
(DEFPARAMETER |DistributionCategory;CAT| 'NIL) 

(DECLAIM (NOTINLINE |DistributionCategory;|)) 

(DEFPARAMETER |DistributionCategory;AL| 'NIL) 

(DEFUN |DistributionCategory| (|t#1|)
  (LET (#1=#:G1 (#2=#:G2 (|devaluate| |t#1|)))
    (COND ((SETQ #1# (|assoc| #2# |DistributionCategory;AL|)) (CDR #1#))
          (T
           (SETQ |DistributionCategory;AL|
                   (|cons5| (CONS #2# (SETQ #1# (|DistributionCategory;| #2#)))
                            |DistributionCategory;AL|))
           #1#)))) 

(DEFUN |DistributionCategory;| (|t#1|)
  (SPROG ((#1=#:G0 NIL))
         (PROG1
             (LETT #1#
                   (|subst_in_cat| '(|t#1|) (LIST |t#1|)
                                   (COND (|DistributionCategory;CAT|)
                                         ('T
                                          (LETT |DistributionCategory;CAT|
                                                (|Join| (|SetCategory|)
                                                        (|mkCategory|
                                                         '(((|Zero| (%)
                                                                    |constant|)
                                                            T)
                                                           ((|moment|
                                                             (|t#1| %
                                                              (|NonNegativeInteger|)))
                                                            T)
                                                           ((|classicalCumulant|
                                                             (|t#1| %
                                                              (|PositiveInteger|)))
                                                            T)
                                                           ((|freeCumulant|
                                                             (|t#1| %
                                                              (|PositiveInteger|)))
                                                            T)
                                                           ((|booleanCumulant|
                                                             (|t#1| %
                                                              (|PositiveInteger|)))
                                                            T)
                                                           ((|moments|
                                                             ((|Sequence|
                                                               |t#1|)
                                                              %))
                                                            T)
                                                           ((|classicalCumulants|
                                                             ((|Sequence|
                                                               |t#1|)
                                                              %))
                                                            T)
                                                           ((|freeCumulants|
                                                             ((|Sequence|
                                                               |t#1|)
                                                              %))
                                                            T)
                                                           ((|booleanCumulants|
                                                             ((|Sequence|
                                                               |t#1|)
                                                              %))
                                                            T)
                                                           ((|hankelDeterminants|
                                                             ((|Stream| |t#1|)
                                                              %))
                                                            T)
                                                           ((|monotoneCumulants|
                                                             ((|Sequence|
                                                               |t#1|)
                                                              %))
                                                            (|has| |t#1|
                                                                   (|Algebra|
                                                                    (|Fraction|
                                                                     (|Integer|)))))
                                                           ((|jacobiParameters|
                                                             ((|Record|
                                                               (|:| |an|
                                                                    (|Stream|
                                                                     |t#1|))
                                                               (|:| |bn|
                                                                    (|Stream|
                                                                     |t#1|)))
                                                              %))
                                                            (|has| |t#1|
                                                                   (|Field|)))
                                                           ((|orthogonalPolynomials|
                                                             ((|Stream|
                                                               (|SparseUnivariatePolynomial|
                                                                |t#1|))
                                                              %))
                                                            (|has| |t#1|
                                                                   (|Field|)))
                                                           ((|jacobiParameters|
                                                             ((|Record|
                                                               (|:| |an|
                                                                    (|Stream|
                                                                     (|Fraction|
                                                                      |t#1|)))
                                                               (|:| |bn|
                                                                    (|Stream|
                                                                     (|Fraction|
                                                                      |t#1|))))
                                                              %))
                                                            (AND
                                                             (|has| |t#1|
                                                                    (|IntegralDomain|))
                                                             (|not|
                                                              (|has| |t#1|
                                                                     (|Field|)))))
                                                           ((|orthogonalPolynomials|
                                                             ((|Stream|
                                                               (|SparseUnivariatePolynomial|
                                                                (|Fraction|
                                                                 |t#1|)))
                                                              %))
                                                            (AND
                                                             (|has| |t#1|
                                                                    (|IntegralDomain|))
                                                             (|not|
                                                              (|has| |t#1|
                                                                     (|Field|)))))
                                                           ((|classicalConvolution|
                                                             (% % %))
                                                            T)
                                                           ((|freeConvolution|
                                                             (% % %))
                                                            T)
                                                           ((|booleanConvolution|
                                                             (% % %))
                                                            T)
                                                           ((|monotoneConvolution|
                                                             (% % %))
                                                            T)
                                                           ((^
                                                             (% %
                                                              (|PositiveInteger|)))
                                                            T)
                                                           ((|orthogonalConvolution|
                                                             (% % %))
                                                            T)
                                                           ((|subordinationConvolution|
                                                             (% % %))
                                                            T))
                                                         NIL NIL NIL)))))))
           (SETELT #1# 0 (LIST '|DistributionCategory| |t#1|))))) 
