
(SDEFUN |PADEPAC;pade;2Nni2UtsU;1|
        ((|n| (|NonNegativeInteger|)) (|m| (|NonNegativeInteger|))
         (|u| (|UnivariateTaylorSeries| R |x| |pt|))
         (|v| (|UnivariateTaylorSeries| R |x| |pt|))
         (% (|Union| (|Fraction| (|UnivariatePolynomial| |x| R)) "failed")))
        (SPROG
         ((|den| (|UnivariatePolynomial| |x| R))
          (|num| (|UnivariatePolynomial| |x| R))
          (|xpt| (|UnivariatePolynomial| |x| R))
          (|ans|
           (|Union| (|Fraction| (|UnivariatePolynomial| |x| R)) "failed")))
         (SEQ (LETT |ans| (SPADCALL |n| |m| |u| |v| (QREFELT % 13)))
              (EXIT
               (COND
                ((OR (QEQCAR |ans| 1)
                     (SPADCALL (QREFELT % 8) (|spadConstant| % 14)
                               (QREFELT % 16)))
                 |ans|)
                ('T
                 (SEQ (LETT |num| (SPADCALL (QCDR |ans|) (QREFELT % 19)))
                      (LETT |den| (SPADCALL (QCDR |ans|) (QREFELT % 20)))
                      (LETT |xpt|
                            (SPADCALL
                             (SPADCALL (|spadConstant| % 21) 1 (QREFELT % 22))
                             (SPADCALL (QREFELT % 8) 0 (QREFELT % 22))
                             (QREFELT % 23)))
                      (LETT |num| (SPADCALL |num| |xpt| (QREFELT % 24)))
                      (LETT |den| (SPADCALL |den| |xpt| (QREFELT % 24)))
                      (EXIT
                       (CONS 0 (SPADCALL |num| |den| (QREFELT % 25))))))))))) 

(SDEFUN |PADEPAC;pade;2NniUtsU;2|
        ((|n| (|NonNegativeInteger|)) (|m| (|NonNegativeInteger|))
         (|u| (|UnivariateTaylorSeries| R |x| |pt|))
         (% (|Union| (|Fraction| (|UnivariatePolynomial| |x| R)) "failed")))
        (SPADCALL |n| |m| |u| (|spadConstant| % 27) (QREFELT % 26))) 

(DECLAIM (NOTINLINE |PadeApproximantPackage;|)) 

(DEFUN |PadeApproximantPackage| (&REST #1=#:G26)
  (SPROG NIL
         (PROG (#2=#:G27)
           (RETURN
            (COND
             ((LETT #2#
                    (|lassocShiftWithFunction|
                     (|devaluate_sig| #1# '(T NIL NIL))
                     (HGET |$ConstructorCache| '|PadeApproximantPackage|)
                     '|domainEqualList|))
              (|CDRwithIncrement| #2#))
             ('T
              (UNWIND-PROTECT
                  (PROG1 (APPLY (|function| |PadeApproximantPackage;|) #1#)
                    (LETT #2# T))
                (COND
                 ((NOT #2#)
                  (HREM |$ConstructorCache| '|PadeApproximantPackage|)))))))))) 

(DEFUN |PadeApproximantPackage;| (|#1| |#2| |#3|)
  (SPROG ((|pv$| NIL) (% NIL) (|dv$| NIL) (DV$3 NIL) (DV$2 NIL) (DV$1 NIL))
         (PROGN
          (LETT DV$1 (|devaluate| |#1|))
          (LETT DV$2 |#2|)
          (LETT DV$3 |#3|)
          (LETT |dv$| (LIST '|PadeApproximantPackage| DV$1 DV$2 DV$3))
          (LETT % (GETREFV 29))
          (QSETREFV % 0 |dv$|)
          (QSETREFV % 3 (LETT |pv$| (|buildPredVector| 0 0 NIL)))
          (|haddProp| |$ConstructorCache| '|PadeApproximantPackage|
                      (LIST DV$1 DV$2 DV$3) (CONS 1 %))
          (|stuffDomainSlots| %)
          (QSETREFV % 6 |#1|)
          (QSETREFV % 7 |#2|)
          (QSETREFV % 8 |#3|)
          (SETF |pv$| (QREFELT % 3))
          (QSETREFV % 9
                    (|PadeApproximants| |#1|
                                        (|UnivariateTaylorSeries| |#1| |#2|
                                                                  |#3|)
                                        (|UnivariatePolynomial| |#2| |#1|)))
          %))) 

(MAKEPROP '|PadeApproximantPackage| '|infovec|
          (LIST
           '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|)
              (|local| |#3|) '|pa| (|Union| 18 '"failed")
              (|NonNegativeInteger|)
              (|UnivariateTaylorSeries| 6 (NRTEVAL (QREFELT % 7))
                                        (NRTEVAL (QREFELT % 8)))
              (0 . |pade|) (8 . |Zero|) (|Boolean|) (12 . =)
              (|UnivariatePolynomial| (NRTEVAL (QREFELT % 7)) 6)
              (|Fraction| 17) (18 . |numer|) (23 . |denom|) (28 . |One|)
              (32 . |monomial|) (38 . -) (44 . |elt|) (50 . /)
              |PADEPAC;pade;2Nni2UtsU;1| (56 . |One|)
              |PADEPAC;pade;2NniUtsU;2|)
           '#(|pade| 60) 'NIL
           (CONS (|makeByteWordVec2| 1 '(0))
                 (CONS '#(NIL)
                       (CONS
                        '#((|Join|
                            (|mkCategory|
                             (LIST
                              '((|pade|
                                 ((|Union|
                                   (|Fraction|
                                    (|UnivariatePolynomial| |#2| |#1|))
                                   "failed")
                                  (|NonNegativeInteger|) (|NonNegativeInteger|)
                                  (|UnivariateTaylorSeries| |#1| |#2| |#3|)
                                  (|UnivariateTaylorSeries| |#1| |#2| |#3|)))
                                T)
                              '((|pade|
                                 ((|Union|
                                   (|Fraction|
                                    (|UnivariatePolynomial| |#2| |#1|))
                                   "failed")
                                  (|NonNegativeInteger|) (|NonNegativeInteger|)
                                  (|UnivariateTaylorSeries| |#1| |#2| |#3|)))
                                T))
                             (LIST) NIL NIL)))
                        (|makeByteWordVec2| 28
                                            '(4 9 10 11 11 12 12 13 0 6 0 14 2
                                              6 15 0 0 16 1 18 17 0 19 1 18 17
                                              0 20 0 6 0 21 2 17 0 6 11 22 2 17
                                              0 0 0 23 2 17 0 0 0 24 2 18 0 17
                                              17 25 0 12 0 27 4 0 10 11 11 12
                                              12 26 3 0 10 11 11 12 28)))))
           '|lookupComplete|)) 
