QREFELT |$| 192))) - -(DEFUN |POLYCAT-;convert;SP;41| (|x| |$|) - (SPADCALL (ELT |$| 195) (ELT |$| 196) |x| (QREFELT |$| 200))) - -(DEFUN |POLYCAT-;convert;SP;42| (|x| |$|) - (SPADCALL (ELT |$| 202) (ELT |$| 203) |x| (QREFELT |$| 207))) - -(DEFUN |POLYCAT-;convert;SIf;43| (|p| |$|) - (SPADCALL (ELT |$| 210) (ELT |$| 211) |p| (QREFELT |$| 215))) - -(DEFUN |PolynomialCategory&| (|#1| |#2| |#3| |#4|) - (PROG (|DV$1| |DV$2| |DV$3| |DV$4| |dv$| |$| |pv$|) - (RETURN - (PROGN - (LETT |DV$1| (|devaluate| |#1|) . #1=(|PolynomialCategory&|)) - (LETT |DV$2| (|devaluate| |#2|) . #1#) - (LETT |DV$3| (|devaluate| |#3|) . #1#) - (LETT |DV$4| (|devaluate| |#4|) . #1#) - (LETT |dv$| - (LIST - (QUOTE |PolynomialCategory&|) |DV$1| |DV$2| |DV$3| |DV$4|) . #1#) - (LETT |$| (GETREFV 225) . #1#) - (QSETREFV |$| 0 |dv$|) - (QSETREFV |$| 3 - (LETT |pv$| - (|buildPredVector| 0 0 - (LIST - (|HasCategory| |#2| - (QUOTE (|PolynomialFactorizationExplicit|))) - (|HasAttribute| |#2| (QUOTE |canonicalUnitNormal|)) - (|HasCategory| |#2| (QUOTE (|GcdDomain|))) - (|HasCategory| |#2| (QUOTE (|CommutativeRing|))) - (|HasCategory| |#4| (QUOTE (|PatternMatchable| (|Float|)))) - (|HasCategory| |#2| (QUOTE (|PatternMatchable| (|Float|)))) - (|HasCategory| |#4| (QUOTE (|PatternMatchable| (|Integer|)))) - (|HasCategory| |#2| (QUOTE (|PatternMatchable| (|Integer|)))) - (|HasCategory| |#4| - (QUOTE (|ConvertibleTo| (|Pattern| (|Float|))))) - (|HasCategory| |#2| - (QUOTE (|ConvertibleTo| (|Pattern| (|Float|))))) - (|HasCategory| |#4| - (QUOTE (|ConvertibleTo| (|Pattern| (|Integer|))))) - (|HasCategory| |#2| - (QUOTE (|ConvertibleTo| (|Pattern| (|Integer|))))) - (|HasCategory| |#4| (QUOTE (|ConvertibleTo| (|InputForm|)))) - (|HasCategory| |#2| (QUOTE (|ConvertibleTo| (|InputForm|)))) - (|HasCategory| |#2| (QUOTE (|OrderedSet|))))) . #1#)) - (|stuffDomainSlots| |$|) - (QSETREFV |$| 6 |#1|) - (QSETREFV |$| 7 |#2|) - (QSETREFV |$| 8 |#3|) - (QSETREFV |$| 9 |#4|) - (COND + (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| (QREFELT $ 32)) + |POLYCAT-;conditionP;MU;27|) + (LETT |degs| + (SPADCALL |m| |vars| + (QREFELT $ 141)) + |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| + (QREFELT $ 143)) + |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| $ 34) + |vars| |deg1| (QREFELT $ 55)) + |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| + (QREFELT $ 53)) + (QREFELT $ 144)) + |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| (QREFELT $ 90)) + (QREFELT $ 145)) + (QREFELT $ 147)) + |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 + (SETELT #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|) + (QREFELT $ 148)) + (QREFELT $ 41)) + (QREFELT $ 149)) + |POLYCAT-;conditionP;MU;27|) + (COND + (#21# + (LETT #20# + (SPADCALL #20# + #19# + (QREFELT $ + 150)) + |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| $ 21))))))) + (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| (QREFELT $ 32)) + |POLYCAT-;charthRoot;SU;28|) + (EXIT (COND + ((NULL |vars|) + (SEQ (LETT |ans| + (SPADCALL (SPADCALL |p| (QREFELT $ 144)) + (QREFELT $ 152)) + |POLYCAT-;charthRoot;SU;28|) + (EXIT (COND + ((QEQCAR |ans| 1) (CONS 1 "failed")) + ('T + (CONS 0 + (SPADCALL (QCDR |ans|) + (QREFELT $ 41)))))))) + ('T + (SEQ (LETT |ch| (SPADCALL (QREFELT $ 139)) + |POLYCAT-;charthRoot;SU;28|) + (EXIT (|POLYCAT-;charthRootlv| |p| |vars| |ch| + $)))))))))) + +(DEFUN |POLYCAT-;charthRootlv| (|p| |vars| |ch| $) + (PROG (|v| |dd| |cp| |d| #0=#:G1661 |ans| |ansx| #1=#:G1668) + (RETURN + (SEQ (EXIT (COND + ((NULL |vars|) + (SEQ (LETT |ans| + (SPADCALL (SPADCALL |p| (QREFELT $ 144)) + (QREFELT $ 152)) + |POLYCAT-;charthRootlv|) + (EXIT (COND + ((QEQCAR |ans| 1) (CONS 1 "failed")) + ('T + (CONS 0 + (SPADCALL (QCDR |ans|) + (QREFELT $ 41)))))))) + ('T + (SEQ (LETT |v| (|SPADfirst| |vars|) + |POLYCAT-;charthRootlv|) + (LETT |vars| (CDR |vars|) + |POLYCAT-;charthRootlv|) + (LETT |d| (SPADCALL |p| |v| (QREFELT $ 37)) + |POLYCAT-;charthRootlv|) + (LETT |ans| (|spadConstant| $ 21) + |POLYCAT-;charthRootlv|) + (SEQ G190 (COND ((NULL (< 0 |d|)) (GO G191))) + (SEQ (LETT |dd| + (SPADCALL |d| |ch| (QREFELT $ 143)) + |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| + (QREFELT $ 155)) + |POLYCAT-;charthRootlv|) + (LETT |p| + (SPADCALL |p| + (SPADCALL |cp| |v| |d| + (QREFELT $ 38)) + (QREFELT $ 156)) + |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| + (QREFELT $ 37)) + |POLYCAT-;charthRootlv|) + (EXIT + (LETT |ans| + (SPADCALL |ans| + (SPADCALL (QCDR |ansx|) + |v| + (PROG1 + (LETT #0# (QCDR |dd|) + |POLYCAT-;charthRootlv|) + (|check-subtype| + (>= #0# 0) + '(|NonNegativeInteger|) + #0#)) + (QREFELT $ 38)) + (QREFELT $ 150)) + |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|) + (QREFELT $ 150))) + |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| (QREFELT $ 48)) + (SPADCALL |p2| |mvar| (QREFELT $ 48)) + (QREFELT $ 158)) + |POLYCAT-;monicDivide;2SVarSetR;30|) + (EXIT (CONS (SPADCALL (QCAR |result|) |mvar| + (QREFELT $ 133)) + (SPADCALL (QCDR |result|) |mvar| + (QREFELT $ 133)))))))) + +(DEFUN |POLYCAT-;squareFree;SF;31| (|p| $) + (SPADCALL |p| (QREFELT $ 161))) + +(DEFUN |POLYCAT-;squareFree;SF;32| (|p| $) + (SPADCALL |p| (QREFELT $ 164))) + +(DEFUN |POLYCAT-;squareFree;SF;33| (|p| $) + (SPADCALL |p| (QREFELT $ 164))) + +(DEFUN |POLYCAT-;squareFreePart;2S;34| (|p| $) + (PROG (|s| |f| #0=#:G1684 #1=#:G1682 #2=#:G1680 #3=#:G1681) + (RETURN + (SEQ (SPADCALL + (SPADCALL + (LETT |s| (SPADCALL |p| (QREFELT $ 165)) + |POLYCAT-;squareFreePart;2S;34|) + (QREFELT $ 166)) + (PROGN + (LETT #3# NIL |POLYCAT-;squareFreePart;2S;34|) + (SEQ (LETT |f| NIL |POLYCAT-;squareFreePart;2S;34|) + (LETT #0# (SPADCALL |s| (QREFELT $ 169)) + |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# + (QREFELT $ 149)) + |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| $ 34)))) + (QREFELT $ 149)))))) + +(DEFUN |POLYCAT-;content;SVarSetS;35| (|p| |v| $) + (SPADCALL (SPADCALL |p| |v| (QREFELT $ 48)) (QREFELT $ 171))) + +(DEFUN |POLYCAT-;primitivePart;2S;36| (|p| $) + (PROG (#0=#:G1687) + (RETURN + (QVELT (SPADCALL + (PROG2 (LETT #0# + (SPADCALL |p| + (SPADCALL |p| (QREFELT $ 173)) + (QREFELT $ 174)) + |POLYCAT-;primitivePart;2S;36|) + (QCDR #0#) + (|check-union| (QEQCAR #0# 0) (QREFELT $ 6) #0#)) + (QREFELT $ 176)) + 1)))) + +(DEFUN |POLYCAT-;primitivePart;SVarSetS;37| (|p| |v| $) + (PROG (#0=#:G1693) + (RETURN + (QVELT (SPADCALL + (PROG2 (LETT #0# + (SPADCALL |p| + (SPADCALL |p| |v| (QREFELT $ 178)) + (QREFELT $ 179)) + |POLYCAT-;primitivePart;SVarSetS;37|) + (QCDR #0#) + (|check-union| (QEQCAR #0# 0) (QREFELT $ 6) #0#)) + (QREFELT $ 176)) + 1)))) + +(DEFUN |POLYCAT-;<;2SB;38| (|p| |q| $) + (PROG (|dp| |dq|) + (RETURN + (SEQ (LETT |dp| (SPADCALL |p| (QREFELT $ 60)) + |POLYCAT-;<;2SB;38|) + (LETT |dq| (SPADCALL |q| (QREFELT $ 60)) + |POLYCAT-;<;2SB;38|) + (EXIT (COND + ((SPADCALL |dp| |dq| (QREFELT $ 181)) + (SPADCALL (|spadConstant| $ 22) + (SPADCALL |q| (QREFELT $ 39)) (QREFELT $ 182))) + ((SPADCALL |dq| |dp| (QREFELT $ 181)) + (SPADCALL (SPADCALL |p| (QREFELT $ 39)) + (|spadConstant| $ 22) (QREFELT $ 182))) + ('T + (SPADCALL + (SPADCALL (SPADCALL |p| |q| (QREFELT $ 156)) + (QREFELT $ 39)) + (|spadConstant| $ 22) (QREFELT $ 182))))))))) + +(DEFUN |POLYCAT-;patternMatch;SP2Pmr;39| (|p| |pat| |l| $) + (SPADCALL |p| |pat| |l| (QREFELT $ 187))) + +(DEFUN |POLYCAT-;patternMatch;SP2Pmr;40| (|p| |pat| |l| $) + (SPADCALL |p| |pat| |l| (QREFELT $ 193))) + +(DEFUN |POLYCAT-;convert;SP;41| (|x| $) + (SPADCALL (ELT $ 196) (ELT $ 197) |x| (QREFELT $ 201))) + +(DEFUN |POLYCAT-;convert;SP;42| (|x| $) + (SPADCALL (ELT $ 203) (ELT $ 204) |x| (QREFELT $ 208))) + +(DEFUN |POLYCAT-;convert;SIf;43| (|p| $) + (SPADCALL (ELT $ 211) (ELT $ 212) |p| (QREFELT $ 216))) + +(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 $ (GETREFV 226) . #0#) + (QSETREFV $ 0 |dv$|) + (QSETREFV $ 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|))) + (|HasCategory| |#2| '(|OrderedSet|)))) . #0#)) + (|stuffDomainSlots| $) + (QSETREFV $ 6 |#1|) + (QSETREFV $ 7 |#2|) + (QSETREFV $ 8 |#3|) + (QSETREFV $ 9 |#4|) + (COND ((|testBitVector| |pv$| 4) - (PROGN - (QSETREFV |$| 74 - (CONS - (|dispatchFunction| |POLYCAT-;resultant;2SVarSetS;15|) - |$|)) - (QSETREFV |$| 76 - (CONS - (|dispatchFunction| |POLYCAT-;discriminant;SVarSetS;16|) - |$|))))) - (COND - ((|HasCategory| |#2| (QUOTE (|IntegralDomain|))) - (PROGN - (QSETREFV |$| 95 - (CONS (|dispatchFunction| |POLYCAT-;reducedSystem;MM;20|) |$|)) - (QSETREFV |$| 102 - (CONS - (|dispatchFunction| |POLYCAT-;reducedSystem;MVR;21|) - |$|))))) - (COND + (PROGN + (QSETREFV $ 75 + (CONS (|dispatchFunction| + |POLYCAT-;resultant;2SVarSetS;15|) + $)) + (QSETREFV $ 77 + (CONS (|dispatchFunction| + |POLYCAT-;discriminant;SVarSetS;16|) + $))))) + (COND + ((|HasCategory| |#2| '(|IntegralDomain|)) + (PROGN + (QSETREFV $ 96 + (CONS (|dispatchFunction| + |POLYCAT-;reducedSystem;MM;20|) + $)) + (QSETREFV $ 103 + (CONS (|dispatchFunction| + |POLYCAT-;reducedSystem;MVR;21|) + $))))) + (COND ((|testBitVector| |pv$| 1) - (PROGN - (QSETREFV |$| 105 - (CONS - (|dispatchFunction| |POLYCAT-;gcdPolynomial;3Sup;22|) - |$|)) - (QSETREFV |$| 112 - (CONS - (|dispatchFunction| - |POLYCAT-;solveLinearPolynomialEquation;LSupU;23|) - |$|)) - (QSETREFV |$| 116 - (CONS - (|dispatchFunction| |POLYCAT-;factorPolynomial;SupF;24|) - |$|)) - (QSETREFV |$| 118 - (CONS - (|dispatchFunction| - |POLYCAT-;factorSquareFreePolynomial;SupF;25|) - |$|)) - (QSETREFV |$| 136 - (CONS - (|dispatchFunction| |POLYCAT-;factor;SF;26|) |$|)) - (COND - ((|HasCategory| |#2| (QUOTE (|CharacteristicNonZero|))) - (PROGN - (QSETREFV |$| 150 - (CONS - (|dispatchFunction| |POLYCAT-;conditionP;MU;27|) - |$|)))))))) - (COND - ((|HasCategory| |#2| (QUOTE (|CharacteristicNonZero|))) - (PROGN - (QSETREFV |$| 152 - (CONS - (|dispatchFunction| |POLYCAT-;charthRoot;SU;28|) - |$|))))) - (COND + (PROGN + (QSETREFV $ 106 + (CONS (|dispatchFunction| + |POLYCAT-;gcdPolynomial;3Sup;22|) + $)) + (QSETREFV $ 113 + (CONS (|dispatchFunction| + |POLYCAT-;solveLinearPolynomialEquation;LSupU;23|) + $)) + (QSETREFV $ 117 + (CONS (|dispatchFunction| + |POLYCAT-;factorPolynomial;SupF;24|) + $)) + (QSETREFV $ 119 + (CONS (|dispatchFunction| + |POLYCAT-;factorSquareFreePolynomial;SupF;25|) + $)) + (QSETREFV $ 137 + (CONS (|dispatchFunction| |POLYCAT-;factor;SF;26|) $)) + (COND + ((|HasCategory| |#2| '(|CharacteristicNonZero|)) + (PROGN + (QSETREFV $ 151 + (CONS (|dispatchFunction| + |POLYCAT-;conditionP;MU;27|) + $)))))))) + (COND + ((|HasCategory| |#2| '(|CharacteristicNonZero|)) + (PROGN + (QSETREFV $ 153 + (CONS (|dispatchFunction| |POLYCAT-;charthRoot;SU;28|) + $))))) + (COND ((|testBitVector| |pv$| 3) - (PROGN - (COND - ((|HasCategory| |#2| (QUOTE (|EuclideanDomain|))) - (COND - ((|HasCategory| |#2| (QUOTE (|CharacteristicZero|))) - (QSETREFV |$| 161 - (CONS - (|dispatchFunction| |POLYCAT-;squareFree;SF;31|) - |$|))) - ((QUOTE T) - (QSETREFV |$| 161 - (CONS - (|dispatchFunction| |POLYCAT-;squareFree;SF;32|) - |$|))))) - ((QUOTE T) - (QSETREFV |$| 161 - (CONS - (|dispatchFunction| |POLYCAT-;squareFree;SF;33|) |$|)))) - (QSETREFV |$| 169 - (CONS - (|dispatchFunction| |POLYCAT-;squareFreePart;2S;34|) |$|)) - (QSETREFV |$| 171 - (CONS (|dispatchFunction| |POLYCAT-;content;SVarSetS;35|) |$|)) - (QSETREFV |$| 176 - (CONS (|dispatchFunction| |POLYCAT-;primitivePart;2S;36|) |$|)) - (QSETREFV |$| 179 - (CONS - (|dispatchFunction| |POLYCAT-;primitivePart;SVarSetS;37|) |$|))))) - (COND + (PROGN + (COND + ((|HasCategory| |#2| '(|EuclideanDomain|)) + (COND + ((|HasCategory| |#2| '(|CharacteristicZero|)) + (QSETREFV $ 162 + (CONS (|dispatchFunction| + |POLYCAT-;squareFree;SF;31|) + $))) + ('T + (QSETREFV $ 162 + (CONS (|dispatchFunction| + |POLYCAT-;squareFree;SF;32|) + $))))) + ('T + (QSETREFV $ 162 + (CONS (|dispatchFunction| + |POLYCAT-;squareFree;SF;33|) + $)))) + (QSETREFV $ 170 + (CONS (|dispatchFunction| + |POLYCAT-;squareFreePart;2S;34|) + $)) + (QSETREFV $ 172 + (CONS (|dispatchFunction| + |POLYCAT-;content;SVarSetS;35|) + $)) + (QSETREFV $ 177 + (CONS (|dispatchFunction| + |POLYCAT-;primitivePart;2S;36|) + $)) + (QSETREFV $ 180 + (CONS (|dispatchFunction| + |POLYCAT-;primitivePart;SVarSetS;37|) + $))))) + (COND ((|testBitVector| |pv$| 15) - (PROGN - (QSETREFV |$| 182 - (CONS (|dispatchFunction| |POLYCAT-;<;2SB;38|) |$|)) - (COND - ((|testBitVector| |pv$| 8) - (COND - ((|testBitVector| |pv$| 7) - (QSETREFV |$| 188 - (CONS - (|dispatchFunction| - |POLYCAT-;patternMatch;SP2Pmr;39|) - |$|)))))) - (COND - ((|testBitVector| |pv$| 6) - (COND - ((|testBitVector| |pv$| 5) - (QSETREFV |$| 194 - (CONS - (|dispatchFunction| - |POLYCAT-;patternMatch;SP2Pmr;40|) - |$|))))))))) - (COND - ((|testBitVector| |pv$| 12) - (COND - ((|testBitVector| |pv$| 11) - (QSETREFV |$| 201 - (CONS 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|squareFree| 700 - |solveLinearPolynomialEquation| 705 |retractIfCan| 711 |retract| 716 - |resultant| 721 |reducedSystem| 728 |primitivePart| 739 - |primitiveMonomials| 750 |patternMatch| 755 |monomials| 769 - |monomial| 774 |monicDivide| 781 |isTimes| 788 |isPlus| 793 - |isExpt| 798 |gcdPolynomial| 803 |factorSquareFreePolynomial| 809 - |factorPolynomial| 814 |factor| 819 |eval| 824 |discriminant| 830 - |convert| 836 |content| 851 |conditionP| 857 |coefficient| 862 - |charthRoot| 876 |<| 881)) - (QUOTE NIL) - (CONS - (|makeByteWordVec2| 1 (QUOTE NIL)) - (CONS - (QUOTE #()) - (CONS - (QUOTE #()) - (|makeByteWordVec2| 216 - (QUOTE - (1 10 6 0 11 1 6 12 0 13 1 6 9 0 14 1 10 6 0 15 3 6 0 0 16 - 17 18 0 6 0 21 0 7 0 22 2 6 23 0 0 24 1 6 0 0 25 1 6 0 0 - 26 1 6 17 0 28 1 6 16 0 31 1 6 23 0 32 0 6 0 33 0 7 0 34 2 - 6 35 0 9 36 3 6 0 0 9 35 37 1 6 7 0 38 1 7 23 0 39 1 6 0 7 - 40 1 6 12 0 42 2 6 46 0 9 47 2 48 6 0 35 49 3 6 0 0 16 51 - 52 3 6 0 0 16 51 54 1 6 0 9 56 1 6 8 0 59 2 6 0 7 8 60 1 6 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1 129 167 0 168 1 0 - 0 0 169 1 48 6 0 170 2 0 0 0 9 171 1 6 7 0 172 2 6 141 0 7 - 173 1 6 174 0 175 1 0 0 0 176 2 6 0 0 9 177 2 6 141 0 0 - 178 2 0 0 0 9 179 2 8 23 0 0 180 2 7 23 0 0 181 2 0 23 0 0 - 182 3 185 183 6 184 183 186 3 0 187 0 184 187 188 3 191 189 - 6 190 189 192 3 0 193 0 190 193 194 1 9 184 0 195 1 7 184 - 0 196 3 199 184 197 198 6 200 1 0 184 0 201 1 9 190 0 202 - 1 7 190 0 203 3 206 190 204 205 6 207 1 0 190 0 208 1 9 - 209 0 210 1 7 209 0 211 3 214 209 212 213 6 215 1 0 209 0 - 216 2 0 35 0 16 72 1 0 35 0 69 1 0 0 0 169 1 0 119 0 161 2 - 0 110 111 46 112 1 0 12 0 58 1 0 9 0 57 3 0 0 0 0 9 74 1 0 - 88 94 95 2 0 100 94 101 102 2 0 0 0 9 179 1 0 0 0 176 1 0 - 17 0 61 3 0 187 0 184 187 188 3 0 193 0 190 193 194 1 0 17 - 0 27 3 0 0 0 16 51 55 3 0 156 0 0 9 158 1 0 29 0 41 1 0 29 - 0 30 1 0 44 0 45 2 0 46 46 46 105 1 0 115 46 118 1 0 115 - 46 116 1 0 119 0 136 2 0 0 0 19 20 2 0 0 0 9 76 1 0 209 0 - 216 1 0 184 0 201 1 0 190 0 208 2 0 0 0 9 171 1 0 145 94 - 150 3 0 0 0 16 51 53 3 0 0 0 9 35 50 1 0 141 0 152 2 0 - 23 0 0 182)))))) - (QUOTE |lookupComplete|))) - + (PROGN + (QSETREFV $ 183 + (CONS (|dispatchFunction| |POLYCAT-;<;2SB;38|) $)) + (COND + ((|testBitVector| |pv$| 8) + (COND + ((|testBitVector| |pv$| 7) + (QSETREFV $ 189 + (CONS (|dispatchFunction| + |POLYCAT-;patternMatch;SP2Pmr;39|) + $)))))) + (COND + ((|testBitVector| |pv$| 6) + (COND + ((|testBitVector| |pv$| 5) + (QSETREFV $ 195 + (CONS (|dispatchFunction| + |POLYCAT-;patternMatch;SP2Pmr;40|) + $))))))))) + (COND + ((|testBitVector| |pv$| 12) + (COND + ((|testBitVector| |pv$| 11) + (QSETREFV $ 202 + (CONS (|dispatchFunction| |POLYCAT-;convert;SP;41|) + $)))))) + (COND + ((|testBitVector| |pv$| 10) + (COND + ((|testBitVector| |pv$| 9) + (QSETREFV $ 209 + (CONS (|dispatchFunction| |POLYCAT-;convert;SP;42|) + $)))))) + (COND + ((|testBitVector| |pv$| 14) + (COND + ((|testBitVector| |pv$| 13) + (QSETREFV $ 217 + (CONS (|dispatchFunction| |POLYCAT-;convert;SIf;43|) + $)))))) + $)))) + +(MAKEPROP '|PolynomialCategory&| '|infovec| + (LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) + (|local| |#3|) (|local| |#4|) (|Equation| 6) (0 . |lhs|) + (|Union| 9 '"failed") (5 . |retractIfCan|) + (10 . |retract|) (15 . |rhs|) (|List| 9) (|List| $) + (20 . |eval|) (|List| 221) |POLYCAT-;eval;SLS;1| + (27 . |Zero|) (31 . |Zero|) (|Boolean|) (35 . =) + (41 . |not|) (46 . |leadingMonomial|) (51 . |reductum|) + |POLYCAT-;monomials;SL;2| (56 . |monomials|) + (|Union| 17 '"failed") |POLYCAT-;isPlus;SU;3| + (61 . |variables|) (66 . |monomial?|) (71 . |One|) + (75 . |One|) (|NonNegativeInteger|) (79 . |degree|) + (85 . |monomial|) (92 . |leadingCoefficient|) (97 . =) + (103 . |coerce|) |POLYCAT-;isTimes;SU;4| + (108 . |mainVariable|) + (|Record| (|:| |var| 9) (|:| |exponent| 36)) + (|Union| 44 '"failed") |POLYCAT-;isExpt;SU;5| + (|SparseUnivariatePolynomial| $) (113 . |univariate|) + (|SparseUnivariatePolynomial| 6) (119 . |coefficient|) + |POLYCAT-;coefficient;SVarSetNniS;6| (|List| 36) + (125 . |coefficient|) |POLYCAT-;coefficient;SLLS;7| + (132 . |monomial|) |POLYCAT-;monomial;SLLS;8| + (139 . |coerce|) |POLYCAT-;retract;SVarSet;9| + |POLYCAT-;retractIfCan;SU;10| (144 . |degree|) + (149 . |monomial|) |POLYCAT-;primitiveMonomials;SL;12| + (155 . |ground?|) (160 . |Zero|) (164 . =) + (170 . |degree|) (175 . |leadingCoefficient|) + (180 . |totalDegree|) (185 . |reductum|) + |POLYCAT-;totalDegree;SNni;13| (190 . |member?|) + (196 . |totalDegree|) |POLYCAT-;totalDegree;SLNni;14| + (202 . |resultant|) (208 . |resultant|) + (215 . |discriminant|) (220 . |discriminant|) + (226 . |primitiveMonomials|) (|List| 6) (231 . |concat|) + (236 . |removeDuplicates!|) (|Vector| 7) (241 . |new|) + (|Integer|) (247 . |minIndex|) (252 . |coefficient|) + (258 . |qsetelt!|) (|List| 220) (|Matrix| 7) + (265 . |matrix|) (|List| 79) (|Matrix| 6) + (270 . |listOfLists|) (275 . |vertConcat|) (|Matrix| $) + (281 . |reducedSystem|) (|Vector| 6) (286 . |entries|) + (291 . |concat|) (297 . |concat|) + (|Record| (|:| |mat| 89) (|:| |vec| 82)) (|Vector| $) + (303 . |reducedSystem|) + (|GeneralPolynomialGcdPackage| 8 9 7 6) + (309 . |gcdPolynomial|) (315 . |gcdPolynomial|) + (|Union| 108 '"failed") (|List| 49) + (|PolynomialFactorizationByRecursion| 7 8 9 6) + (321 . |solveLinearPolynomialEquationByRecursion|) + (|Union| 112 '"failed") (|List| 47) + (327 . |solveLinearPolynomialEquation|) (|Factored| 49) + (333 . |factorByRecursion|) (|Factored| 47) + (338 . |factorPolynomial|) + (343 . |factorSquareFreeByRecursion|) + (348 . |factorSquareFreePolynomial|) (|Factored| $) + (353 . |factor|) (|Factored| 7) (358 . |unit|) + (|Union| '"nil" '"sqfr" '"irred" '"prime") + (|Record| (|:| |flg| 124) (|:| |fctr| 7) (|:| |xpnt| 84)) + (|List| 125) (363 . |factorList|) + (|Record| (|:| |flg| 124) (|:| |fctr| 6) (|:| |xpnt| 84)) + (|List| 128) (|Factored| 6) (368 . |makeFR|) + (374 . |unit|) (379 . |multivariate|) + (|Record| (|:| |flg| 124) (|:| |fctr| 49) (|:| |xpnt| 84)) + (|List| 134) (385 . |factorList|) (390 . |factor|) + (395 . |transpose|) (400 . |characteristic|) + (404 . |setUnion|) (410 . |degree|) (|Union| $ '"failed") + (416 . |exquo|) (422 . |ground|) (427 . |transpose|) + (|Union| 102 '"failed") (432 . |conditionP|) (437 . |elt|) + (443 . *) (449 . +) (455 . |conditionP|) + (460 . |charthRoot|) (465 . |charthRoot|) (470 . |Zero|) + (474 . |coefficient|) (481 . -) + (|Record| (|:| |quotient| $) (|:| |remainder| $)) + (487 . |monicDivide|) |POLYCAT-;monicDivide;2SVarSetR;30| + (|MultivariateSquareFree| 8 9 7 6) (493 . |squareFree|) + (498 . |squareFree|) (|PolynomialSquareFree| 9 8 7 6) + (503 . |squareFree|) (508 . |squareFree|) (513 . |unit|) + (|Record| (|:| |factor| 6) (|:| |exponent| 84)) + (|List| 167) (518 . |factors|) (523 . |squareFreePart|) + (528 . |content|) (533 . |content|) (539 . |content|) + (544 . |exquo|) + (|Record| (|:| |unit| $) (|:| |canonical| $) + (|:| |associate| $)) + (550 . |unitNormal|) (555 . |primitivePart|) + (560 . |content|) (566 . |exquo|) (572 . |primitivePart|) + (578 . <) (584 . <) (590 . <) (|PatternMatchResult| 84 6) + (|Pattern| 84) + (|PatternMatchPolynomialCategory| 84 8 9 7 6) + (596 . |patternMatch|) (|PatternMatchResult| 84 $) + (603 . |patternMatch|) (|PatternMatchResult| (|Float|) 6) + (|Pattern| (|Float|)) + (|PatternMatchPolynomialCategory| (|Float|) 8 9 7 6) + (610 . |patternMatch|) (|PatternMatchResult| (|Float|) $) + (617 . |patternMatch|) (624 . |convert|) (629 . |convert|) + (|Mapping| 185 9) (|Mapping| 185 7) + (|PolynomialCategoryLifting| 8 9 7 6 185) (634 . |map|) + (641 . |convert|) (646 . |convert|) (651 . |convert|) + (|Mapping| 191 9) (|Mapping| 191 7) + (|PolynomialCategoryLifting| 8 9 7 6 191) (656 . |map|) + (663 . |convert|) (|InputForm|) (668 . |convert|) + (673 . |convert|) (|Mapping| 210 9) (|Mapping| 210 7) + (|PolynomialCategoryLifting| 8 9 7 6 210) (678 . |map|) + (685 . |convert|) + (|Record| (|:| |mat| 219) (|:| |vec| (|Vector| 84))) + (|Matrix| 84) (|List| 7) (|Equation| $) + (|Union| 84 '"failed") (|Union| 224 '"failed") + (|Fraction| 84) (|Union| 7 '"failed")) + '#(|totalDegree| 690 |squareFreePart| 701 |squareFree| 706 + |solveLinearPolynomialEquation| 711 |retractIfCan| 717 + |retract| 722 |resultant| 727 |reducedSystem| 734 + |primitivePart| 745 |primitiveMonomials| 756 + |patternMatch| 761 |monomials| 775 |monomial| 780 + |monicDivide| 787 |isTimes| 794 |isPlus| 799 |isExpt| 804 + |gcdPolynomial| 809 |factorSquareFreePolynomial| 815 + |factorPolynomial| 820 |factor| 825 |eval| 830 + |discriminant| 836 |convert| 842 |content| 857 + |conditionP| 863 |coefficient| 868 |charthRoot| 882 < 887) + 'NIL + (CONS (|makeByteWordVec2| 1 'NIL) + (CONS '#() + (CONS '#() + (|makeByteWordVec2| 217 + '(1 10 6 0 11 1 6 12 0 13 1 6 9 0 14 1 + 10 6 0 15 3 6 0 0 16 17 18 0 6 0 21 0 + 7 0 22 2 6 23 0 0 24 1 23 0 0 25 1 6 + 0 0 26 1 6 0 0 27 1 6 17 0 29 1 6 16 + 0 32 1 6 23 0 33 0 6 0 34 0 7 0 35 2 + 6 36 0 9 37 3 6 0 0 9 36 38 1 6 7 0 + 39 2 7 23 0 0 40 1 6 0 7 41 1 6 12 0 + 43 2 6 47 0 9 48 2 49 6 0 36 50 3 6 0 + 0 16 52 53 3 6 0 0 16 52 55 1 6 0 9 + 57 1 6 8 0 60 2 6 0 7 8 61 1 6 23 0 + 63 0 49 0 64 2 49 23 0 0 65 1 49 36 0 + 66 1 49 6 0 67 1 6 36 0 68 1 49 0 0 + 69 2 16 23 9 0 71 2 6 36 0 16 72 2 49 + 6 0 0 74 3 0 0 0 0 9 75 1 49 6 0 76 2 + 0 0 0 9 77 1 6 17 0 78 1 79 0 17 80 1 + 79 0 0 81 2 82 0 36 7 83 1 82 84 0 85 + 2 6 7 0 8 86 3 82 7 0 84 7 87 1 89 0 + 88 90 1 92 91 0 93 2 89 0 0 0 94 1 0 + 89 95 96 1 97 79 0 98 2 79 0 0 0 99 2 + 82 0 0 0 100 2 0 101 95 102 103 2 104 + 49 49 49 105 2 0 47 47 47 106 2 109 + 107 108 49 110 2 0 111 112 47 113 1 + 109 114 49 115 1 0 116 47 117 1 109 + 114 49 118 1 0 116 47 119 1 7 120 0 + 121 1 122 7 0 123 1 122 126 0 127 2 + 130 0 6 129 131 1 114 49 0 132 2 6 0 + 47 9 133 1 114 135 0 136 1 0 120 0 + 137 1 92 0 0 138 0 6 36 139 2 79 0 0 + 0 140 2 6 52 0 16 141 2 84 142 0 0 + 143 1 6 7 0 144 1 89 0 0 145 1 7 146 + 95 147 2 82 7 0 84 148 2 6 0 0 0 149 + 2 6 0 0 0 150 1 0 146 95 151 1 7 142 + 0 152 1 0 142 0 153 0 8 0 154 3 6 0 0 + 9 36 155 2 6 0 0 0 156 2 49 157 0 0 + 158 1 160 130 6 161 1 0 120 0 162 1 + 163 130 6 164 1 6 120 0 165 1 130 6 0 + 166 1 130 168 0 169 1 0 0 0 170 1 49 + 6 0 171 2 0 0 0 9 172 1 6 7 0 173 2 6 + 142 0 7 174 1 6 175 0 176 1 0 0 0 177 + 2 6 0 0 9 178 2 6 142 0 0 179 2 0 0 0 + 9 180 2 8 23 0 0 181 2 7 23 0 0 182 2 + 0 23 0 0 183 3 186 184 6 185 184 187 + 3 0 188 0 185 188 189 3 192 190 6 191 + 190 193 3 0 194 0 191 194 195 1 9 185 + 0 196 1 7 185 0 197 3 200 185 198 199 + 6 201 1 0 185 0 202 1 9 191 0 203 1 7 + 191 0 204 3 207 191 205 206 6 208 1 0 + 191 0 209 1 9 210 0 211 1 7 210 0 212 + 3 215 210 213 214 6 216 1 0 210 0 217 + 2 0 36 0 16 73 1 0 36 0 70 1 0 0 0 + 170 1 0 120 0 162 2 0 111 112 47 113 + 1 0 12 0 59 1 0 9 0 58 3 0 0 0 0 9 75 + 1 0 89 95 96 2 0 101 95 102 103 2 0 0 + 0 9 180 1 0 0 0 177 1 0 17 0 62 3 0 + 188 0 185 188 189 3 0 194 0 191 194 + 195 1 0 17 0 28 3 0 0 0 16 52 56 3 0 + 157 0 0 9 159 1 0 30 0 42 1 0 30 0 31 + 1 0 45 0 46 2 0 47 47 47 106 1 0 116 + 47 119 1 0 116 47 117 1 0 120 0 137 2 + 0 0 0 19 20 2 0 0 0 9 77 1 0 210 0 + 217 1 0 185 0 202 1 0 191 0 209 2 0 0 + 0 9 172 1 0 146 95 151 3 0 0 0 16 52 + 54 3 0 0 0 9 36 51 1 0 142 0 153 2 0 + 23 0 0 183))))) + '|lookupComplete|)) @ \section{package POLYLIFT PolynomialCategoryLifting} <<package POLYLIFT PolynomialCategoryLifting>>= @@ -3126,145 +2979,163 @@ Note that this code is not included in the generated catdef.spad file. <<UPOLYC.lsp BOOTSTRAP>>= -(|/VERSIONCHECK| 2) - -(SETQ |UnivariatePolynomialCategory;CAT| (QUOTE NIL)) - -(SETQ |UnivariatePolynomialCategory;AL| (QUOTE NIL)) - -(DEFUN |UnivariatePolynomialCategory| (#1=#:G103214) - (LET (#2=#:G103215) - (COND - ((SETQ #2# (|assoc| (|devaluate| #1#) |UnivariatePolynomialCategory;AL|)) - (CDR #2#)) - (T - (SETQ |UnivariatePolynomialCategory;AL| - (|cons5| - (CONS - (|devaluate| #1#) - (SETQ #2# (|UnivariatePolynomialCategory;| #1#))) - |UnivariatePolynomialCategory;AL|)) - #2#)))) - -(DEFUN |UnivariatePolynomialCategory;| (|t#1|) - (PROG (#1=#:G103213) - (RETURN - (PROG1 - (LETT #1# - (|sublisV| - (PAIR (QUOTE (|t#1|)) (LIST (|devaluate| |t#1|))) - (|sublisV| - (PAIR - (QUOTE (#2=#:G103211 #3=#:G103212)) - (LIST - (QUOTE (|NonNegativeInteger|)) - (QUOTE (|SingletonAsOrderedSet|)))) - (COND - (|UnivariatePolynomialCategory;CAT|) - ((QUOTE T) - (LETT |UnivariatePolynomialCategory;CAT| - (|Join| - (|PolynomialCategory| - (QUOTE |t#1|) (QUOTE #2#) (QUOTE #3#)) - (|Eltable| (QUOTE |t#1|) (QUOTE |t#1|)) - (|Eltable| (QUOTE |$|) (QUOTE |$|)) - (|DifferentialRing|) - (|DifferentialExtension| (QUOTE |t#1|)) - (|mkCategory| - (QUOTE |domain|) - (QUOTE ( - ((|vectorise| - ((|Vector| |t#1|) |$| (|NonNegativeInteger|))) T) - ((|makeSUP| - ((|SparseUnivariatePolynomial| |t#1|) |$|)) T) - ((|unmakeSUP| - (|$| (|SparseUnivariatePolynomial| |t#1|))) T) - ((|multiplyExponents| - (|$| |$| (|NonNegativeInteger|))) T) - ((|divideExponents| - ((|Union| |$| "failed") - |$| - (|NonNegativeInteger|))) T) - ((|monicDivide| - ((|Record| - (|:| |quotient| |$|) - (|:| |remainder| |$|)) - |$| - |$|)) T) - ((|karatsubaDivide| - ((|Record| - (|:| |quotient| |$|) - (|:| |remainder| |$|)) - |$| - (|NonNegativeInteger|))) T) - ((|shiftRight| (|$| |$| (|NonNegativeInteger|))) T) - ((|shiftLeft| (|$| |$| (|NonNegativeInteger|))) T) - ((|pseudoRemainder| (|$| |$| |$|)) T) - ((|differentiate| - (|$| |$| (|Mapping| |t#1| |t#1|) |$|)) T) - ((|discriminant| (|t#1| |$|)) - (|has| |t#1| (|CommutativeRing|))) - ((|resultant| (|t#1| |$| |$|)) - (|has| |t#1| (|CommutativeRing|))) - ((|elt| - ((|Fraction| |$|) - (|Fraction| |$|) - (|Fraction| |$|))) - (|has| |t#1| (|IntegralDomain|))) - ((|order| ((|NonNegativeInteger|) |$| |$|)) - (|has| |t#1| (|IntegralDomain|))) - ((|subResultantGcd| (|$| |$| |$|)) - (|has| |t#1| (|IntegralDomain|))) - ((|composite| ((|Union| |$| "failed") |$| |$|)) - (|has| |t#1| (|IntegralDomain|))) - ((|composite| - ((|Union| (|Fraction| |$|) "failed") - (|Fraction| |$|) - |$|)) - (|has| |t#1| (|IntegralDomain|))) - ((|pseudoQuotient| (|$| |$| |$|)) - (|has| |t#1| (|IntegralDomain|))) - ((|pseudoDivide| - ((|Record| - (|:| |coef| |t#1|) - (|:| |quotient| |$|) - (|:| |remainder| |$|)) - |$| - |$|)) - (|has| |t#1| (|IntegralDomain|))) - ((|separate| - ((|Record| - (|:| |primePart| |$|) - (|:| |commonPart| |$|)) - |$| - |$|)) - (|has| |t#1| (|GcdDomain|))) - ((|elt| (|t#1| (|Fraction| |$|) |t#1|)) - (|has| |t#1| (|Field|))) - ((|integrate| (|$| |$|)) - (|has| |t#1| - (|Algebra| (|Fraction| (|Integer|))))))) - (QUOTE ( - ((|StepThrough|) (|has| |t#1| (|StepThrough|))) - ((|Eltable| - (|Fraction| |$|) - (|Fraction| |$|)) - (|has| |t#1| (|IntegralDomain|))) - ((|EuclideanDomain|) (|has| |t#1| (|Field|))) - (|additiveValuation| (|has| |t#1| (|Field|))))) - (QUOTE ( - (|Fraction| |$|) - (|NonNegativeInteger|) - (|SparseUnivariatePolynomial| |t#1|) - (|Vector| |t#1|))) - NIL)) - . #4=(|UnivariatePolynomialCategory|)))))) - . #4#) - (SETELT #1# 0 - (LIST - (QUOTE |UnivariatePolynomialCategory|) - (|devaluate| |t#1|))))))) - +(/VERSIONCHECK 2) + +(DEFPARAMETER |UnivariatePolynomialCategory;CAT| 'NIL) + +(DEFPARAMETER |UnivariatePolynomialCategory;AL| 'NIL) + +(DEFUN |UnivariatePolynomialCategory| (#0=#:G1424) + (LET (#1=#:G1425) + (COND + ((SETQ #1# + (|assoc| (|devaluate| #0#) + |UnivariatePolynomialCategory;AL|)) + (CDR #1#)) + (T (SETQ |UnivariatePolynomialCategory;AL| + (|cons5| (CONS (|devaluate| #0#) + (SETQ #1# + (|UnivariatePolynomialCategory;| + #0#))) + |UnivariatePolynomialCategory;AL|)) + #1#)))) + +(DEFUN |UnivariatePolynomialCategory;| (|t#1|) + (PROG (#0=#:G1423) + (RETURN + (PROG1 (LETT #0# + (|sublisV| + (PAIR '(|t#1|) (LIST (|devaluate| |t#1|))) + (|sublisV| + (PAIR '(#1=#:G1421 #2=#:G1422) + (LIST '(|NonNegativeInteger|) + '(|SingletonAsOrderedSet|))) + (COND + (|UnivariatePolynomialCategory;CAT|) + ('T + (LETT |UnivariatePolynomialCategory;CAT| + (|Join| + (|PolynomialCategory| '|t#1| '#1# + '#2#) + (|Eltable| '|t#1| '|t#1|) + (|Eltable| '$ '$) + (|DifferentialRing|) + (|DifferentialExtension| '|t#1|) + (|mkCategory| '|domain| + '(((|vectorise| + ((|Vector| |t#1|) $ + (|NonNegativeInteger|))) + T) + ((|makeSUP| + ((|SparseUnivariatePolynomial| + |t#1|) + $)) + T) + ((|unmakeSUP| + ($ + (|SparseUnivariatePolynomial| + |t#1|))) + T) + ((|multiplyExponents| + ($ $ (|NonNegativeInteger|))) + T) + ((|divideExponents| + ((|Union| $ "failed") $ + (|NonNegativeInteger|))) + T) + ((|monicDivide| + ((|Record| (|:| |quotient| $) + (|:| |remainder| $)) + $ $)) + T) + ((|karatsubaDivide| + ((|Record| (|:| |quotient| $) + (|:| |remainder| $)) + $ (|NonNegativeInteger|))) + T) + ((|shiftRight| + ($ $ (|NonNegativeInteger|))) + T) + ((|shiftLeft| + ($ $ (|NonNegativeInteger|))) + T) + ((|pseudoRemainder| ($ $ $)) T) + ((|differentiate| + ($ $ (|Mapping| |t#1| |t#1|) + $)) + T) + ((|discriminant| (|t#1| $)) + (|has| |t#1| + (|CommutativeRing|))) + ((|resultant| (|t#1| $ $)) + (|has| |t#1| + (|CommutativeRing|))) + ((|elt| + ((|Fraction| $) + (|Fraction| $) + (|Fraction| $))) + (|has| |t#1| + (|IntegralDomain|))) + ((|order| + ((|NonNegativeInteger|) $ $)) + (|has| |t#1| + (|IntegralDomain|))) + ((|subResultantGcd| ($ $ $)) + (|has| |t#1| + (|IntegralDomain|))) + ((|composite| + ((|Union| $ "failed") $ $)) + (|has| |t#1| + (|IntegralDomain|))) + ((|composite| + ((|Union| (|Fraction| $) + "failed") + (|Fraction| $) $)) + (|has| |t#1| + (|IntegralDomain|))) + ((|pseudoQuotient| ($ $ $)) + (|has| |t#1| + (|IntegralDomain|))) + ((|pseudoDivide| + ((|Record| (|:| |coef| |t#1|) + (|:| |quotient| $) + (|:| |remainder| $)) + $ $)) + (|has| |t#1| + (|IntegralDomain|))) + ((|separate| + ((|Record| + (|:| |primePart| $) + (|:| |commonPart| $)) + $ $)) + (|has| |t#1| (|GcdDomain|))) + ((|elt| + (|t#1| (|Fraction| $) |t#1|)) + (|has| |t#1| (|Field|))) + ((|integrate| ($ $)) + (|has| |t#1| + (|Algebra| + (|Fraction| (|Integer|)))))) + '(((|StepThrough|) + (|has| |t#1| (|StepThrough|))) + ((|Eltable| (|Fraction| $) + (|Fraction| $)) + (|has| |t#1| + (|IntegralDomain|))) + ((|EuclideanDomain|) + (|has| |t#1| (|Field|))) + (|additiveValuation| + (|has| |t#1| (|Field|)))) + '((|Fraction| $) + (|NonNegativeInteger|) + (|SparseUnivariatePolynomial| + |t#1|) + (|Vector| |t#1|)) + NIL)) + . #3=(|UnivariatePolynomialCategory|)))))) . #3#) + (SETELT #0# 0 + (LIST '|UnivariatePolynomialCategory| + (|devaluate| |t#1|))))))) @ \section{UPOLYC-.lsp BOOTSTRAP} {\bf UPOLYC-} depends on {\bf UPOLYC}. We need to break this cycle to build @@ -3277,1377 +3148,1151 @@ Note that this code is not included in the generated catdef.spad file. <<UPOLYC-.lsp BOOTSTRAP>>= -(|/VERSIONCHECK| 2) +(/VERSIONCHECK 2) -(DEFUN |UPOLYC-;variables;SL;1| (|p| |$|) - (COND - ((OR - (SPADCALL |p| (QREFELT |$| 9)) - (ZEROP (SPADCALL |p| (QREFELT |$| 11)))) +(DEFUN |UPOLYC-;variables;SL;1| (|p| $) + (COND + ((OR (SPADCALL |p| (QREFELT $ 9)) + (ZEROP (SPADCALL |p| (QREFELT $ 11)))) NIL) - ((QUOTE T) (LIST (SPADCALL (QREFELT |$| 13)))))) + ('T (LIST (SPADCALL (QREFELT $ 13)))))) -(DEFUN |UPOLYC-;degree;SSaosNni;2| (|p| |v| |$|) - (SPADCALL |p| (QREFELT |$| 11))) +(DEFUN |UPOLYC-;degree;SSaosNni;2| (|p| |v| $) + (SPADCALL |p| (QREFELT $ 11))) -(DEFUN |UPOLYC-;totalDegree;SLNni;3| (|p| |lv| |$|) - (COND ((NULL |lv|) 0) ((QUOTE T) (SPADCALL |p| (QREFELT |$| 17))))) +(DEFUN |UPOLYC-;totalDegree;SLNni;3| (|p| |lv| $) + (COND ((NULL |lv|) 0) ('T (SPADCALL |p| (QREFELT $ 17))))) -(DEFUN |UPOLYC-;degree;SLL;4| (|p| |lv| |$|) - (COND ((NULL |lv|) NIL) ((QUOTE T) (LIST (SPADCALL |p| (QREFELT |$| 11)))))) +(DEFUN |UPOLYC-;degree;SLL;4| (|p| |lv| $) + (COND ((NULL |lv|) NIL) ('T (LIST (SPADCALL |p| (QREFELT $ 11)))))) -(DEFUN |UPOLYC-;eval;SLLS;5| (|p| |lv| |lq| |$|) - (COND +(DEFUN |UPOLYC-;eval;SLLS;5| (|p| |lv| |lq| $) + (COND ((NULL |lv|) |p|) - ((NULL (NULL (CDR |lv|))) - (|error| "can only eval a univariate polynomial once")) - ((QUOTE T) - (SPADCALL |p| (|SPADfirst| |lv|) (|SPADfirst| |lq|) (QREFELT |$| 21))))) + ((NULL (NULL (CDR |lv|))) + (|error| "can only eval a univariate polynomial once")) + ('T + (SPADCALL |p| (|SPADfirst| |lv|) (|SPADfirst| |lq|) + (QREFELT $ 21))))) -(DEFUN |UPOLYC-;eval;SSaos2S;6| (|p| |v| |q| |$|) - (SPADCALL |p| |q| (QREFELT |$| 24))) +(DEFUN |UPOLYC-;eval;SSaos2S;6| (|p| |v| |q| $) + (SPADCALL |p| |q| (QREFELT $ 24))) -(DEFUN |UPOLYC-;eval;SLLS;7| (|p| |lv| |lr| |$|) - (COND +(DEFUN |UPOLYC-;eval;SLLS;7| (|p| |lv| |lr| $) + (COND ((NULL |lv|) |p|) - ((NULL (NULL (CDR |lv|))) - (|error| "can only eval a univariate polynomial once")) - ((QUOTE T) - (SPADCALL |p| (|SPADfirst| |lv|) (|SPADfirst| |lr|) (QREFELT |$| 26))))) + ((NULL (NULL (CDR |lv|))) + (|error| "can only eval a univariate polynomial once")) + ('T + (SPADCALL |p| (|SPADfirst| |lv|) (|SPADfirst| |lr|) + (QREFELT $ 26))))) -(DEFUN |UPOLYC-;eval;SSaosRS;8| (|p| |v| |r| |$|) - (SPADCALL (SPADCALL |p| |r| (QREFELT |$| 29)) (QREFELT |$| 30))) +(DEFUN |UPOLYC-;eval;SSaosRS;8| (|p| |v| |r| $) + (SPADCALL (SPADCALL |p| |r| (QREFELT $ 29)) (QREFELT $ 30))) -(DEFUN |UPOLYC-;eval;SLS;9| (|p| |le| |$|) - (COND +(DEFUN |UPOLYC-;eval;SLS;9| (|p| |le| $) + (COND ((NULL |le|) |p|) - ((NULL (NULL (CDR |le|))) - (|error| "can only eval a univariate polynomial once")) - ((QUOTE T) - (COND - ((QEQCAR - (SPADCALL - (SPADCALL (|SPADfirst| |le|) (QREFELT |$| 33)) - (QREFELT |$| 35)) - 1) - |p|) - ((QUOTE T) - (SPADCALL |p| - (SPADCALL (|SPADfirst| |le|) (QREFELT |$| 36)) - (QREFELT |$| 24))))))) - -(DEFUN |UPOLYC-;mainVariable;SU;10| (|p| |$|) - (COND - ((ZEROP (SPADCALL |p| (QREFELT |$| 11))) (CONS 1 "failed")) - ((QUOTE T) (CONS 0 (SPADCALL (QREFELT |$| 13)))))) - -(DEFUN |UPOLYC-;minimumDegree;SSaosNni;11| (|p| |v| |$|) - (SPADCALL |p| (QREFELT |$| 40))) - -(DEFUN |UPOLYC-;minimumDegree;SLL;12| (|p| |lv| |$|) - (COND ((NULL |lv|) NIL) ((QUOTE T) (LIST (SPADCALL |p| (QREFELT |$| 40)))))) - -(DEFUN |UPOLYC-;monomial;SSaosNniS;13| (|p| |v| |n| |$|) - (SPADCALL - (CONS (FUNCTION |UPOLYC-;monomial;SSaosNniS;13!0|) (VECTOR |$| |n|)) - |p| - (QREFELT |$| 45))) - -(DEFUN |UPOLYC-;monomial;SSaosNniS;13!0| (|#1| |$$|) - (SPADCALL |#1| (QREFELT |$$| 1) (QREFELT (QREFELT |$$| 0) 43))) - -(DEFUN |UPOLYC-;coerce;SaosS;14| (|v| |$|) - (SPADCALL (|spadConstant| |$| 48) 1 (QREFELT |$| 49))) - -(DEFUN |UPOLYC-;makeSUP;SSup;15| (|p| |$|) - (COND - ((SPADCALL |p| (QREFELT |$| 9)) (|spadConstant| |$| 52)) - ((QUOTE T) - (SPADCALL - (SPADCALL - (SPADCALL |p| (QREFELT |$| 53)) - (SPADCALL |p| (QREFELT |$| 11)) - (QREFELT |$| 54)) - (SPADCALL - (SPADCALL |p| (QREFELT |$| 55)) - (QREFELT |$| 56)) - (QREFELT |$| 57))))) - -(DEFUN |UPOLYC-;unmakeSUP;SupS;16| (|sp| |$|) - (COND - ((SPADCALL |sp| (QREFELT |$| 59)) (|spadConstant| |$| 60)) - ((QUOTE T) - (SPADCALL - (SPADCALL - (SPADCALL |sp| (QREFELT |$| 61)) - (SPADCALL |sp| (QREFELT |$| 62)) - (QREFELT |$| 49)) - (SPADCALL (SPADCALL |sp| (QREFELT |$| 63)) (QREFELT |$| 64)) - (QREFELT |$| 65))))) - -(DEFUN |UPOLYC-;karatsubaDivide;SNniR;17| (|p| |n| |$|) - (SPADCALL |p| - (SPADCALL (|spadConstant| |$| 48) |n| (QREFELT |$| 49)) - (QREFELT |$| 68))) - -(DEFUN |UPOLYC-;shiftRight;SNniS;18| (|p| |n| |$|) - (QCAR - (SPADCALL |p| - (SPADCALL (|spadConstant| |$| 48) |n| (QREFELT |$| 49)) - (QREFELT |$| 68)))) - -(DEFUN |UPOLYC-;shiftLeft;SNniS;19| (|p| |n| |$|) - (SPADCALL |p| - (SPADCALL (|spadConstant| |$| 48) |n| (QREFELT |$| 49)) (QREFELT |$| 71))) - -(DEFUN |UPOLYC-;solveLinearPolynomialEquation;LSupU;20| (|lpp| |pp| |$|) - (SPADCALL |lpp| |pp| (QREFELT |$| 77))) - -(DEFUN |UPOLYC-;factorPolynomial;SupF;21| (|pp| |$|) - (SPADCALL |pp| (QREFELT |$| 83))) - -(DEFUN |UPOLYC-;factorSquareFreePolynomial;SupF;22| (|pp| |$|) - (SPADCALL |pp| (QREFELT |$| 86))) - -(DEFUN |UPOLYC-;factor;SF;23| (|p| |$|) - (PROG (|ansR| #1=#:G103310 |w| #2=#:G103311) - (RETURN - (SEQ - (COND - ((ZEROP (SPADCALL |p| (QREFELT |$| 11))) - (SEQ - (LETT |ansR| - (SPADCALL - (SPADCALL |p| (QREFELT |$| 53)) - (QREFELT |$| 89)) - |UPOLYC-;factor;SF;23|) - (EXIT - (SPADCALL - (SPADCALL - (SPADCALL |ansR| (QREFELT |$| 91)) - (QREFELT |$| 30)) - (PROGN - (LETT #1# NIL |UPOLYC-;factor;SF;23|) - (SEQ - (LETT |w| NIL |UPOLYC-;factor;SF;23|) - (LETT #2# - (SPADCALL |ansR| (QREFELT |$| 95)) - |UPOLYC-;factor;SF;23|) - G190 - (COND - ((OR - (ATOM #2#) - (PROGN - (LETT |w| (CAR #2#) |UPOLYC-;factor;SF;23|) - NIL)) - (GO G191))) - (SEQ - (EXIT - (LETT #1# - (CONS - (VECTOR - (QVELT |w| 0) - (SPADCALL (QVELT |w| 1) (QREFELT |$| 30)) - (QVELT |w| 2)) - #1#) - |UPOLYC-;factor;SF;23|))) - (LETT #2# (CDR #2#) |UPOLYC-;factor;SF;23|) - (GO G190) - G191 - (EXIT (NREVERSE0 #1#)))) - (QREFELT |$| 99))))) - ((QUOTE T) - (SPADCALL - (ELT |$| 64) - (SPADCALL (SPADCALL |p| (QREFELT |$| 56)) (QREFELT |$| 100)) - (QREFELT |$| 104)))))))) - -(DEFUN |UPOLYC-;vectorise;SNniV;24| (|p| |n| |$|) - (PROG (|v| |m| |i| #1=#:G103316 #2=#:G103312) - (RETURN - (SEQ - (LETT |m| - (SPADCALL - (LETT |v| - (SPADCALL |n| (|spadConstant| |$| 106) (QREFELT |$| 108)) - |UPOLYC-;vectorise;SNniV;24|) - (QREFELT |$| 110)) - |UPOLYC-;vectorise;SNniV;24|) - (SEQ - (LETT |i| - (SPADCALL |v| (QREFELT |$| 110)) - |UPOLYC-;vectorise;SNniV;24|) - (LETT #1# (QVSIZE |v|) |UPOLYC-;vectorise;SNniV;24|) - G190 - (COND ((|>| |i| #1#) (GO G191))) - (SEQ - (EXIT - (SPADCALL |v| |i| - (SPADCALL |p| - (PROG1 - (LETT #2# (|-| |i| |m|) |UPOLYC-;vectorise;SNniV;24|) - (|check-subtype| - (|>=| #2# 0) - (QUOTE (|NonNegativeInteger|)) - #2#)) - (QREFELT |$| 111)) - (QREFELT |$| 112)))) - (LETT |i| (|+| |i| 1) |UPOLYC-;vectorise;SNniV;24|) - (GO G190) - G191 - (EXIT NIL)) - (EXIT |v|))))) - -(DEFUN |UPOLYC-;retract;SR;25| (|p| |$|) - (COND - ((SPADCALL |p| (QREFELT |$| 9)) (|spadConstant| |$| 106)) - ((ZEROP (SPADCALL |p| (QREFELT |$| 11))) (SPADCALL |p| (QREFELT |$| 53))) - ((QUOTE T) (|error| "Polynomial is not of degree 0")))) - -(DEFUN |UPOLYC-;retractIfCan;SU;26| (|p| |$|) - (COND - ((SPADCALL |p| (QREFELT |$| 9)) (CONS 0 (|spadConstant| |$| 106))) - ((ZEROP (SPADCALL |p| (QREFELT |$| 11))) - (CONS 0 (SPADCALL |p| (QREFELT |$| 53)))) - ((QUOTE T) (CONS 1 "failed")))) - -(DEFUN |UPOLYC-;init;S;27| (|$|) - (SPADCALL (|spadConstant| |$| 117) (QREFELT |$| 30))) - -(DEFUN |UPOLYC-;nextItemInner| (|n| |$|) - (PROG (|nn| |n1| |n2| #1=#:G103337 |n3|) - (RETURN - (SEQ - (COND - ((SPADCALL |n| (QREFELT |$| 9)) - (CONS - 0 - (SPADCALL - (PROG2 - (LETT #1# - (SPADCALL (|spadConstant| |$| 106) (QREFELT |$| 120)) - |UPOLYC-;nextItemInner|) - (QCDR #1#) - (|check-union| (QEQCAR #1# 0) (QREFELT |$| 7) #1#)) - (QREFELT |$| 30)))) - ((ZEROP (SPADCALL |n| (QREFELT |$| 11))) - (SEQ - (LETT |nn| - (SPADCALL (SPADCALL |n| (QREFELT |$| 53)) (QREFELT |$| 120)) - |UPOLYC-;nextItemInner|) - (EXIT - (COND - ((QEQCAR |nn| 1) (CONS 1 "failed")) - ((QUOTE T) - (CONS 0 (SPADCALL (QCDR |nn|) (QREFELT |$| 30)))))))) - ((QUOTE T) - (SEQ - (LETT |n1| - (SPADCALL |n| (QREFELT |$| 55)) - |UPOLYC-;nextItemInner|) - (LETT |n2| - (|UPOLYC-;nextItemInner| |n1| |$|) - |UPOLYC-;nextItemInner|) - (EXIT - (COND - ((QEQCAR |n2| 0) - (CONS - 0 - (SPADCALL - (SPADCALL - (SPADCALL |n| (QREFELT |$| 53)) - (SPADCALL |n| (QREFELT |$| 11)) - (QREFELT |$| 49)) - (QCDR |n2|) - (QREFELT |$| 65)))) - ((|<| - (|+| 1 (SPADCALL |n1| (QREFELT |$| 11))) - (SPADCALL |n| (QREFELT |$| 11))) - (CONS - 0 - (SPADCALL - (SPADCALL - (SPADCALL |n| (QREFELT |$| 53)) - (SPADCALL |n| (QREFELT |$| 11)) - (QREFELT |$| 49)) - (SPADCALL - (PROG2 - (LETT #1# - (SPADCALL - (|spadConstant| |$| 117) - (QREFELT |$| 120)) - |UPOLYC-;nextItemInner|) - (QCDR #1#) - (|check-union| (QEQCAR #1# 0) (QREFELT |$| 7) #1#)) - (|+| 1 (SPADCALL |n1| (QREFELT |$| 11))) - (QREFELT |$| 49)) - (QREFELT |$| 65)))) - ((QUOTE T) - (SEQ - (LETT |n3| - (SPADCALL - (SPADCALL |n| (QREFELT |$| 53)) - (QREFELT |$| 120)) - |UPOLYC-;nextItemInner|) - (EXIT - (COND - ((QEQCAR |n3| 1) (CONS 1 "failed")) - ((QUOTE T) - (CONS - 0 - (SPADCALL - (QCDR |n3|) - (SPADCALL |n| (QREFELT |$| 11)) - (QREFELT |$| 49))))))))))))))))) - -(DEFUN |UPOLYC-;nextItem;SU;29| (|n| |$|) - (PROG (|n1| #1=#:G103350) - (RETURN - (SEQ - (LETT |n1| (|UPOLYC-;nextItemInner| |n| |$|) |UPOLYC-;nextItem;SU;29|) - (EXIT - (COND - ((QEQCAR |n1| 1) - (CONS - 0 - (SPADCALL - (PROG2 - (LETT #1# - (SPADCALL (|spadConstant| |$| 117) (QREFELT |$| 120)) - |UPOLYC-;nextItem;SU;29|) - (QCDR #1#) - (|check-union| (QEQCAR #1# 0) (QREFELT |$| 7) #1#)) - (|+| 1 (SPADCALL |n| (QREFELT |$| 11))) - (QREFELT |$| 49)))) - ((QUOTE T) |n1|))))))) - -(DEFUN |UPOLYC-;content;SSaosS;30| (|p| |v| |$|) - (SPADCALL (SPADCALL |p| (QREFELT |$| 123)) (QREFELT |$| 30))) - -(DEFUN |UPOLYC-;primeFactor| (|p| |q| |$|) - (PROG (#1=#:G103356 |p1|) - (RETURN - (SEQ - (LETT |p1| - (PROG2 - (LETT #1# - (SPADCALL |p| - (SPADCALL |p| |q| (QREFELT |$| 125)) - (QREFELT |$| 126)) - |UPOLYC-;primeFactor|) - (QCDR #1#) - (|check-union| (QEQCAR #1# 0) (QREFELT |$| 6) #1#)) - |UPOLYC-;primeFactor|) - (EXIT - (COND - ((SPADCALL |p1| |p| (QREFELT |$| 127)) |p|) - ((QUOTE T) (|UPOLYC-;primeFactor| |p1| |q| |$|)))))))) - -(DEFUN |UPOLYC-;separate;2SR;32| (|p| |q| |$|) - (PROG (|a| #1=#:G103362) - (RETURN - (SEQ - (LETT |a| - (|UPOLYC-;primeFactor| |p| |q| |$|) - |UPOLYC-;separate;2SR;32|) - (EXIT - (CONS - |a| - (PROG2 - (LETT #1# - (SPADCALL |p| |a| (QREFELT |$| 126)) - |UPOLYC-;separate;2SR;32|) - (QCDR #1#) - (|check-union| (QEQCAR #1# 0) (QREFELT |$| 6) #1#)))))))) - -(DEFUN |UPOLYC-;differentiate;SM2S;33| (|x| |deriv| |x'| |$|) - (PROG (|dg| |lc| #1=#:G103367 |d|) - (RETURN - (SEQ - (LETT |d| (|spadConstant| |$| 60) |UPOLYC-;differentiate;SM2S;33|) - (SEQ G190 - (COND - ((NULL - (|<| 0 - (LETT |dg| - (SPADCALL |x| (QREFELT |$| 11)) - |UPOLYC-;differentiate;SM2S;33|))) - (GO G191))) - (SEQ - (LETT |lc| - (SPADCALL |x| (QREFELT |$| 53)) - |UPOLYC-;differentiate;SM2S;33|) - (LETT |d| - (SPADCALL - (SPADCALL |d| - (SPADCALL |x'| - (SPADCALL - (SPADCALL |dg| |lc| (QREFELT |$| 131)) - (PROG1 - (LETT #1# (|-| |dg| 1) |UPOLYC-;differentiate;SM2S;33|) - (|check-subtype| - (|>=| #1# 0) - (QUOTE (|NonNegativeInteger|)) - #1#)) - (QREFELT |$| 49)) - (QREFELT |$| 71)) - (QREFELT |$| 65)) - (SPADCALL - (SPADCALL |lc| |deriv|) - |dg| - (QREFELT |$| 49)) - (QREFELT |$| 65)) - |UPOLYC-;differentiate;SM2S;33|) - (EXIT - (LETT |x| - (SPADCALL |x| (QREFELT |$| 55)) - |UPOLYC-;differentiate;SM2S;33|))) - NIL - (GO G190) - G191 - (EXIT NIL)) - (EXIT - (SPADCALL |d| - (SPADCALL - (SPADCALL - (SPADCALL |x| (QREFELT |$| 53)) - |deriv|) - (QREFELT |$| 30)) - (QREFELT |$| 65))))))) - -(DEFUN |UPOLYC-;ncdiff| (|n| |x'| |$|) - (PROG (#1=#:G103385 |n1|) - (RETURN - (COND - ((ZEROP |n|) (|spadConstant| |$| 60)) - ((ZEROP - (LETT |n1| - (PROG1 - (LETT #1# (|-| |n| 1) |UPOLYC-;ncdiff|) - (|check-subtype| - (|>=| #1# 0) - (QUOTE (|NonNegativeInteger|)) - #1#)) - |UPOLYC-;ncdiff|)) - |x'|) - ((QUOTE T) - (SPADCALL - (SPADCALL |x'| - (SPADCALL (|spadConstant| |$| 48) |n1| (QREFELT |$| 49)) - (QREFELT |$| 71)) - (SPADCALL - (SPADCALL (|spadConstant| |$| 48) 1 (QREFELT |$| 49)) - (|UPOLYC-;ncdiff| |n1| |x'| |$|) - (QREFELT |$| 71)) - (QREFELT |$| 65))))))) - -(DEFUN |UPOLYC-;differentiate;SM2S;35| (|x| |deriv| |x'| |$|) - (PROG (|dg| |lc| |d|) - (RETURN - (SEQ - (LETT |d| (|spadConstant| |$| 60) |UPOLYC-;differentiate;SM2S;35|) - (SEQ G190 - (COND - ((NULL - (|<| 0 - (LETT |dg| - (SPADCALL |x| (QREFELT |$| 11)) - |UPOLYC-;differentiate;SM2S;35|))) - (GO G191))) - (SEQ - (LETT |lc| - (SPADCALL |x| (QREFELT |$| 53)) - |UPOLYC-;differentiate;SM2S;35|) - (LETT |d| - (SPADCALL - (SPADCALL |d| - (SPADCALL - (SPADCALL |lc| |deriv|) - |dg| - (QREFELT |$| 49)) - (QREFELT |$| 65)) - (SPADCALL |lc| - (|UPOLYC-;ncdiff| |dg| |x'| |$|) - (QREFELT |$| 134)) - (QREFELT |$| 65)) - |UPOLYC-;differentiate;SM2S;35|) - (EXIT - (LETT |x| - (SPADCALL |x| (QREFELT |$| 55)) - |UPOLYC-;differentiate;SM2S;35|))) - NIL - (GO G190) - G191 - (EXIT NIL)) - (EXIT - (SPADCALL |d| - (SPADCALL - (SPADCALL (SPADCALL |x| (QREFELT |$| 53)) |deriv|) - (QREFELT |$| 30)) - (QREFELT |$| 65))))))) - -(DEFUN |UPOLYC-;differentiate;SMS;36| (|x| |deriv| |$|) - (SPADCALL |x| |deriv| (|spadConstant| |$| 47) (QREFELT |$| 135))) - -(DEFUN |UPOLYC-;differentiate;2S;37| (|x| |$|) - (PROG (|dg| #1=#:G103394 |d|) - (RETURN - (SEQ - (LETT |d| (|spadConstant| |$| 60) |UPOLYC-;differentiate;2S;37|) - (SEQ G190 - (COND - ((NULL - (|<| 0 - (LETT |dg| - (SPADCALL |x| (QREFELT |$| 11)) - |UPOLYC-;differentiate;2S;37|))) - (GO G191))) - (SEQ - (LETT |d| - (SPADCALL |d| - (SPADCALL - (SPADCALL |dg| - (SPADCALL |x| (QREFELT |$| 53)) (QREFELT |$| 131)) - (PROG1 - (LETT #1# (|-| |dg| 1) |UPOLYC-;differentiate;2S;37|) - (|check-subtype| - (|>=| #1# 0) - (QUOTE (|NonNegativeInteger|)) - #1#)) - (QREFELT |$| 49)) - (QREFELT |$| 65)) - |UPOLYC-;differentiate;2S;37|) - (EXIT - (LETT |x| - (SPADCALL |x| (QREFELT |$| 55)) - |UPOLYC-;differentiate;2S;37|))) - NIL - (GO G190) - G191 - (EXIT NIL)) - (EXIT |d|))))) - -(DEFUN |UPOLYC-;differentiate;SSaosS;38| (|x| |v| |$|) - (SPADCALL |x| (QREFELT |$| 138))) - -(DEFUN |UPOLYC-;elt;3F;39| (|g| |f| |$|) - (SPADCALL - (SPADCALL - (SPADCALL |g| (QREFELT |$| 141)) - |f| - (QREFELT |$| 143)) - (SPADCALL (SPADCALL |g| (QREFELT |$| 144)) |f| (QREFELT |$| 143)) - (QREFELT |$| 145))) - -(DEFUN |UPOLYC-;pseudoQuotient;3S;40| (|p| |q| |$|) - (PROG (|n| #1=#:G103440 #2=#:G103442) - (RETURN - (SEQ - (LETT |n| - (|+| - (|-| - (SPADCALL |p| (QREFELT |$| 11)) - (SPADCALL |q| (QREFELT |$| 11))) 1) - |UPOLYC-;pseudoQuotient;3S;40|) - (EXIT - (COND - ((|<| |n| 1) (|spadConstant| |$| 60)) - ((QUOTE T) - (PROG2 - (LETT #2# - (SPADCALL - (SPADCALL - (SPADCALL - (SPADCALL - (SPADCALL |q| (QREFELT |$| 53)) - (PROG1 - (LETT #1# |n| |UPOLYC-;pseudoQuotient;3S;40|) - (|check-subtype| - (|>=| #1# 0) - (QUOTE (|NonNegativeInteger|)) - #1#)) - (QREFELT |$| 147)) - |p| - (QREFELT |$| 134)) - (SPADCALL |p| |q| (QREFELT |$| 148)) - (QREFELT |$| 149)) - |q| - (QREFELT |$| 126)) - |UPOLYC-;pseudoQuotient;3S;40|) - (QCDR #2#) - (|check-union| (QEQCAR #2# 0) (QREFELT |$| 6) #2#))))))))) - -(DEFUN |UPOLYC-;pseudoDivide;2SR;41| (|p| |q| |$|) - (PROG (|n| |prem| #1=#:G103448 |lc| #2=#:G103450) - (RETURN - (SEQ - (LETT |n| - (|+| - (|-| - (SPADCALL |p| (QREFELT |$| 11)) - (SPADCALL |q| (QREFELT |$| 11))) 1) - |UPOLYC-;pseudoDivide;2SR;41|) - (EXIT - (COND - ((|<| |n| 1) - (VECTOR (|spadConstant| |$| 48) (|spadConstant| |$| 60) |p|)) - ((QUOTE T) - (SEQ - (LETT |prem| - (SPADCALL |p| |q| (QREFELT |$| 148)) - |UPOLYC-;pseudoDivide;2SR;41|) - (LETT |lc| - (SPADCALL - (SPADCALL |q| (QREFELT |$| 53)) - (PROG1 - (LETT #1# |n| |UPOLYC-;pseudoDivide;2SR;41|) - (|check-subtype| - (|>=| #1# 0) - (QUOTE (|NonNegativeInteger|)) #1#)) - (QREFELT |$| 147)) - |UPOLYC-;pseudoDivide;2SR;41|) - (EXIT - (VECTOR |lc| - (PROG2 - (LETT #2# - (SPADCALL - (SPADCALL - (SPADCALL |lc| |p| (QREFELT |$| 134)) - |prem| - (QREFELT |$| 149)) - |q| - (QREFELT |$| 126)) - |UPOLYC-;pseudoDivide;2SR;41|) - (QCDR #2#) - (|check-union| (QEQCAR #2# 0) (QREFELT |$| 6) #2#)) - |prem|)))))))))) - -(DEFUN |UPOLYC-;composite;FSU;42| (|f| |q| |$|) - (PROG (|n| |d|) - (RETURN - (SEQ - (LETT |n| - (SPADCALL (SPADCALL |f| (QREFELT |$| 141)) |q| (QREFELT |$| 153)) - |UPOLYC-;composite;FSU;42|) - (EXIT - (COND - ((QEQCAR |n| 1) (CONS 1 "failed")) - ((QUOTE T) - (SEQ - (LETT |d| - (SPADCALL - (SPADCALL |f| (QREFELT |$| 144)) |q| (QREFELT |$| 153)) - |UPOLYC-;composite;FSU;42|) - (EXIT - (COND - ((QEQCAR |d| 1) (CONS 1 "failed")) - ((QUOTE T) - (CONS - 0 - (SPADCALL - (QCDR |n|) - (QCDR |d|) - (QREFELT |$| 154)))))))))))))) - -(DEFUN |UPOLYC-;composite;2SU;43| (|p| |q| |$|) - (PROG (|cqr| |v| |u| |w| #1=#:G103476) - (RETURN - (SEQ - (COND - ((SPADCALL |p| (QREFELT |$| 157)) (CONS 0 |p|)) - ((QUOTE T) - (SEQ - (EXIT - (SEQ - (LETT |cqr| - (SPADCALL |p| |q| (QREFELT |$| 158)) - |UPOLYC-;composite;2SU;43|) - (COND - ((SPADCALL (QVELT |cqr| 2) (QREFELT |$| 157)) - (SEQ - (LETT |v| - (SPADCALL - (QVELT |cqr| 2) - (QVELT |cqr| 0) - (QREFELT |$| 159)) - |UPOLYC-;composite;2SU;43|) - (EXIT - (COND - ((QEQCAR |v| 0) - (SEQ - (LETT |u| - (SPADCALL - (QVELT |cqr| 1) - |q| - (QREFELT |$| 153)) - |UPOLYC-;composite;2SU;43|) - (EXIT - (COND - ((QEQCAR |u| 0) - (SEQ - (LETT |w| - (SPADCALL - (QCDR |u|) - (QVELT |cqr| 0) - (QREFELT |$| 159)) - |UPOLYC-;composite;2SU;43|) - (EXIT - (COND - ((QEQCAR |w| 0) - (PROGN - (LETT #1# - (CONS - 0 - (SPADCALL - (QCDR |v|) - (SPADCALL - (SPADCALL - (|spadConstant| |$| 48) - 1 - (QREFELT |$| 49)) - (QCDR |w|) - (QREFELT |$| 71)) - (QREFELT |$| 65))) - |UPOLYC-;composite;2SU;43|) - (GO #1#)))))))))))))))) - (EXIT (CONS 1 "failed")))) - #1# - (EXIT #1#)))))))) - -(DEFUN |UPOLYC-;elt;S2F;44| (|p| |f| |$|) - (PROG (|n| #1=#:G103483 |ans|) - (RETURN - (SEQ - (COND - ((SPADCALL |p| (QREFELT |$| 9)) (|spadConstant| |$| 161)) - ((QUOTE T) - (SEQ - (LETT |ans| - (SPADCALL - (SPADCALL (SPADCALL |p| (QREFELT |$| 53)) (QREFELT |$| 30)) - (QREFELT |$| 162)) - |UPOLYC-;elt;S2F;44|) - (LETT |n| (SPADCALL |p| (QREFELT |$| 11)) |UPOLYC-;elt;S2F;44|) - (SEQ G190 - (COND - ((NULL - (COND - ((SPADCALL - (LETT |p| - (SPADCALL |p| (QREFELT |$| 55)) - |UPOLYC-;elt;S2F;44|) - (QREFELT |$| 9)) - (QUOTE NIL)) - ((QUOTE T) (QUOTE T)))) + ((NULL (NULL (CDR |le|))) + (|error| "can only eval a univariate polynomial once")) + ('T + (COND + ((QEQCAR (SPADCALL (SPADCALL (|SPADfirst| |le|) (QREFELT $ 33)) + (QREFELT $ 35)) + 1) + |p|) + ('T + (SPADCALL |p| (SPADCALL (|SPADfirst| |le|) (QREFELT $ 36)) + (QREFELT $ 24))))))) + +(DEFUN |UPOLYC-;mainVariable;SU;10| (|p| $) + (COND + ((ZEROP (SPADCALL |p| (QREFELT $ 11))) (CONS 1 "failed")) + ('T (CONS 0 (SPADCALL (QREFELT $ 13)))))) + +(DEFUN |UPOLYC-;minimumDegree;SSaosNni;11| (|p| |v| $) + (SPADCALL |p| (QREFELT $ 40))) + +(DEFUN |UPOLYC-;minimumDegree;SLL;12| (|p| |lv| $) + (COND ((NULL |lv|) NIL) ('T (LIST (SPADCALL |p| (QREFELT $ 40)))))) + +(DEFUN |UPOLYC-;monomial;SSaosNniS;13| (|p| |v| |n| $) + (SPADCALL (CONS #'|UPOLYC-;monomial;SSaosNniS;13!0| (VECTOR $ |n|)) + |p| (QREFELT $ 45))) + +(DEFUN |UPOLYC-;monomial;SSaosNniS;13!0| (|#1| $$) + (SPADCALL |#1| (QREFELT $$ 1) (QREFELT (QREFELT $$ 0) 43))) + +(DEFUN |UPOLYC-;coerce;SaosS;14| (|v| $) + (SPADCALL (|spadConstant| $ 48) 1 (QREFELT $ 49))) + +(DEFUN |UPOLYC-;makeSUP;SSup;15| (|p| $) + (COND + ((SPADCALL |p| (QREFELT $ 9)) (|spadConstant| $ 52)) + ('T + (SPADCALL + (SPADCALL (SPADCALL |p| (QREFELT $ 53)) + (SPADCALL |p| (QREFELT $ 11)) (QREFELT $ 54)) + (SPADCALL (SPADCALL |p| (QREFELT $ 55)) (QREFELT $ 56)) + (QREFELT $ 57))))) + +(DEFUN |UPOLYC-;unmakeSUP;SupS;16| (|sp| $) + (COND + ((SPADCALL |sp| (QREFELT $ 59)) (|spadConstant| $ 60)) + ('T + (SPADCALL + (SPADCALL (SPADCALL |sp| (QREFELT $ 61)) + (SPADCALL |sp| (QREFELT $ 62)) (QREFELT $ 49)) + (SPADCALL (SPADCALL |sp| (QREFELT $ 63)) (QREFELT $ 64)) + (QREFELT $ 65))))) + +(DEFUN |UPOLYC-;karatsubaDivide;SNniR;17| (|p| |n| $) + (SPADCALL |p| (SPADCALL (|spadConstant| $ 48) |n| (QREFELT $ 49)) + (QREFELT $ 68))) + +(DEFUN |UPOLYC-;shiftRight;SNniS;18| (|p| |n| $) + (QCAR (SPADCALL |p| + (SPADCALL (|spadConstant| $ 48) |n| (QREFELT $ 49)) + (QREFELT $ 68)))) + +(DEFUN |UPOLYC-;shiftLeft;SNniS;19| (|p| |n| $) + (SPADCALL |p| (SPADCALL (|spadConstant| $ 48) |n| (QREFELT $ 49)) + (QREFELT $ 71))) + +(DEFUN |UPOLYC-;solveLinearPolynomialEquation;LSupU;20| (|lpp| |pp| $) + (SPADCALL |lpp| |pp| (QREFELT $ 77))) + +(DEFUN |UPOLYC-;factorPolynomial;SupF;21| (|pp| $) + (SPADCALL |pp| (QREFELT $ 83))) + +(DEFUN |UPOLYC-;factorSquareFreePolynomial;SupF;22| (|pp| $) + (SPADCALL |pp| (QREFELT $ 86))) + +(DEFUN |UPOLYC-;factor;SF;23| (|p| $) + (PROG (|ansR| #0=#:G1509 |w| #1=#:G1510) + (RETURN + (SEQ (COND + ((ZEROP (SPADCALL |p| (QREFELT $ 11))) + (SEQ (LETT |ansR| + (SPADCALL (SPADCALL |p| (QREFELT $ 53)) + (QREFELT $ 89)) + |UPOLYC-;factor;SF;23|) + (EXIT (SPADCALL + (SPADCALL (SPADCALL |ansR| (QREFELT $ 91)) + (QREFELT $ 30)) + (PROGN + (LETT #0# NIL |UPOLYC-;factor;SF;23|) + (SEQ (LETT |w| NIL + |UPOLYC-;factor;SF;23|) + (LETT #1# + (SPADCALL |ansR| (QREFELT $ 95)) + |UPOLYC-;factor;SF;23|) + G190 + (COND + ((OR (ATOM #1#) + (PROGN + (LETT |w| (CAR #1#) + |UPOLYC-;factor;SF;23|) + NIL)) + (GO G191))) + (SEQ + (EXIT + (LETT #0# + (CONS + (VECTOR (QVELT |w| 0) + (SPADCALL (QVELT |w| 1) + (QREFELT $ 30)) + (QVELT |w| 2)) + #0#) + |UPOLYC-;factor;SF;23|))) + (LETT #1# (CDR #1#) + |UPOLYC-;factor;SF;23|) + (GO G190) G191 + (EXIT (NREVERSE0 #0#)))) + (QREFELT $ 99))))) + ('T + (SPADCALL (ELT $ 64) + (SPADCALL (SPADCALL |p| (QREFELT $ 56)) + (QREFELT $ 100)) + (QREFELT $ 104)))))))) + +(DEFUN |UPOLYC-;vectorise;SNniV;24| (|p| |n| $) + (PROG (|v| |m| |i| #0=#:G1515 #1=#:G1511) + (RETURN + (SEQ (LETT |m| + (SPADCALL + (LETT |v| + (SPADCALL |n| (|spadConstant| $ 106) + (QREFELT $ 108)) + |UPOLYC-;vectorise;SNniV;24|) + (QREFELT $ 110)) + |UPOLYC-;vectorise;SNniV;24|) + (SEQ (LETT |i| (SPADCALL |v| (QREFELT $ 110)) + |UPOLYC-;vectorise;SNniV;24|) + (LETT #0# (QVSIZE |v|) |UPOLYC-;vectorise;SNniV;24|) + G190 (COND ((> |i| #0#) (GO G191))) + (SEQ (EXIT (SPADCALL |v| |i| + (SPADCALL |p| + (PROG1 + (LETT #1# (- |i| |m|) + |UPOLYC-;vectorise;SNniV;24|) + (|check-subtype| (>= #1# 0) + '(|NonNegativeInteger|) + #1#)) + (QREFELT $ 111)) + (QREFELT $ 112)))) + (LETT |i| (+ |i| 1) |UPOLYC-;vectorise;SNniV;24|) + (GO G190) G191 (EXIT NIL)) + (EXIT |v|))))) + +(DEFUN |UPOLYC-;retract;SR;25| (|p| $) + (COND + ((SPADCALL |p| (QREFELT $ 9)) (|spadConstant| $ 106)) + ((ZEROP (SPADCALL |p| (QREFELT $ 11))) + (SPADCALL |p| (QREFELT $ 53))) + ('T (|error| "Polynomial is not of degree 0")))) + +(DEFUN |UPOLYC-;retractIfCan;SU;26| (|p| $) + (COND + ((SPADCALL |p| (QREFELT $ 9)) (CONS 0 (|spadConstant| $ 106))) + ((ZEROP (SPADCALL |p| (QREFELT $ 11))) + (CONS 0 (SPADCALL |p| (QREFELT $ 53)))) + ('T (CONS 1 "failed")))) + +(DEFUN |UPOLYC-;init;S;27| ($) + (SPADCALL (|spadConstant| $ 117) (QREFELT $ 30))) + +(DEFUN |UPOLYC-;nextItemInner| (|n| $) + (PROG (|nn| |n1| |n2| #0=#:G1536 |n3|) + (RETURN + (SEQ (COND + ((SPADCALL |n| (QREFELT $ 9)) + (CONS 0 + (SPADCALL + (PROG2 (LETT #0# + (SPADCALL (|spadConstant| $ 106) + (QREFELT $ 120)) + |UPOLYC-;nextItemInner|) + (QCDR #0#) + (|check-union| (QEQCAR #0# 0) (QREFELT $ 7) + #0#)) + (QREFELT $ 30)))) + ((ZEROP (SPADCALL |n| (QREFELT $ 11))) + (SEQ (LETT |nn| + (SPADCALL (SPADCALL |n| (QREFELT $ 53)) + (QREFELT $ 120)) + |UPOLYC-;nextItemInner|) + (EXIT (COND + ((QEQCAR |nn| 1) (CONS 1 "failed")) + ('T + (CONS 0 + (SPADCALL (QCDR |nn|) (QREFELT $ 30)))))))) + ('T + (SEQ (LETT |n1| (SPADCALL |n| (QREFELT $ 55)) + |UPOLYC-;nextItemInner|) + (LETT |n2| (|UPOLYC-;nextItemInner| |n1| $) + |UPOLYC-;nextItemInner|) + (EXIT (COND + ((QEQCAR |n2| 0) + (CONS 0 + (SPADCALL + (SPADCALL + (SPADCALL |n| (QREFELT $ 53)) + (SPADCALL |n| (QREFELT $ 11)) + (QREFELT $ 49)) + (QCDR |n2|) (QREFELT $ 65)))) + ((< (+ 1 (SPADCALL |n1| (QREFELT $ 11))) + (SPADCALL |n| (QREFELT $ 11))) + (CONS 0 + (SPADCALL + (SPADCALL + (SPADCALL |n| (QREFELT $ 53)) + (SPADCALL |n| (QREFELT $ 11)) + (QREFELT $ 49)) + (SPADCALL + (PROG2 + (LETT #0# + (SPADCALL + (|spadConstant| $ 117) + (QREFELT $ 120)) + |UPOLYC-;nextItemInner|) + (QCDR #0#) + (|check-union| (QEQCAR #0# 0) + (QREFELT $ 7) #0#)) + (+ 1 + (SPADCALL |n1| (QREFELT $ 11))) + (QREFELT $ 49)) + (QREFELT $ 65)))) + ('T + (SEQ (LETT |n3| + (SPADCALL + (SPADCALL |n| (QREFELT $ 53)) + (QREFELT $ 120)) + |UPOLYC-;nextItemInner|) + (EXIT (COND + ((QEQCAR |n3| 1) + (CONS 1 "failed")) + ('T + (CONS 0 + (SPADCALL (QCDR |n3|) + (SPADCALL |n| + (QREFELT $ 11)) + (QREFELT $ 49))))))))))))))))) + +(DEFUN |UPOLYC-;nextItem;SU;29| (|n| $) + (PROG (|n1| #0=#:G1549) + (RETURN + (SEQ (LETT |n1| (|UPOLYC-;nextItemInner| |n| $) + |UPOLYC-;nextItem;SU;29|) + (EXIT (COND + ((QEQCAR |n1| 1) + (CONS 0 + (SPADCALL + (PROG2 (LETT #0# + (SPADCALL (|spadConstant| $ 117) + (QREFELT $ 120)) + |UPOLYC-;nextItem;SU;29|) + (QCDR #0#) + (|check-union| (QEQCAR #0# 0) + (QREFELT $ 7) #0#)) + (+ 1 (SPADCALL |n| (QREFELT $ 11))) + (QREFELT $ 49)))) + ('T |n1|))))))) + +(DEFUN |UPOLYC-;content;SSaosS;30| (|p| |v| $) + (SPADCALL (SPADCALL |p| (QREFELT $ 123)) (QREFELT $ 30))) + +(DEFUN |UPOLYC-;primeFactor| (|p| |q| $) + (PROG (#0=#:G1555 |p1|) + (RETURN + (SEQ (LETT |p1| + (PROG2 (LETT #0# + (SPADCALL |p| + (SPADCALL |p| |q| + (QREFELT $ 125)) + (QREFELT $ 126)) + |UPOLYC-;primeFactor|) + (QCDR #0#) + (|check-union| (QEQCAR #0# 0) (QREFELT $ 6) #0#)) + |UPOLYC-;primeFactor|) + (EXIT (COND + ((SPADCALL |p1| |p| (QREFELT $ 127)) |p|) + ('T (|UPOLYC-;primeFactor| |p1| |q| $)))))))) + +(DEFUN |UPOLYC-;separate;2SR;32| (|p| |q| $) + (PROG (|a| #0=#:G1561) + (RETURN + (SEQ (LETT |a| (|UPOLYC-;primeFactor| |p| |q| $) + |UPOLYC-;separate;2SR;32|) + (EXIT (CONS |a| + (PROG2 (LETT #0# + (SPADCALL |p| |a| (QREFELT $ 126)) + |UPOLYC-;separate;2SR;32|) + (QCDR #0#) + (|check-union| (QEQCAR #0# 0) (QREFELT $ 6) + #0#)))))))) + +(DEFUN |UPOLYC-;differentiate;SM2S;33| (|x| |deriv| |x'| $) + (PROG (|dg| |lc| #0=#:G1566 |d|) + (RETURN + (SEQ (LETT |d| (|spadConstant| $ 60) + |UPOLYC-;differentiate;SM2S;33|) + (SEQ G190 + (COND + ((NULL (< 0 + (LETT |dg| (SPADCALL |x| (QREFELT $ 11)) + |UPOLYC-;differentiate;SM2S;33|))) (GO G191))) - (SEQ - (EXIT - (LETT |ans| - (SPADCALL - (SPADCALL |ans| - (SPADCALL |f| - (PROG1 - (LETT #1# - (|-| |n| - (LETT |n| - (SPADCALL |p| (QREFELT |$| 11)) - |UPOLYC-;elt;S2F;44|)) - |UPOLYC-;elt;S2F;44|) - (|check-subtype| - (|>=| #1# 0) - (QUOTE (|NonNegativeInteger|)) - #1#)) - (QREFELT |$| 163)) - (QREFELT |$| 164)) - (SPADCALL - (SPADCALL - (SPADCALL |p| (QREFELT |$| 53)) - (QREFELT |$| 30)) - (QREFELT |$| 162)) - (QREFELT |$| 165)) - |UPOLYC-;elt;S2F;44|))) - NIL - (GO G190) - G191 - (EXIT NIL)) - (EXIT - (COND - ((ZEROP |n|) |ans|) - ((QUOTE T) - (SPADCALL |ans| - (SPADCALL |f| |n| (QREFELT |$| 166)) - (QREFELT |$| 164)))))))))))) - -(DEFUN |UPOLYC-;order;2SNni;45| (|p| |q| |$|) - (PROG (|u| #1=#:G103497 |ans|) - (RETURN - (SEQ - (EXIT - (COND - ((SPADCALL |p| (QREFELT |$| 9)) - (|error| "order: arguments must be nonzero")) - ((|<| (SPADCALL |q| (QREFELT |$| 11)) 1) - (|error| "order: place must be non-trivial")) - ((QUOTE T) - (SEQ - (LETT |ans| 0 |UPOLYC-;order;2SNni;45|) - (EXIT - (SEQ G190 - NIL - (SEQ - (LETT |u| - (SPADCALL |p| |q| (QREFELT |$| 126)) - |UPOLYC-;order;2SNni;45|) - (EXIT - (COND - ((QEQCAR |u| 1) - (PROGN - (LETT #1# |ans| |UPOLYC-;order;2SNni;45|) - (GO #1#))) - ((QUOTE T) - (SEQ - (LETT |p| (QCDR |u|) |UPOLYC-;order;2SNni;45|) - (EXIT - (LETT - |ans| - (|+| |ans| 1) - |UPOLYC-;order;2SNni;45|))))))) - NIL - (GO G190) - G191 - (EXIT NIL))))))) - #1# - (EXIT #1#))))) - -(DEFUN |UPOLYC-;squareFree;SF;46| (|p| |$|) - (SPADCALL |p| (QREFELT |$| 170))) - -(DEFUN |UPOLYC-;squareFreePart;2S;47| (|p| |$|) - (SPADCALL |p| (QREFELT |$| 172))) - -(DEFUN |UPOLYC-;gcdPolynomial;3Sup;48| (|pp| |qq| |$|) - (COND - ((SPADCALL |pp| (QREFELT |$| 174)) (SPADCALL |qq| (QREFELT |$| 175))) - ((SPADCALL |qq| (QREFELT |$| 174)) (SPADCALL |pp| (QREFELT |$| 175))) - ((QUOTE T) - (SPADCALL - (SPADCALL - (SPADCALL - (SPADCALL |pp| (QREFELT |$| 176)) - (SPADCALL |qq| (QREFELT |$| 176)) (QREFELT |$| 125)) - (SPADCALL - (SPADCALL - (SPADCALL |pp| (QREFELT |$| 177)) - (SPADCALL |qq| (QREFELT |$| 177)) (QREFELT |$| 178)) - (QREFELT |$| 177)) - (QREFELT |$| 179)) - (QREFELT |$| 175))))) - -(DEFUN |UPOLYC-;squareFreePolynomial;SupF;49| (|pp| |$|) - (SPADCALL |pp| (QREFELT |$| 182))) - -(DEFUN |UPOLYC-;elt;F2R;50| (|f| |r| |$|) - (SPADCALL - (SPADCALL - (SPADCALL |f| (QREFELT |$| 141)) - |r| - (QREFELT |$| 29)) - (SPADCALL (SPADCALL |f| (QREFELT |$| 144)) |r| (QREFELT |$| 29)) - (QREFELT |$| 184))) - -(DEFUN |UPOLYC-;euclideanSize;SNni;51| (|x| |$|) - (COND - ((SPADCALL |x| (QREFELT |$| 9)) - (|error| "euclideanSize called on 0 in Univariate Polynomial")) - ((QUOTE T) (SPADCALL |x| (QREFELT |$| 11))))) - -(DEFUN |UPOLYC-;divide;2SR;52| (|x| |y| |$|) - (PROG (|lc| |f| #1=#:G103510 |n| |quot|) - (RETURN - (SEQ - (COND - ((SPADCALL |y| (QREFELT |$| 9)) - (|error| "division by 0 in Univariate Polynomials")) - ((QUOTE T) - (SEQ - (LETT |quot| (|spadConstant| |$| 60) |UPOLYC-;divide;2SR;52|) - (LETT |lc| - (SPADCALL (SPADCALL |y| (QREFELT |$| 53)) (QREFELT |$| 187)) - |UPOLYC-;divide;2SR;52|) - (SEQ G190 - (COND - ((NULL - (COND - ((OR - (SPADCALL |x| (QREFELT |$| 9)) - (|<| - (SPADCALL |x| (QREFELT |$| 11)) - (SPADCALL |y| (QREFELT |$| 11)))) - (QUOTE NIL)) ((QUOTE T) (QUOTE T)))) - (GO G191))) - (SEQ - (LETT |f| - (SPADCALL |lc| - (SPADCALL |x| (QREFELT |$| 53)) - (QREFELT |$| 188)) - |UPOLYC-;divide;2SR;52|) - (LETT |n| - (PROG1 - (LETT #1# - (|-| - (SPADCALL |x| (QREFELT |$| 11)) - (SPADCALL |y| (QREFELT |$| 11))) + (SEQ (LETT |lc| (SPADCALL |x| (QREFELT $ 53)) + |UPOLYC-;differentiate;SM2S;33|) + (LETT |d| + (SPADCALL + (SPADCALL |d| + (SPADCALL |x'| + (SPADCALL + (SPADCALL |dg| |lc| + (QREFELT $ 131)) + (PROG1 + (LETT #0# (- |dg| 1) + |UPOLYC-;differentiate;SM2S;33|) + (|check-subtype| (>= #0# 0) + '(|NonNegativeInteger|) #0#)) + (QREFELT $ 49)) + (QREFELT $ 71)) + (QREFELT $ 65)) + (SPADCALL (SPADCALL |lc| |deriv|) |dg| + (QREFELT $ 49)) + (QREFELT $ 65)) + |UPOLYC-;differentiate;SM2S;33|) + (EXIT (LETT |x| (SPADCALL |x| (QREFELT $ 55)) + |UPOLYC-;differentiate;SM2S;33|))) + NIL (GO G190) G191 (EXIT NIL)) + (EXIT (SPADCALL |d| + (SPADCALL + (SPADCALL (SPADCALL |x| (QREFELT $ 53)) + |deriv|) + (QREFELT $ 30)) + (QREFELT $ 65))))))) + +(DEFUN |UPOLYC-;ncdiff| (|n| |x'| $) + (PROG (#0=#:G1584 |n1|) + (RETURN + (COND + ((ZEROP |n|) (|spadConstant| $ 60)) + ((ZEROP (LETT |n1| + (PROG1 (LETT #0# (- |n| 1) |UPOLYC-;ncdiff|) + (|check-subtype| (>= #0# 0) + '(|NonNegativeInteger|) #0#)) + |UPOLYC-;ncdiff|)) + |x'|) + ('T + (SPADCALL + (SPADCALL |x'| + (SPADCALL (|spadConstant| $ 48) |n1| (QREFELT $ 49)) + (QREFELT $ 71)) + (SPADCALL + (SPADCALL (|spadConstant| $ 48) 1 (QREFELT $ 49)) + (|UPOLYC-;ncdiff| |n1| |x'| $) (QREFELT $ 71)) + (QREFELT $ 65))))))) + +(DEFUN |UPOLYC-;differentiate;SM2S;35| (|x| |deriv| |x'| $) + (PROG (|dg| |lc| |d|) + (RETURN + (SEQ (LETT |d| (|spadConstant| $ 60) + |UPOLYC-;differentiate;SM2S;35|) + (SEQ G190 + (COND + ((NULL (< 0 + (LETT |dg| (SPADCALL |x| (QREFELT $ 11)) + |UPOLYC-;differentiate;SM2S;35|))) + (GO G191))) + (SEQ (LETT |lc| (SPADCALL |x| (QREFELT $ 53)) + |UPOLYC-;differentiate;SM2S;35|) + (LETT |d| + (SPADCALL + (SPADCALL |d| + (SPADCALL (SPADCALL |lc| |deriv|) + |dg| (QREFELT $ 49)) + (QREFELT $ 65)) + (SPADCALL |lc| + (|UPOLYC-;ncdiff| |dg| |x'| $) + (QREFELT $ 134)) + (QREFELT $ 65)) + |UPOLYC-;differentiate;SM2S;35|) + (EXIT (LETT |x| (SPADCALL |x| (QREFELT $ 55)) + |UPOLYC-;differentiate;SM2S;35|))) + NIL (GO G190) G191 (EXIT NIL)) + (EXIT (SPADCALL |d| + (SPADCALL + (SPADCALL (SPADCALL |x| (QREFELT $ 53)) + |deriv|) + (QREFELT $ 30)) + (QREFELT $ 65))))))) + +(DEFUN |UPOLYC-;differentiate;SMS;36| (|x| |deriv| $) + (SPADCALL |x| |deriv| (|spadConstant| $ 47) (QREFELT $ 135))) + +(DEFUN |UPOLYC-;differentiate;2S;37| (|x| $) + (PROG (|dg| #0=#:G1593 |d|) + (RETURN + (SEQ (LETT |d| (|spadConstant| $ 60) + |UPOLYC-;differentiate;2S;37|) + (SEQ G190 + (COND + ((NULL (< 0 + (LETT |dg| (SPADCALL |x| (QREFELT $ 11)) + |UPOLYC-;differentiate;2S;37|))) + (GO G191))) + (SEQ (LETT |d| + (SPADCALL |d| + (SPADCALL + (SPADCALL |dg| + (SPADCALL |x| (QREFELT $ 53)) + (QREFELT $ 131)) + (PROG1 + (LETT #0# (- |dg| 1) + |UPOLYC-;differentiate;2S;37|) + (|check-subtype| (>= #0# 0) + '(|NonNegativeInteger|) #0#)) + (QREFELT $ 49)) + (QREFELT $ 65)) + |UPOLYC-;differentiate;2S;37|) + (EXIT (LETT |x| (SPADCALL |x| (QREFELT $ 55)) + |UPOLYC-;differentiate;2S;37|))) + NIL (GO G190) G191 (EXIT NIL)) + (EXIT |d|))))) + +(DEFUN |UPOLYC-;differentiate;SSaosS;38| (|x| |v| $) + (SPADCALL |x| (QREFELT $ 138))) + +(DEFUN |UPOLYC-;elt;3F;39| (|g| |f| $) + (SPADCALL + (SPADCALL (SPADCALL |g| (QREFELT $ 141)) |f| (QREFELT $ 143)) + (SPADCALL (SPADCALL |g| (QREFELT $ 144)) |f| (QREFELT $ 143)) + (QREFELT $ 145))) + +(DEFUN |UPOLYC-;pseudoQuotient;3S;40| (|p| |q| $) + (PROG (|n| #0=#:G1639 #1=#:G1641) + (RETURN + (SEQ (LETT |n| + (+ (- (SPADCALL |p| (QREFELT $ 11)) + (SPADCALL |q| (QREFELT $ 11))) + 1) + |UPOLYC-;pseudoQuotient;3S;40|) + (EXIT (COND + ((< |n| 1) (|spadConstant| $ 60)) + ('T + (PROG2 (LETT #1# + (SPADCALL + (SPADCALL + (SPADCALL + (SPADCALL + (SPADCALL |q| (QREFELT $ 53)) + (PROG1 + (LETT #0# |n| + |UPOLYC-;pseudoQuotient;3S;40|) + (|check-subtype| (>= #0# 0) + '(|NonNegativeInteger|) #0#)) + (QREFELT $ 147)) + |p| (QREFELT $ 134)) + (SPADCALL |p| |q| + (QREFELT $ 148)) + (QREFELT $ 149)) + |q| (QREFELT $ 126)) + |UPOLYC-;pseudoQuotient;3S;40|) + (QCDR #1#) + (|check-union| (QEQCAR #1# 0) (QREFELT $ 6) #1#))))))))) + +(DEFUN |UPOLYC-;pseudoDivide;2SR;41| (|p| |q| $) + (PROG (|n| |prem| #0=#:G1647 |lc| #1=#:G1649) + (RETURN + (SEQ (LETT |n| + (+ (- (SPADCALL |p| (QREFELT $ 11)) + (SPADCALL |q| (QREFELT $ 11))) + 1) + |UPOLYC-;pseudoDivide;2SR;41|) + (EXIT (COND + ((< |n| 1) + (VECTOR (|spadConstant| $ 48) (|spadConstant| $ 60) + |p|)) + ('T + (SEQ (LETT |prem| + (SPADCALL |p| |q| (QREFELT $ 148)) + |UPOLYC-;pseudoDivide;2SR;41|) + (LETT |lc| + (SPADCALL (SPADCALL |q| (QREFELT $ 53)) + (PROG1 + (LETT #0# |n| + |UPOLYC-;pseudoDivide;2SR;41|) + (|check-subtype| (>= #0# 0) + '(|NonNegativeInteger|) #0#)) + (QREFELT $ 147)) + |UPOLYC-;pseudoDivide;2SR;41|) + (EXIT (VECTOR |lc| + (PROG2 + (LETT #1# + (SPADCALL + (SPADCALL + (SPADCALL |lc| |p| + (QREFELT $ 134)) + |prem| (QREFELT $ 149)) + |q| (QREFELT $ 126)) + |UPOLYC-;pseudoDivide;2SR;41|) + (QCDR #1#) + (|check-union| (QEQCAR #1# 0) + (QREFELT $ 6) #1#)) + |prem|)))))))))) + +(DEFUN |UPOLYC-;composite;FSU;42| (|f| |q| $) + (PROG (|n| |d|) + (RETURN + (SEQ (LETT |n| + (SPADCALL (SPADCALL |f| (QREFELT $ 141)) |q| + (QREFELT $ 153)) + |UPOLYC-;composite;FSU;42|) + (EXIT (COND + ((QEQCAR |n| 1) (CONS 1 "failed")) + ('T + (SEQ (LETT |d| + (SPADCALL (SPADCALL |f| (QREFELT $ 144)) + |q| (QREFELT $ 153)) + |UPOLYC-;composite;FSU;42|) + (EXIT (COND + ((QEQCAR |d| 1) (CONS 1 "failed")) + ('T + (CONS 0 + (SPADCALL (QCDR |n|) (QCDR |d|) + (QREFELT $ 154)))))))))))))) + +(DEFUN |UPOLYC-;composite;2SU;43| (|p| |q| $) + (PROG (|cqr| |v| |u| |w| #0=#:G1675) + (RETURN + (SEQ (COND + ((SPADCALL |p| (QREFELT $ 157)) (CONS 0 |p|)) + ('T + (SEQ (EXIT (SEQ (LETT |cqr| + (SPADCALL |p| |q| (QREFELT $ 158)) + |UPOLYC-;composite;2SU;43|) + (COND + ((SPADCALL (QVELT |cqr| 2) + (QREFELT $ 157)) + (SEQ (LETT |v| + (SPADCALL (QVELT |cqr| 2) + (QVELT |cqr| 0) + (QREFELT $ 159)) + |UPOLYC-;composite;2SU;43|) + (EXIT + (COND + ((QEQCAR |v| 0) + (SEQ + (LETT |u| + (SPADCALL (QVELT |cqr| 1) + |q| (QREFELT $ 153)) + |UPOLYC-;composite;2SU;43|) + (EXIT + (COND + ((QEQCAR |u| 0) + (SEQ + (LETT |w| + (SPADCALL (QCDR |u|) + (QVELT |cqr| 0) + (QREFELT $ 159)) + |UPOLYC-;composite;2SU;43|) + (EXIT + (COND + ((QEQCAR |w| 0) + (PROGN + (LETT #0# + (CONS 0 + (SPADCALL + (QCDR |v|) + (SPADCALL + (SPADCALL + (|spadConstant| + $ 48) + 1 + (QREFELT $ + 49)) + (QCDR |w|) + (QREFELT $ + 71)) + (QREFELT $ 65))) + |UPOLYC-;composite;2SU;43|) + (GO #0#)))))))))))))))) + (EXIT (CONS 1 "failed")))) + #0# (EXIT #0#)))))))) + +(DEFUN |UPOLYC-;elt;S2F;44| (|p| |f| $) + (PROG (|n| #0=#:G1681 |ans|) + (RETURN + (SEQ (COND + ((SPADCALL |p| (QREFELT $ 9)) (|spadConstant| $ 161)) + ('T + (SEQ (LETT |ans| + (SPADCALL + (SPADCALL (SPADCALL |p| (QREFELT $ 53)) + (QREFELT $ 30)) + (QREFELT $ 162)) + |UPOLYC-;elt;S2F;44|) + (LETT |n| (SPADCALL |p| (QREFELT $ 11)) + |UPOLYC-;elt;S2F;44|) + (SEQ G190 + (COND + ((NULL (SPADCALL + (SPADCALL + (LETT |p| + (SPADCALL |p| (QREFELT $ 55)) + |UPOLYC-;elt;S2F;44|) + (QREFELT $ 9)) + (QREFELT $ 163))) + (GO G191))) + (SEQ (EXIT (LETT |ans| + (SPADCALL + (SPADCALL |ans| + (SPADCALL |f| + (PROG1 + (LETT #0# + (- |n| + (LETT |n| + (SPADCALL |p| + (QREFELT $ 11)) + |UPOLYC-;elt;S2F;44|)) + |UPOLYC-;elt;S2F;44|) + (|check-subtype| (>= #0# 0) + '(|NonNegativeInteger|) #0#)) + (QREFELT $ 164)) + (QREFELT $ 165)) + (SPADCALL + (SPADCALL + (SPADCALL |p| (QREFELT $ 53)) + (QREFELT $ 30)) + (QREFELT $ 162)) + (QREFELT $ 166)) + |UPOLYC-;elt;S2F;44|))) + NIL (GO G190) G191 (EXIT NIL)) + (EXIT (COND + ((ZEROP |n|) |ans|) + ('T + (SPADCALL |ans| + (SPADCALL |f| |n| (QREFELT $ 167)) + (QREFELT $ 165)))))))))))) + +(DEFUN |UPOLYC-;order;2SNni;45| (|p| |q| $) + (PROG (|u| #0=#:G1695 |ans|) + (RETURN + (SEQ (EXIT (COND + ((SPADCALL |p| (QREFELT $ 9)) + (|error| "order: arguments must be nonzero")) + ((< (SPADCALL |q| (QREFELT $ 11)) 1) + (|error| "order: place must be non-trivial")) + ('T + (SEQ (LETT |ans| 0 |UPOLYC-;order;2SNni;45|) + (EXIT (SEQ G190 NIL + (SEQ + (LETT |u| + (SPADCALL |p| |q| + (QREFELT $ 126)) + |UPOLYC-;order;2SNni;45|) + (EXIT + (COND + ((QEQCAR |u| 1) + (PROGN + (LETT #0# |ans| + |UPOLYC-;order;2SNni;45|) + (GO #0#))) + ('T + (SEQ + (LETT |p| (QCDR |u|) + |UPOLYC-;order;2SNni;45|) + (EXIT + (LETT |ans| (+ |ans| 1) + |UPOLYC-;order;2SNni;45|))))))) + NIL (GO G190) G191 (EXIT NIL))))))) + #0# (EXIT #0#))))) + +(DEFUN |UPOLYC-;squareFree;SF;46| (|p| $) + (SPADCALL |p| (QREFELT $ 171))) + +(DEFUN |UPOLYC-;squareFreePart;2S;47| (|p| $) + (SPADCALL |p| (QREFELT $ 173))) + +(DEFUN |UPOLYC-;gcdPolynomial;3Sup;48| (|pp| |qq| $) + (COND + ((SPADCALL |pp| (QREFELT $ 175)) (SPADCALL |qq| (QREFELT $ 176))) + ((SPADCALL |qq| (QREFELT $ 175)) (SPADCALL |pp| (QREFELT $ 176))) + ('T + (SPADCALL + (SPADCALL + (SPADCALL (SPADCALL |pp| (QREFELT $ 177)) + (SPADCALL |qq| (QREFELT $ 177)) (QREFELT $ 125)) + (SPADCALL + (SPADCALL (SPADCALL |pp| (QREFELT $ 178)) + (SPADCALL |qq| (QREFELT $ 178)) (QREFELT $ 179)) + (QREFELT $ 178)) + (QREFELT $ 180)) + (QREFELT $ 176))))) + +(DEFUN |UPOLYC-;squareFreePolynomial;SupF;49| (|pp| $) + (SPADCALL |pp| (QREFELT $ 183))) + +(DEFUN |UPOLYC-;elt;F2R;50| (|f| |r| $) + (SPADCALL (SPADCALL (SPADCALL |f| (QREFELT $ 141)) |r| + (QREFELT $ 29)) + (SPADCALL (SPADCALL |f| (QREFELT $ 144)) |r| + (QREFELT $ 29)) + (QREFELT $ 185))) + +(DEFUN |UPOLYC-;euclideanSize;SNni;51| (|x| $) + (COND + ((SPADCALL |x| (QREFELT $ 9)) + (|error| "euclideanSize called on 0 in Univariate Polynomial")) + ('T (SPADCALL |x| (QREFELT $ 11))))) + +(DEFUN |UPOLYC-;divide;2SR;52| (|x| |y| $) + (PROG (|lc| |f| #0=#:G1707 |n| |quot|) + (RETURN + (SEQ (COND + ((SPADCALL |y| (QREFELT $ 9)) + (|error| "division by 0 in Univariate Polynomials")) + ('T + (SEQ (LETT |quot| (|spadConstant| $ 60) + |UPOLYC-;divide;2SR;52|) + (LETT |lc| + (SPADCALL (SPADCALL |y| (QREFELT $ 53)) + (QREFELT $ 188)) |UPOLYC-;divide;2SR;52|) - (|check-subtype| - (|>=| #1# 0) - (QUOTE (|NonNegativeInteger|)) - #1#)) - |UPOLYC-;divide;2SR;52|) - (LETT |quot| - (SPADCALL |quot| - (SPADCALL |f| |n| (QREFELT |$| 49)) - (QREFELT |$| 65)) - |UPOLYC-;divide;2SR;52|) - (EXIT - (LETT |x| - (SPADCALL |x| - (SPADCALL - (SPADCALL |f| |n| (QREFELT |$| 49)) - |y| - (QREFELT |$| 71)) - (QREFELT |$| 149)) - |UPOLYC-;divide;2SR;52|))) - NIL - (GO G190) - G191 - (EXIT NIL)) - (EXIT (CONS |quot| |x|))))))))) - -(DEFUN |UPOLYC-;integrate;2S;53| (|p| |$|) - (PROG (|l| |d| |ans|) - (RETURN - (SEQ - (LETT |ans| (|spadConstant| |$| 60) |UPOLYC-;integrate;2S;53|) - (SEQ G190 - (COND - ((NULL - (COND - ((SPADCALL |p| (|spadConstant| |$| 60) (QREFELT |$| 127)) - (QUOTE NIL)) - ((QUOTE T) (QUOTE T)))) (GO G191))) - (SEQ - (LETT |l| - (SPADCALL |p| (QREFELT |$| 53)) - |UPOLYC-;integrate;2S;53|) - (LETT |d| - (|+| 1 (SPADCALL |p| (QREFELT |$| 11))) - |UPOLYC-;integrate;2S;53|) - (LETT |ans| - (SPADCALL |ans| - (SPADCALL - (SPADCALL (SPADCALL |d| (QREFELT |$| 191)) (QREFELT |$| 192)) - (SPADCALL |l| |d| (QREFELT |$| 49)) (QREFELT |$| 193)) - (QREFELT |$| 65)) - |UPOLYC-;integrate;2S;53|) - (EXIT - (LETT |p| - (SPADCALL |p| (QREFELT |$| 55)) - |UPOLYC-;integrate;2S;53|))) - NIL - (GO G190) - G191 - (EXIT NIL)) - (EXIT |ans|))))) - -(DEFUN |UnivariatePolynomialCategory&| (|#1| |#2|) - (PROG (|DV$1| |DV$2| |dv$| |$| |pv$|) - (RETURN - (PROGN - (LETT |DV$1| (|devaluate| |#1|) . #1=(|UnivariatePolynomialCategory&|)) - (LETT |DV$2| (|devaluate| |#2|) . #1#) - (LETT |dv$| - (LIST (QUOTE |UnivariatePolynomialCategory&|) |DV$1| |DV$2|) . #1#) - (LETT |$| (GETREFV 201) . #1#) - (QSETREFV |$| 0 |dv$|) - (QSETREFV |$| 3 - (LETT |pv$| - (|buildPredVector| 0 0 - (LIST - (|HasCategory| |#2| - (QUOTE (|Algebra| (|Fraction| (|Integer|))))) - (|HasCategory| |#2| (QUOTE (|Field|))) - (|HasCategory| |#2| (QUOTE (|GcdDomain|))) - (|HasCategory| |#2| (QUOTE (|IntegralDomain|))) - (|HasCategory| |#2| (QUOTE (|CommutativeRing|))) - (|HasCategory| |#2| (QUOTE (|StepThrough|))))) . #1#)) - (|stuffDomainSlots| |$|) - (QSETREFV |$| 6 |#1|) - (QSETREFV |$| 7 |#2|) - (COND - ((|HasCategory| |#2| (QUOTE (|PolynomialFactorizationExplicit|))) - (PROGN - (QSETREFV |$| 81 - (CONS - (|dispatchFunction| - |UPOLYC-;solveLinearPolynomialEquation;LSupU;20|) - |$|)) - (QSETREFV |$| 85 - (CONS - (|dispatchFunction| |UPOLYC-;factorPolynomial;SupF;21|) - |$|)) - (QSETREFV |$| 87 - (CONS - (|dispatchFunction| - |UPOLYC-;factorSquareFreePolynomial;SupF;22|) - |$|)) - (QSETREFV |$| 105 - (CONS (|dispatchFunction| |UPOLYC-;factor;SF;23|) |$|))))) - (COND + (SEQ G190 + (COND + ((NULL (COND + ((SPADCALL |x| (QREFELT $ 9)) 'NIL) + ('T + (SPADCALL + (< (SPADCALL |x| (QREFELT $ 11)) + (SPADCALL |y| (QREFELT $ 11))) + (QREFELT $ 163))))) + (GO G191))) + (SEQ (LETT |f| + (SPADCALL |lc| + (SPADCALL |x| (QREFELT $ 53)) + (QREFELT $ 189)) + |UPOLYC-;divide;2SR;52|) + (LETT |n| + (PROG1 + (LETT #0# + (- (SPADCALL |x| (QREFELT $ 11)) + (SPADCALL |y| (QREFELT $ 11))) + |UPOLYC-;divide;2SR;52|) + (|check-subtype| (>= #0# 0) + '(|NonNegativeInteger|) #0#)) + |UPOLYC-;divide;2SR;52|) + (LETT |quot| + (SPADCALL |quot| + (SPADCALL |f| |n| (QREFELT $ 49)) + (QREFELT $ 65)) + |UPOLYC-;divide;2SR;52|) + (EXIT (LETT |x| + (SPADCALL |x| + (SPADCALL + (SPADCALL |f| |n| (QREFELT $ 49)) + |y| (QREFELT $ 71)) + (QREFELT $ 149)) + |UPOLYC-;divide;2SR;52|))) + NIL (GO G190) G191 (EXIT NIL)) + (EXIT (CONS |quot| |x|))))))))) + +(DEFUN |UPOLYC-;integrate;2S;53| (|p| $) + (PROG (|l| |d| |ans|) + (RETURN + (SEQ (LETT |ans| (|spadConstant| $ 60) |UPOLYC-;integrate;2S;53|) + (SEQ G190 + (COND + ((NULL (SPADCALL + (SPADCALL |p| (|spadConstant| $ 60) + (QREFELT $ 127)) + (QREFELT $ 163))) + (GO G191))) + (SEQ (LETT |l| (SPADCALL |p| (QREFELT $ 53)) + |UPOLYC-;integrate;2S;53|) + (LETT |d| (+ 1 (SPADCALL |p| (QREFELT $ 11))) + |UPOLYC-;integrate;2S;53|) + (LETT |ans| + (SPADCALL |ans| + (SPADCALL + (SPADCALL + (SPADCALL |d| (QREFELT $ 192)) + (QREFELT $ 193)) + (SPADCALL |l| |d| (QREFELT $ 49)) + (QREFELT $ 194)) + (QREFELT $ 65)) + |UPOLYC-;integrate;2S;53|) + (EXIT (LETT |p| (SPADCALL |p| (QREFELT $ 55)) + |UPOLYC-;integrate;2S;53|))) + NIL (GO G190) G191 (EXIT NIL)) + (EXIT |ans|))))) + +(DEFUN |UnivariatePolynomialCategory&| (|#1| |#2|) + (PROG (|dv$1| |dv$2| |dv$| $ |pv$|) + (RETURN + (PROGN + (LETT |dv$1| (|devaluate| |#1|) + . #0=(|UnivariatePolynomialCategory&|)) + (LETT |dv$2| (|devaluate| |#2|) . #0#) + (LETT |dv$| + (LIST '|UnivariatePolynomialCategory&| |dv$1| |dv$2|) . #0#) + (LETT $ (GETREFV 202) . #0#) + (QSETREFV $ 0 |dv$|) + (QSETREFV $ 3 + (LETT |pv$| + (|buildPredVector| 0 0 + (LIST (|HasCategory| |#2| + '(|Algebra| (|Fraction| (|Integer|)))) + (|HasCategory| |#2| '(|Field|)) + (|HasCategory| |#2| '(|GcdDomain|)) + (|HasCategory| |#2| '(|IntegralDomain|)) + (|HasCategory| |#2| '(|CommutativeRing|)) + (|HasCategory| |#2| '(|StepThrough|)))) . #0#)) + (|stuffDomainSlots| $) + (QSETREFV $ 6 |#1|) + (QSETREFV $ 7 |#2|) + (COND + ((|HasCategory| |#2| '(|PolynomialFactorizationExplicit|)) + (PROGN + (QSETREFV $ 81 + (CONS (|dispatchFunction| + |UPOLYC-;solveLinearPolynomialEquation;LSupU;20|) + $)) + (QSETREFV $ 85 + (CONS (|dispatchFunction| + |UPOLYC-;factorPolynomial;SupF;21|) + $)) + (QSETREFV $ 87 + (CONS (|dispatchFunction| + |UPOLYC-;factorSquareFreePolynomial;SupF;22|) + $)) + (QSETREFV $ 105 + (CONS (|dispatchFunction| |UPOLYC-;factor;SF;23|) $))))) + (COND ((|testBitVector| |pv$| 6) - (PROGN - (QSETREFV |$| 118 - (CONS (|dispatchFunction| |UPOLYC-;init;S;27|) |$|)) - NIL - (QSETREFV |$| 122 - (CONS (|dispatchFunction| |UPOLYC-;nextItem;SU;29|) |$|))))) - (COND + (PROGN + (QSETREFV $ 118 + (CONS (|dispatchFunction| |UPOLYC-;init;S;27|) $)) + NIL + (QSETREFV $ 122 + (CONS (|dispatchFunction| |UPOLYC-;nextItem;SU;29|) $))))) + (COND ((|testBitVector| |pv$| 3) - (PROGN - (QSETREFV |$| 124 - (CONS (|dispatchFunction| |UPOLYC-;content;SSaosS;30|) |$|)) - NIL - (QSETREFV |$| 129 - (CONS (|dispatchFunction| |UPOLYC-;separate;2SR;32|) |$|))))) - (COND + (PROGN + (QSETREFV $ 124 + (CONS (|dispatchFunction| |UPOLYC-;content;SSaosS;30|) + $)) + NIL + (QSETREFV $ 129 + (CONS (|dispatchFunction| |UPOLYC-;separate;2SR;32|) + $))))) + (COND ((|testBitVector| |pv$| 5) - (QSETREFV |$| 133 - (CONS - (|dispatchFunction| |UPOLYC-;differentiate;SM2S;33|) - |$|))) - ((QUOTE T) - (PROGN - (QSETREFV |$| 133 - (CONS - (|dispatchFunction| |UPOLYC-;differentiate;SM2S;35|) - |$|))))) - (COND + (QSETREFV $ 133 + (CONS (|dispatchFunction| + |UPOLYC-;differentiate;SM2S;33|) + $))) + ('T + (PROGN + (QSETREFV $ 133 + (CONS (|dispatchFunction| + |UPOLYC-;differentiate;SM2S;35|) + $))))) + (COND ((|testBitVector| |pv$| 4) - (PROGN - (QSETREFV |$| 146 - (CONS (|dispatchFunction| |UPOLYC-;elt;3F;39|) |$|)) - (QSETREFV |$| 150 - (CONS (|dispatchFunction| |UPOLYC-;pseudoQuotient;3S;40|) |$|)) - (QSETREFV |$| 152 - (CONS (|dispatchFunction| |UPOLYC-;pseudoDivide;2SR;41|) |$|)) - (QSETREFV |$| 156 - (CONS (|dispatchFunction| |UPOLYC-;composite;FSU;42|) |$|)) - (QSETREFV |$| 160 - (CONS (|dispatchFunction| |UPOLYC-;composite;2SU;43|) |$|)) - (QSETREFV |$| 167 - (CONS (|dispatchFunction| |UPOLYC-;elt;S2F;44|) |$|)) - (QSETREFV |$| 168 - (CONS (|dispatchFunction| |UPOLYC-;order;2SNni;45|) |$|))))) - (COND + (PROGN + (QSETREFV $ 146 + (CONS (|dispatchFunction| |UPOLYC-;elt;3F;39|) $)) + (QSETREFV $ 150 + (CONS (|dispatchFunction| + |UPOLYC-;pseudoQuotient;3S;40|) + $)) + (QSETREFV $ 152 + (CONS (|dispatchFunction| + |UPOLYC-;pseudoDivide;2SR;41|) + $)) + (QSETREFV $ 156 + (CONS (|dispatchFunction| |UPOLYC-;composite;FSU;42|) + $)) + (QSETREFV $ 160 + (CONS (|dispatchFunction| |UPOLYC-;composite;2SU;43|) + $)) + (QSETREFV $ 168 + (CONS (|dispatchFunction| |UPOLYC-;elt;S2F;44|) $)) + (QSETREFV $ 169 + (CONS (|dispatchFunction| |UPOLYC-;order;2SNni;45|) $))))) + (COND ((|testBitVector| |pv$| 3) - (PROGN - (QSETREFV |$| 171 - (CONS (|dispatchFunction| |UPOLYC-;squareFree;SF;46|) |$|)) - (QSETREFV |$| 173 - (CONS - (|dispatchFunction| |UPOLYC-;squareFreePart;2S;47|) - |$|))))) - (COND - ((|HasCategory| |#2| (QUOTE (|PolynomialFactorizationExplicit|))) - (PROGN - (QSETREFV |$| 180 - (CONS - (|dispatchFunction| |UPOLYC-;gcdPolynomial;3Sup;48|) - |$|)) - (QSETREFV |$| 183 - (CONS - (|dispatchFunction| |UPOLYC-;squareFreePolynomial;SupF;49|) - |$|))))) - (COND + (PROGN + (QSETREFV $ 172 + (CONS (|dispatchFunction| |UPOLYC-;squareFree;SF;46|) + $)) + (QSETREFV $ 174 + (CONS (|dispatchFunction| + |UPOLYC-;squareFreePart;2S;47|) + $))))) + (COND + ((|HasCategory| |#2| '(|PolynomialFactorizationExplicit|)) + (PROGN + (QSETREFV $ 181 + (CONS (|dispatchFunction| + |UPOLYC-;gcdPolynomial;3Sup;48|) + $)) + (QSETREFV $ 184 + (CONS (|dispatchFunction| + |UPOLYC-;squareFreePolynomial;SupF;49|) + $))))) + (COND ((|testBitVector| |pv$| 2) - (PROGN - (QSETREFV |$| 185 - (CONS (|dispatchFunction| |UPOLYC-;elt;F2R;50|) |$|)) - (QSETREFV |$| 186 - (CONS - (|dispatchFunction| |UPOLYC-;euclideanSize;SNni;51|) - |$|)) - (QSETREFV |$| 189 - (CONS (|dispatchFunction| |UPOLYC-;divide;2SR;52|) |$|))))) - (COND + (PROGN + (QSETREFV $ 186 + (CONS (|dispatchFunction| |UPOLYC-;elt;F2R;50|) $)) + (QSETREFV $ 187 + (CONS (|dispatchFunction| + |UPOLYC-;euclideanSize;SNni;51|) + $)) + (QSETREFV $ 190 + (CONS (|dispatchFunction| |UPOLYC-;divide;2SR;52|) $))))) + (COND ((|testBitVector| |pv$| 1) - (QSETREFV |$| 194 - (CONS - (|dispatchFunction| |UPOLYC-;integrate;2S;53|) - |$|)))) |$|)))) - -(MAKEPROP - (QUOTE |UnivariatePolynomialCategory&|) - (QUOTE |infovec|) - (LIST - (QUOTE - #(NIL NIL NIL NIL NIL NIL - (|local| |#1|) - (|local| |#2|) - (|Boolean|) - (0 . |zero?|) - (|NonNegativeInteger|) - (5 . |degree|) - (|SingletonAsOrderedSet|) - (10 . |create|) - (|List| 12) - |UPOLYC-;variables;SL;1| - |UPOLYC-;degree;SSaosNni;2| - (14 . |totalDegree|) - |UPOLYC-;totalDegree;SLNni;3| - (|List| 10) - |UPOLYC-;degree;SLL;4| - (19 . |eval|) - (|List| |$|) - |UPOLYC-;eval;SLLS;5| - (26 . |elt|) - |UPOLYC-;eval;SSaos2S;6| - (32 . |eval|) - (|List| 7) - |UPOLYC-;eval;SLLS;7| - (39 . |elt|) - (45 . |coerce|) - |UPOLYC-;eval;SSaosRS;8| - (|Equation| 6) - (50 . |lhs|) - (|Union| 12 (QUOTE "failed")) - (55 . |mainVariable|) - (60 . |rhs|) - (|List| 197) - |UPOLYC-;eval;SLS;9| - |UPOLYC-;mainVariable;SU;10| - (65 . |minimumDegree|) - |UPOLYC-;minimumDegree;SSaosNni;11| - |UPOLYC-;minimumDegree;SLL;12| - (70 . |+|) - (|Mapping| 10 10) - (76 . |mapExponents|) - |UPOLYC-;monomial;SSaosNniS;13| - (82 . |One|) - (86 . |One|) - (90 . |monomial|) - |UPOLYC-;coerce;SaosS;14| - (|SparseUnivariatePolynomial| 7) - (96 . |Zero|) - (100 . |leadingCoefficient|) - (105 . |monomial|) - (111 . |reductum|) - (116 . |makeSUP|) - (121 . |+|) - |UPOLYC-;makeSUP;SSup;15| - (127 . |zero?|) - (132 . |Zero|) - (136 . |leadingCoefficient|) - (141 . |degree|) - (146 . |reductum|) - (151 . |unmakeSUP|) - (156 . |+|) - |UPOLYC-;unmakeSUP;SupS;16| - (|Record| (|:| |quotient| |$|) (|:| |remainder| |$|)) - (162 . |monicDivide|) - |UPOLYC-;karatsubaDivide;SNniR;17| - |UPOLYC-;shiftRight;SNniS;18| - (168 . |*|) - |UPOLYC-;shiftLeft;SNniS;19| - (|Union| 74 (QUOTE "failed")) - (|List| 75) - (|SparseUnivariatePolynomial| 6) - (|PolynomialFactorizationByRecursionUnivariate| 7 6) - (174 . |solveLinearPolynomialEquationByRecursion|) - (|Union| 79 (QUOTE "failed")) - (|List| 80) - (|SparseUnivariatePolynomial| |$|) - (180 . |solveLinearPolynomialEquation|) - (|Factored| 75) - (186 . |factorByRecursion|) - (|Factored| 80) - (191 . |factorPolynomial|) - (196 . |factorSquareFreeByRecursion|) - (201 . |factorSquareFreePolynomial|) - (|Factored| |$|) - (206 . |factor|) - (|Factored| 7) - (211 . |unit|) - (|Union| (QUOTE "nil") (QUOTE "sqfr") (QUOTE "irred") (QUOTE "prime")) - (|Record| (|:| |flg| 92) (|:| |fctr| 7) (|:| |xpnt| 109)) - (|List| 93) - (216 . |factorList|) - (|Record| (|:| |flg| 92) (|:| |fctr| 6) (|:| |xpnt| 109)) - (|List| 96) - (|Factored| 6) - (221 . |makeFR|) - (227 . |factorPolynomial|) - (|Mapping| 6 51) - (|Factored| 51) - (|FactoredFunctions2| 51 6) - (232 . |map|) - (238 . |factor|) - (243 . |Zero|) - (|Vector| 7) - (247 . |new|) - (|Integer|) - (253 . |minIndex|) - (258 . |coefficient|) - (264 . |qsetelt!|) - |UPOLYC-;vectorise;SNniV;24| - |UPOLYC-;retract;SR;25| - (|Union| 7 (QUOTE "failed")) - |UPOLYC-;retractIfCan;SU;26| - (271 . |init|) - (275 . |init|) - (|Union| |$| (QUOTE "failed")) - (279 . |nextItem|) - (284 . |One|) - (288 . |nextItem|) - (293 . |content|) - (298 . |content|) - (304 . |gcd|) - (310 . |exquo|) - (316 . |=|) - (|Record| (|:| |primePart| |$|) (|:| |commonPart| |$|)) - (322 . |separate|) - (328 . |Zero|) - (332 . |*|) - (|Mapping| 7 7) - (338 . |differentiate|) - (345 . |*|) - (351 . |differentiate|) - |UPOLYC-;differentiate;SMS;36| - |UPOLYC-;differentiate;2S;37| - (358 . |differentiate|) - |UPOLYC-;differentiate;SSaosS;38| - (|Fraction| 6) - (363 . |numer|) - (|Fraction| |$|) - (368 . |elt|) - (374 . |denom|) - (379 . |/|) - (385 . |elt|) - (391 . |**|) - (397 . |pseudoRemainder|) - (403 . |-|) - (409 . |pseudoQuotient|) - (|Record| (|:| |coef| 7) (|:| |quotient| |$|) (|:| |remainder| |$|)) - (415 . |pseudoDivide|) - (421 . |composite|) - (427 . |/|) - (|Union| 142 (QUOTE "failed")) - (433 . |composite|) - (439 . |ground?|) - (444 . |pseudoDivide|) - (450 . |exquo|) - (456 . |composite|) - (462 . |Zero|) - (466 . |coerce|) - (471 . |**|) - (477 . |*|) - (483 . |+|) - (489 . |**|) - (495 . |elt|) - (501 . |order|) - (|UnivariatePolynomialSquareFree| 7 6) - (507 . |squareFree|) - (512 . |squareFree|) - (517 . |squareFreePart|) - (522 . |squareFreePart|) - (527 . |zero?|) - (532 . |unitCanonical|) - (537 . |content|) - (542 . |primitivePart|) - (547 . |subResultantGcd|) - (553 . |*|) - (559 . |gcdPolynomial|) - (|UnivariatePolynomialSquareFree| 6 75) - (565 . |squareFree|) - (570 . |squareFreePolynomial|) - (575 . |/|) - (581 . |elt|) - (587 . |euclideanSize|) - (592 . |inv|) - (597 . |*|) - (603 . |divide|) - (|Fraction| 109) - (609 . |coerce|) - (614 . |inv|) - (619 . |*|) - (625 . |integrate|) - (|Symbol|) - (|List| 195) - (|Equation| |$|) - (|Union| 109 (QUOTE "failed")) - (|Union| 190 (QUOTE "failed")) - (|OutputForm|))) - (QUOTE - #(|vectorise| 630 |variables| 636 |unmakeSUP| 641 |totalDegree| 646 - |squareFreePolynomial| 652 |squareFreePart| 657 |squareFree| 662 - |solveLinearPolynomialEquation| 667 |shiftRight| 673 |shiftLeft| 679 - |separate| 685 |retractIfCan| 691 |retract| 696 |pseudoQuotient| 701 - |pseudoDivide| 707 |order| 713 |nextItem| 719 |monomial| 724 - |minimumDegree| 731 |makeSUP| 743 |mainVariable| 748 - |karatsubaDivide| 753 |integrate| 759 |init| 764 |gcdPolynomial| 768 - |factorSquareFreePolynomial| 774 |factorPolynomial| 779 |factor| 784 - |eval| 789 |euclideanSize| 823 |elt| 828 |divide| 846 - |differentiate| 852 |degree| 876 |content| 888 |composite| 894 - |coerce| 906)) - (QUOTE NIL) - (CONS - (|makeByteWordVec2| 1 (QUOTE NIL)) - (CONS - (QUOTE #()) - (CONS - (QUOTE #()) - (|makeByteWordVec2| 194 - (QUOTE - (1 6 8 0 9 1 6 10 0 11 0 12 0 13 1 6 10 0 17 3 6 0 0 12 0 21 2 - 6 0 0 0 24 3 6 0 0 12 7 26 2 6 7 0 7 29 1 6 0 7 30 1 32 6 0 33 - 1 6 34 0 35 1 32 6 0 36 1 6 10 0 40 2 10 0 0 0 43 2 6 0 44 0 - 45 0 6 0 47 0 7 0 48 2 6 0 7 10 49 0 51 0 52 1 6 7 0 53 2 51 - 0 7 10 54 1 6 0 0 55 1 6 51 0 56 2 51 0 0 0 57 1 51 8 0 59 0 - 6 0 60 1 51 7 0 61 1 51 10 0 62 1 51 0 0 63 1 6 0 51 64 2 6 0 - 0 0 65 2 6 67 0 0 68 2 6 0 0 0 71 2 76 73 74 75 77 2 0 78 79 - 80 81 1 76 82 75 83 1 0 84 80 85 1 76 82 75 86 1 0 84 80 87 1 - 7 88 0 89 1 90 7 0 91 1 90 94 0 95 2 98 0 6 97 99 1 7 84 80 - 100 2 103 98 101 102 104 1 0 88 0 105 0 7 0 106 2 107 0 10 7 - 108 1 107 109 0 110 2 6 7 0 10 111 3 107 7 0 109 7 112 0 7 0 - 117 0 0 0 118 1 7 119 0 120 0 75 0 121 1 0 119 0 122 1 6 7 0 - 123 2 0 0 0 12 124 2 6 0 0 0 125 2 6 119 0 0 126 2 6 8 0 0 127 - 2 0 128 0 0 129 0 75 0 130 2 7 0 10 0 131 3 0 0 0 132 0 133 2 - 6 0 7 0 134 3 6 0 0 132 0 135 1 6 0 0 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(19 . |eval|) (|List| $) + |UPOLYC-;eval;SLLS;5| (26 . |elt|) + |UPOLYC-;eval;SSaos2S;6| (32 . |eval|) (|List| 7) + |UPOLYC-;eval;SLLS;7| (39 . |elt|) (45 . |coerce|) + |UPOLYC-;eval;SSaosRS;8| (|Equation| 6) (50 . |lhs|) + (|Union| 12 '"failed") (55 . |mainVariable|) (60 . |rhs|) + (|List| 198) |UPOLYC-;eval;SLS;9| + |UPOLYC-;mainVariable;SU;10| (65 . |minimumDegree|) + |UPOLYC-;minimumDegree;SSaosNni;11| + |UPOLYC-;minimumDegree;SLL;12| (70 . +) (|Mapping| 10 10) + (76 . |mapExponents|) |UPOLYC-;monomial;SSaosNniS;13| + (82 . |One|) (86 . |One|) (90 . |monomial|) + |UPOLYC-;coerce;SaosS;14| (|SparseUnivariatePolynomial| 7) + (96 . |Zero|) (100 . |leadingCoefficient|) + (105 . |monomial|) (111 . |reductum|) (116 . |makeSUP|) + (121 . +) |UPOLYC-;makeSUP;SSup;15| (127 . |zero?|) + (132 . |Zero|) (136 . |leadingCoefficient|) + (141 . |degree|) (146 . |reductum|) (151 . |unmakeSUP|) + (156 . +) |UPOLYC-;unmakeSUP;SupS;16| + (|Record| (|:| |quotient| $) (|:| |remainder| $)) + (162 . |monicDivide|) |UPOLYC-;karatsubaDivide;SNniR;17| + |UPOLYC-;shiftRight;SNniS;18| (168 . *) + |UPOLYC-;shiftLeft;SNniS;19| (|Union| 74 '"failed") + (|List| 75) (|SparseUnivariatePolynomial| 6) + (|PolynomialFactorizationByRecursionUnivariate| 7 6) + (174 . |solveLinearPolynomialEquationByRecursion|) + (|Union| 79 '"failed") (|List| 80) + (|SparseUnivariatePolynomial| $) + (180 . |solveLinearPolynomialEquation|) (|Factored| 75) + (186 . |factorByRecursion|) (|Factored| 80) + (191 . |factorPolynomial|) + (196 . |factorSquareFreeByRecursion|) + (201 . |factorSquareFreePolynomial|) (|Factored| $) + (206 . |factor|) (|Factored| 7) (211 . |unit|) + (|Union| '"nil" '"sqfr" '"irred" '"prime") + (|Record| (|:| |flg| 92) (|:| |fctr| 7) (|:| |xpnt| 109)) + (|List| 93) (216 . |factorList|) + (|Record| (|:| |flg| 92) (|:| |fctr| 6) (|:| |xpnt| 109)) + (|List| 96) (|Factored| 6) (221 . |makeFR|) + (227 . |factorPolynomial|) (|Mapping| 6 51) + (|Factored| 51) (|FactoredFunctions2| 51 6) (232 . |map|) + (238 . |factor|) (243 . |Zero|) (|Vector| 7) (247 . |new|) + (|Integer|) (253 . |minIndex|) (258 . |coefficient|) + (264 . |qsetelt!|) |UPOLYC-;vectorise;SNniV;24| + |UPOLYC-;retract;SR;25| (|Union| 7 '"failed") + |UPOLYC-;retractIfCan;SU;26| (271 . |init|) (275 . |init|) + (|Union| $ '"failed") (279 . |nextItem|) (284 . |One|) + (288 . |nextItem|) (293 . |content|) (298 . |content|) + (304 . |gcd|) (310 . |exquo|) (316 . =) + (|Record| (|:| |primePart| $) (|:| |commonPart| $)) + (322 . |separate|) (328 . |Zero|) (332 . *) + (|Mapping| 7 7) (338 . |differentiate|) (345 . *) + (351 . |differentiate|) |UPOLYC-;differentiate;SMS;36| + |UPOLYC-;differentiate;2S;37| (358 . |differentiate|) + |UPOLYC-;differentiate;SSaosS;38| (|Fraction| 6) + (363 . |numer|) (|Fraction| $) (368 . |elt|) + (374 . |denom|) (379 . /) (385 . |elt|) (391 . **) + (397 . |pseudoRemainder|) (403 . -) + (409 . |pseudoQuotient|) + (|Record| (|:| |coef| 7) (|:| |quotient| $) + (|:| |remainder| $)) + (415 . |pseudoDivide|) (421 . |composite|) (427 . /) + (|Union| 142 '"failed") (433 . |composite|) + (439 . |ground?|) (444 . |pseudoDivide|) (450 . |exquo|) + (456 . |composite|) (462 . |Zero|) (466 . |coerce|) + (471 . |not|) (476 . **) (482 . *) (488 . +) (494 . **) + (500 . |elt|) (506 . |order|) + (|UnivariatePolynomialSquareFree| 7 6) + (512 . |squareFree|) (517 . |squareFree|) + (522 . |squareFreePart|) (527 . |squareFreePart|) + (532 . |zero?|) (537 . |unitCanonical|) (542 . |content|) + (547 . |primitivePart|) (552 . |subResultantGcd|) + (558 . *) (564 . |gcdPolynomial|) + (|UnivariatePolynomialSquareFree| 6 75) + (570 . |squareFree|) (575 . |squareFreePolynomial|) + (580 . /) (586 . |elt|) (592 . |euclideanSize|) + (597 . |inv|) (602 . *) (608 . |divide|) (|Fraction| 109) + (614 . |coerce|) (619 . |inv|) (624 . *) + (630 . |integrate|) (|Symbol|) (|List| 196) (|Equation| $) + (|Union| 109 '"failed") (|Union| 191 '"failed") + (|OutputForm|)) + '#(|vectorise| 635 |variables| 641 |unmakeSUP| 646 + |totalDegree| 651 |squareFreePolynomial| 657 + |squareFreePart| 662 |squareFree| 667 + |solveLinearPolynomialEquation| 672 |shiftRight| 678 + |shiftLeft| 684 |separate| 690 |retractIfCan| 696 + |retract| 701 |pseudoQuotient| 706 |pseudoDivide| 712 + |order| 718 |nextItem| 724 |monomial| 729 |minimumDegree| + 736 |makeSUP| 748 |mainVariable| 753 |karatsubaDivide| 758 + |integrate| 764 |init| 769 |gcdPolynomial| 773 + |factorSquareFreePolynomial| 779 |factorPolynomial| 784 + |factor| 789 |eval| 794 |euclideanSize| 828 |elt| 833 + |divide| 851 |differentiate| 857 |degree| 881 |content| + 893 |composite| 899 |coerce| 911) + 'NIL + (CONS (|makeByteWordVec2| 1 'NIL) + (CONS '#() + (CONS '#() + (|makeByteWordVec2| 195 + '(1 6 8 0 9 1 6 10 0 11 0 12 0 13 1 6 + 10 0 17 3 6 0 0 12 0 21 2 6 0 0 0 24 + 3 6 0 0 12 7 26 2 6 7 0 7 29 1 6 0 7 + 30 1 32 6 0 33 1 6 34 0 35 1 32 6 0 + 36 1 6 10 0 40 2 10 0 0 0 43 2 6 0 44 + 0 45 0 6 0 47 0 7 0 48 2 6 0 7 10 49 + 0 51 0 52 1 6 7 0 53 2 51 0 7 10 54 1 + 6 0 0 55 1 6 51 0 56 2 51 0 0 0 57 1 + 51 8 0 59 0 6 0 60 1 51 7 0 61 1 51 + 10 0 62 1 51 0 0 63 1 6 0 51 64 2 6 0 + 0 0 65 2 6 67 0 0 68 2 6 0 0 0 71 2 + 76 73 74 75 77 2 0 78 79 80 81 1 76 + 82 75 83 1 0 84 80 85 1 76 82 75 86 1 + 0 84 80 87 1 7 88 0 89 1 90 7 0 91 1 + 90 94 0 95 2 98 0 6 97 99 1 7 84 80 + 100 2 103 98 101 102 104 1 0 88 0 105 + 0 7 0 106 2 107 0 10 7 108 1 107 109 + 0 110 2 6 7 0 10 111 3 107 7 0 109 7 + 112 0 7 0 117 0 0 0 118 1 7 119 0 120 + 0 75 0 121 1 0 119 0 122 1 6 7 0 123 + 2 0 0 0 12 124 2 6 0 0 0 125 2 6 119 + 0 0 126 2 6 8 0 0 127 2 0 128 0 0 129 + 0 75 0 130 2 7 0 10 0 131 3 0 0 0 132 + 0 133 2 6 0 7 0 134 3 6 0 0 132 0 135 + 1 6 0 0 138 1 140 6 0 141 2 6 142 0 + 142 143 1 140 6 0 144 2 140 0 0 0 145 + 2 0 142 142 142 146 2 7 0 0 10 147 2 + 6 0 0 0 148 2 6 0 0 0 149 2 0 0 0 0 + 150 2 0 151 0 0 152 2 6 119 0 0 153 2 + 140 0 6 6 154 2 0 155 142 0 156 1 6 8 + 0 157 2 6 151 0 0 158 2 6 119 0 7 159 + 2 0 119 0 0 160 0 140 0 161 1 140 0 6 + 162 1 8 0 0 163 2 140 0 0 109 164 2 + 140 0 0 0 165 2 140 0 0 0 166 2 140 0 + 0 10 167 2 0 142 0 142 168 2 0 10 0 0 + 169 1 170 98 6 171 1 0 88 0 172 1 170 + 6 6 173 1 0 0 0 174 1 75 8 0 175 1 75 + 0 0 176 1 75 6 0 177 1 75 0 0 178 2 + 75 0 0 0 179 2 75 0 6 0 180 2 0 80 80 + 80 181 1 182 82 75 183 1 0 84 80 184 + 2 7 0 0 0 185 2 0 7 142 7 186 1 0 10 + 0 187 1 7 0 0 188 2 7 0 0 0 189 2 0 + 67 0 0 190 1 191 0 109 192 1 191 0 0 + 193 2 6 0 191 0 194 1 0 0 0 195 2 0 + 107 0 10 113 1 0 14 0 15 1 0 0 51 66 + 2 0 10 0 14 18 1 0 84 80 184 1 0 0 0 + 174 1 0 88 0 172 2 0 78 79 80 81 2 0 + 0 0 10 70 2 0 0 0 10 72 2 0 128 0 0 + 129 1 0 115 0 116 1 0 7 0 114 2 0 0 0 + 0 150 2 0 151 0 0 152 2 0 10 0 0 169 + 1 0 119 0 122 3 0 0 0 12 10 46 2 0 19 + 0 14 42 2 0 10 0 12 41 1 0 51 0 58 1 + 0 34 0 39 2 0 67 0 10 69 1 0 0 0 195 + 0 0 0 118 2 0 80 80 80 181 1 0 84 80 + 87 1 0 84 80 85 1 0 88 0 105 3 0 0 0 + 12 0 25 3 0 0 0 14 22 23 3 0 0 0 14 + 27 28 3 0 0 0 12 7 31 2 0 0 0 37 38 1 + 0 10 0 187 2 0 142 0 142 168 2 0 7 + 142 7 186 2 0 142 142 142 146 2 0 67 + 0 0 190 3 0 0 0 132 0 133 2 0 0 0 132 + 136 1 0 0 0 137 2 0 0 0 12 139 2 0 10 + 0 12 16 2 0 19 0 14 20 2 0 0 0 12 124 + 2 0 119 0 0 160 2 0 155 142 0 156 1 0 + 0 12 50))))) + '|lookupComplete|)) @ \section{package UPOLYC2 UnivariatePolynomialCategoryFunctions2} <<package UPOLYC2 UnivariatePolynomialCategoryFunctions2>>= |