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|)
  (LET ((#0=#:G1416
            (|sublisV|
                (PAIR '(|t#1| |t#2| |t#3|)
                      (LIST (|devaluate| |t#1|) (|devaluate| |t#2|)
                            (|devaluate| |t#3|)))
                (COND
                  (|PolynomialCategory;CAT|)
                  (T (SETQ |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))))))))
    (|setShellEntry| #0# 0
        (LIST '|PolynomialCategory| (|devaluate| |t#1|)
              (|devaluate| |t#2|) (|devaluate| |t#3|)))
    #0#)) 

(DEFUN |PolynomialCategory| (&REST #0=#:G1419 &AUX #1=#:G1417)
  (DSETQ #1# #0#)
  (LET ((#2=#:G1418
            (|assoc| (|devaluateList| #1#) |PolynomialCategory;AL|)))
    (COND
      (#2# (CDR #2#))
      (T (PROGN
           (SETQ #2# (APPLY #'|PolynomialCategory;| #1#))
           (SETQ |PolynomialCategory;AL|
                 (|cons5| (CONS (|devaluateList| #1#) #2#)
                          |PolynomialCategory;AL|))
           #2#)))))