
(/VERSIONCHECK 2) 

(DEFPARAMETER |UnivariatePolynomialCategory;CAT| 'NIL) 

(DEFPARAMETER |UnivariatePolynomialCategory;AL| 'NIL) 

(DEFUN |UnivariatePolynomialCategory| (#1=#:G12152)
  (LET (#2=#:G12153)
    (COND
     ((SETQ #2#
              (|assoc| #3=(|devaluate| #1#) |UnivariatePolynomialCategory;AL|))
      (CDR #2#))
     (T
      (SETQ |UnivariatePolynomialCategory;AL|
              (|cons5|
               (CONS #3# (SETQ #2# (|UnivariatePolynomialCategory;| #1#)))
               |UnivariatePolynomialCategory;AL|))
      #2#)))) 

(DEFUN |UnivariatePolynomialCategory;| (|t#1|)
  (PROG (#1=#:G12151)
    (RETURN
     (PROG1
         (LETT #1#
               (|sublisV| (PAIR '(|t#1|) (LIST (|devaluate| |t#1|)))
                          (|sublisV|
                           (PAIR '(#2=#:G12149 #3=#:G12150)
                                 (LIST '(|NonNegativeInteger|)
                                       '(|SingletonAsOrderedSet|)))
                           (COND (|UnivariatePolynomialCategory;CAT|)
                                 ('T
                                  (LETT |UnivariatePolynomialCategory;CAT|
                                        (|Join|
                                         (|PolynomialCategory| '|t#1| '#2#
                                                               '#3#)
                                         (|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))
                                        . #4=(|UnivariatePolynomialCategory|))))))
               . #4#)
       (SETELT #1# 0
               (LIST '|UnivariatePolynomialCategory| (|devaluate| |t#1|))))))) 
