
(SDEFUN |DIFEXT-;differentiate;SMNniS;1|
        ((|x| (S)) (|derivation| (|Mapping| R R)) (|n| (|NonNegativeInteger|))
         (% (S)))
        (SPROG ((#1=#:G12 NIL) (|i| NIL))
               (SEQ
                (SEQ (LETT |i| 1) (LETT #1# |n|) G190
                     (COND ((|greater_SI| |i| #1#) (GO G191)))
                     (SEQ
                      (EXIT
                       (LETT |x| (SPADCALL |x| |derivation| (QREFELT % 9)))))
                     (LETT |i| (|inc_SI| |i|)) (GO G190) G191 (EXIT NIL))
                (EXIT |x|)))) 

(SDEFUN |DIFEXT-;D;SMS;2| ((|x| (S)) (|derivation| (|Mapping| R R)) (% (S)))
        (SPADCALL |x| |derivation| (QREFELT % 9))) 

(SDEFUN |DIFEXT-;D;SMNniS;3|
        ((|x| (S)) (|derivation| (|Mapping| R R)) (|n| (|NonNegativeInteger|))
         (% (S)))
        (SPADCALL |x| |derivation| |n| (QREFELT % 13))) 

(SDEFUN |DIFEXT-;differentiate;2S;4| ((|x| (S)) (% (S)))
        (SPADCALL |x| (ELT % 15) (QREFELT % 9))) 

(SDEFUN |DIFEXT-;differentiate;SSS;5| ((|x| (S)) (|v| (|Symbol|)) (% (S)))
        (SPROG NIL
               (SPADCALL |x|
                         (CONS #'|DIFEXT-;differentiate;SSS;5!0|
                               (VECTOR % |v|))
                         (QREFELT % 9)))) 

(SDEFUN |DIFEXT-;differentiate;SSS;5!0| ((|s| NIL) ($$ NIL))
        (PROG (|v| %)
          (LETT |v| (QREFELT $$ 1))
          (LETT % (QREFELT $$ 0))
          (RETURN (PROGN (SPADCALL |s| |v| (QREFELT % 18)))))) 

(DECLAIM (NOTINLINE |DifferentialExtension&;|)) 

(DEFUN |DifferentialExtension&| (|#1| |#2|)
  (SPROG ((|pv$| NIL) (% NIL) (|dv$| NIL) (DV$2 NIL) (DV$1 NIL))
         (PROGN
          (LETT DV$1 (|devaluate| |#1|))
          (LETT DV$2 (|devaluate| |#2|))
          (LETT |dv$| (LIST '|DifferentialExtension&| DV$1 DV$2))
          (LETT % (GETREFV 22))
          (QSETREFV % 0 |dv$|)
          (QSETREFV % 3
                    (LETT |pv$|
                          (|buildPredVector| 0 0
                                             (LIST
                                              (|HasCategory| |#2|
                                                             '(|PartialDifferentialRing|
                                                               (|Symbol|)))
                                              (|HasCategory| |#2|
                                                             '(|DifferentialRing|))))))
          (|stuffDomainSlots| %)
          (QSETREFV % 6 |#1|)
          (QSETREFV % 7 |#2|)
          (SETF |pv$| (QREFELT % 3))
          (COND
           ((|testBitVector| |pv$| 2)
            (QSETREFV % 16
                      (CONS (|dispatchFunction| |DIFEXT-;differentiate;2S;4|)
                            %))))
          (COND
           ((|testBitVector| |pv$| 1)
            (QSETREFV % 19
                      (CONS (|dispatchFunction| |DIFEXT-;differentiate;SSS;5|)
                            %))))
          %))) 

(MAKEPROP '|DifferentialExtension&| '|infovec|
          (LIST
           '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|)
              (|Mapping| 7 7) (0 . |differentiate|) (|NonNegativeInteger|)
              |DIFEXT-;differentiate;SMNniS;1| |DIFEXT-;D;SMS;2|
              (6 . |differentiate|) |DIFEXT-;D;SMNniS;3| (13 . |differentiate|)
              (18 . |differentiate|) (|Symbol|) (23 . |differentiate|)
              (29 . |differentiate|) (|List| 17) (|List| 10))
           '#(|differentiate| 35 D 53) 'NIL
           (CONS (|makeByteWordVec2| 1 '(0))
                 (CONS '#(NIL)
                       (CONS
                        '#((|Join|
                            (|mkCategory|
                             (LIST '((|differentiate| (|#1| |#1|)) T)
                                   '((D (|#1| |#1|)) T)
                                   '((|differentiate|
                                      (|#1| |#1| (|NonNegativeInteger|)))
                                     T)
                                   '((D (|#1| |#1| (|NonNegativeInteger|))) T)
                                   '((|differentiate| (|#1| |#1| (|Symbol|)))
                                     T)
                                   '((|differentiate|
                                      (|#1| |#1| (|List| (|Symbol|))))
                                     T)
                                   '((|differentiate|
                                      (|#1| |#1| (|Symbol|)
                                       (|NonNegativeInteger|)))
                                     T)
                                   '((|differentiate|
                                      (|#1| |#1| (|List| (|Symbol|))
                                       (|List| (|NonNegativeInteger|))))
                                     T)
                                   '((D (|#1| |#1| (|Symbol|))) T)
                                   '((D (|#1| |#1| (|List| (|Symbol|)))) T)
                                   '((D
                                      (|#1| |#1| (|Symbol|)
                                       (|NonNegativeInteger|)))
                                     T)
                                   '((D
                                      (|#1| |#1| (|List| (|Symbol|))
                                       (|List| (|NonNegativeInteger|))))
                                     T)
                                   '((D
                                      (|#1| |#1| (|Mapping| |#2| |#2|)
                                       (|NonNegativeInteger|)))
                                     T)
                                   '((D (|#1| |#1| (|Mapping| |#2| |#2|))) T)
                                   '((|differentiate|
                                      (|#1| |#1| (|Mapping| |#2| |#2|)
                                       (|NonNegativeInteger|)))
                                     T)
                                   '((|differentiate|
                                      (|#1| |#1| (|Mapping| |#2| |#2|)))
                                     T))
                             (LIST) NIL NIL)))
                        (|makeByteWordVec2| 19
                                            '(2 6 0 0 8 9 3 6 0 0 8 10 13 1 7 0
                                              0 15 1 0 0 0 16 2 7 0 0 17 18 2 0
                                              0 0 17 19 3 0 0 0 8 10 11 2 0 0 0
                                              17 19 1 0 0 0 16 3 0 0 0 8 10 14
                                              2 0 0 0 8 12)))))
           '|lookupComplete|)) 
