src/algebra/strap/MTSCAT.lsp


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(/VERSIONCHECK 2) 

(DEFPARAMETER |MultivariateTaylorSeriesCategory;CAT| 'NIL) 

(DEFPARAMETER |MultivariateTaylorSeriesCategory;AL| 'NIL) 

(DEFUN |MultivariateTaylorSeriesCategory;| (|t#1| |t#2|)
  (LET ((#0=#:G1399
            (|sublisV|
                (PAIR '(|t#1| |t#2|)
                      (LIST (|devaluate| |t#1|) (|devaluate| |t#2|)))
                (|sublisV|
                    (PAIR '(#1=#:G1398)
                          (LIST '(|IndexedExponents| |t#2|)))
                    (COND
                      (|MultivariateTaylorSeriesCategory;CAT|)
                      ('T
                       (SETQ |MultivariateTaylorSeriesCategory;CAT|
                             (|Join| (|PartialDifferentialRing| '|t#2|)
                                     (|PowerSeriesCategory| '|t#1| '#1#
                                      '|t#2|)
                                     (|InnerEvalable| '|t#2| '$)
                                     (|Evalable| '$)
                                     (|mkCategory| '|domain|
                                      '(((|coefficient|
                                          ($ $ |t#2|
                                           (|NonNegativeInteger|)))
                                         T)
                                        ((|coefficient|
                                          ($ $ (|List| |t#2|)
                                           (|List|
                                            (|NonNegativeInteger|))))
                                         T)
                                        ((|extend|
                                          ($ $ (|NonNegativeInteger|)))
                                         T)
                                        ((|monomial|
                                          ($ $ |t#2|
                                           (|NonNegativeInteger|)))
                                         T)
                                        ((|monomial|
                                          ($ $ (|List| |t#2|)
                                           (|List|
                                            (|NonNegativeInteger|))))
                                         T)
                                        ((|order|
                                          ((|NonNegativeInteger|) $
                                           |t#2|))
                                         T)
                                        ((|order|
                                          ((|NonNegativeInteger|) $
                                           |t#2|
                                           (|NonNegativeInteger|)))
                                         T)
                                        ((|polynomial|
                                          ((|Polynomial| |t#1|) $
                                           (|NonNegativeInteger|)))
                                         T)
                                        ((|polynomial|
                                          ((|Polynomial| |t#1|) $
                                           (|NonNegativeInteger|)
                                           (|NonNegativeInteger|)))
                                         T)
                                        ((|integrate| ($ $ |t#2|))
                                         (|has| |t#1|
                                          (|Algebra|
                                           (|Fraction| (|Integer|))))))
                                      '(((|RadicalCategory|)
                                         (|has| |t#1|
                                          (|Algebra|
                                           (|Fraction| (|Integer|)))))
                                        ((|TranscendentalFunctionCategory|)
                                         (|has| |t#1|
                                          (|Algebra|
                                           (|Fraction| (|Integer|))))))
                                      '((|Polynomial| |t#1|)
                                        (|NonNegativeInteger|)
                                        (|List| |t#2|)
                                        (|List| (|NonNegativeInteger|)))
                                      NIL)))))))))
    (|setShellEntry| #0# 0
        (LIST '|MultivariateTaylorSeriesCategory| (|devaluate| |t#1|)
              (|devaluate| |t#2|)))
    #0#)) 

(DEFUN |MultivariateTaylorSeriesCategory|
       (&REST #0=#:G1402 &AUX #1=#:G1400)
  (DSETQ #1# #0#)
  (LET ((#2=#:G1401
            (|assoc| (|devaluateList| #1#)
                     |MultivariateTaylorSeriesCategory;AL|)))
    (COND
      (#2# (CDR #2#))
      (T (PROGN
           (SETQ #2# (APPLY #'|MultivariateTaylorSeriesCategory;| #1#))
           (SETQ |MultivariateTaylorSeriesCategory;AL|
                 (|cons5| (CONS (|devaluateList| #1#) #2#)
                          |MultivariateTaylorSeriesCategory;AL|))
           #2#)))))