src/algebra/strap/POLYCAT.lsp


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(/VERSIONCHECK 2) 

(DEFPARAMETER |PolynomialCategory;CAT| 'NIL) 

(DEFPARAMETER |PolynomialCategory;AL| 'NIL) 

(DEFUN |PolynomialCategory;| (|t#1| |t#2| |t#3|)
  (PROG (#0=#:G1417)
    (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|))))
                                         '(((|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#)
        (|setShellEntry| #0# 0
            (LIST '|PolynomialCategory| (|devaluate| |t#1|)
                  (|devaluate| |t#2|) (|devaluate| |t#3|))))))) 

(DEFUN |PolynomialCategory| (&REST #0=#:G1420 &AUX #1=#:G1418)
  (DSETQ #1# #0#)
  (LET (#2=#:G1419)
    (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#))))