
(/VERSIONCHECK 2) 

(DEFUN |HACKPI;pi;$;1| ($)
  (SPADCALL (SPADCALL 1 1 (QREFELT $ 13)) (QREFELT $ 14))) 

(PUT '|HACKPI;convert;$F;2| '|SPADreplace| '(XLAM (|x|) |x|)) 

(DEFUN |HACKPI;convert;$F;2| (|x| $) |x|) 

(DEFUN |HACKPI;convert;$F;3| (|x| $) (SPADCALL |x| (QREFELT $ 18))) 

(DEFUN |HACKPI;convert;$Df;4| (|x| $) (SPADCALL |x| (QREFELT $ 21))) 

(DEFUN |HACKPI;coerce;$Df;5| (|x| $)
  (DIV-DF (|HACKPI;p2sf| (SPADCALL |x| (QREFELT $ 23)) $)
          (|HACKPI;p2sf| (SPADCALL |x| (QREFELT $ 24)) $))) 

(DEFUN |HACKPI;coerce;$F;6| (|x| $)
  (SPADCALL (|HACKPI;p2f| (SPADCALL |x| (QREFELT $ 23)) $)
            (|HACKPI;p2f| (SPADCALL |x| (QREFELT $ 24)) $) (QREFELT $ 25))) 

(DEFUN |HACKPI;p2o| (|p| $)
  (SPADCALL |p| (SPADCALL (QREFELT $ 7) (QREFELT $ 28)) (QREFELT $ 29))) 

(DEFUN |HACKPI;p2i| (|p| $) (SPADCALL (|HACKPI;p2p| |p| $) (QREFELT $ 32))) 

(DEFUN |HACKPI;p2p| (|p| $)
  (PROG (|ans|)
    (RETURN
     (SEQ (LETT |ans| (|spadConstant| $ 33) . #1=(|HACKPI;p2p|))
          (SEQ G190
               (COND
                ((NULL
                  (COND
                   ((SPADCALL |p| (|spadConstant| $ 36) (QREFELT $ 38)) 'NIL)
                   ('T 'T)))
                 (GO G191)))
               (SEQ
                (LETT |ans|
                      (SPADCALL |ans|
                                (SPADCALL
                                 (SPADCALL (SPADCALL |p| (QREFELT $ 39))
                                           (QREFELT $ 40))
                                 (QREFELT $ 7) (SPADCALL |p| (QREFELT $ 41))
                                 (QREFELT $ 42))
                                (QREFELT $ 43))
                      . #1#)
                (EXIT (LETT |p| (SPADCALL |p| (QREFELT $ 44)) . #1#)))
               NIL (GO G190) G191 (EXIT NIL))
          (EXIT |ans|))))) 

(DEFUN |HACKPI;coerce;$Of;10| (|x| $)
  (PROG (|r|)
    (RETURN
     (SEQ (LETT |r| (SPADCALL |x| (QREFELT $ 46)) |HACKPI;coerce;$Of;10|)
          (EXIT
           (COND ((QEQCAR |r| 0) (|HACKPI;p2o| (QCDR |r|) $))
                 ('T
                  (SPADCALL (|HACKPI;p2o| (SPADCALL |x| (QREFELT $ 23)) $)
                            (|HACKPI;p2o| (SPADCALL |x| (QREFELT $ 24)) $)
                            (QREFELT $ 47))))))))) 

(DEFUN |HACKPI;convert;$If;11| (|x| $)
  (PROG (|r|)
    (RETURN
     (SEQ (LETT |r| (SPADCALL |x| (QREFELT $ 46)) |HACKPI;convert;$If;11|)
          (EXIT
           (COND ((QEQCAR |r| 0) (|HACKPI;p2i| (QCDR |r|) $))
                 ('T
                  (SPADCALL (|HACKPI;p2i| (SPADCALL |x| (QREFELT $ 23)) $)
                            (|HACKPI;p2i| (SPADCALL |x| (QREFELT $ 24)) $)
                            (QREFELT $ 49))))))))) 

(DEFUN |HACKPI;p2sf| (|p| $)
  (SPADCALL (SPADCALL (ELT $ 51) |p| (QREFELT $ 55))
            (FLOAT PI MOST-POSITIVE-DOUBLE-FLOAT) (QREFELT $ 56))) 

(DEFUN |HACKPI;p2f| (|p| $)
  (SPADCALL (SPADCALL (ELT $ 57) |p| (QREFELT $ 61)) (SPADCALL (QREFELT $ 62))
            (QREFELT $ 63))) 

(DEFUN |Pi| #1=()
  (PROG #1#
    (RETURN
     (PROG (#2=#:G1864)
       (RETURN
        (COND
         ((LETT #2# (HGET |$ConstructorCache| '|Pi|) . #3=(|Pi|))
          (|CDRwithIncrement| (CDAR #2#)))
         ('T
          (UNWIND-PROTECT
              (PROG1
                  (CDDAR
                   (HPUT |$ConstructorCache| '|Pi|
                         (LIST (CONS NIL (CONS 1 (|Pi;|))))))
                (LETT #2# T . #3#))
            (COND ((NOT #2#) (HREM |$ConstructorCache| '|Pi|))))))))))) 

(DEFUN |Pi;| ()
  (PROG (|dv$| $ |pv$|)
    (RETURN
     (PROGN
      (LETT |dv$| '(|Pi|) . #1=(|Pi|))
      (LETT $ (GETREFV 81) . #1#)
      (QSETREFV $ 0 |dv$|)
      (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#))
      (|haddProp| |$ConstructorCache| '|Pi| NIL (CONS 1 $))
      (|stuffDomainSlots| $)
      (QSETREFV $ 6 (|Fraction| (|SparseUnivariatePolynomial| (|Integer|))))
      (QSETREFV $ 7 '|%pi|)
      $)))) 

(MAKEPROP '|Pi| '|infovec|
          (LIST
           '#(NIL NIL NIL NIL NIL (|Fraction| 12) '|Rep| '|sympi| (0 . |One|)
              (4 . |One|) (|Integer|) (|NonNegativeInteger|)
              (|SparseUnivariatePolynomial| 10) (8 . |monomial|)
              (14 . |coerce|) |HACKPI;pi;$;1| |HACKPI;convert;$F;2| (|Float|)
              |HACKPI;coerce;$F;6| |HACKPI;convert;$F;3| (|DoubleFloat|)
              |HACKPI;coerce;$Df;5| |HACKPI;convert;$Df;4| (19 . |numer|)
              (24 . |denom|) (29 . /) (|OutputForm|) (|Symbol|) (35 . |coerce|)
              (40 . |outputForm|) (|InputForm|) (|Polynomial| 10)
              (46 . |convert|) (51 . |Zero|) (55 . |Zero|) (59 . |Zero|)
              (63 . |Zero|) (|Boolean|) (67 . =) (73 . |leadingCoefficient|)
              (78 . |coerce|) (83 . |degree|) (88 . |monomial|) (95 . +)
              (101 . |reductum|) (|Union| 12 '"failed") (106 . |retractIfCan|)
              (111 . /) |HACKPI;coerce;$Of;10| (117 . /)
              |HACKPI;convert;$If;11| (123 . |coerce|)
              (|SparseUnivariatePolynomial| 20) (|Mapping| 20 10)
              (|SparseUnivariatePolynomialFunctions2| 10 20) (128 . |map|)
              (134 . |elt|) (140 . |coerce|) (|SparseUnivariatePolynomial| 17)
              (|Mapping| 17 10) (|SparseUnivariatePolynomialFunctions2| 10 17)
              (145 . |map|) (151 . |pi|) (155 . |elt|) (|Fraction| 10)
              (|Union| 64 '#1="failed") (|Union| 10 '#1#) (|Factored| $)
              (|Union| 69 '#2="failed") (|List| $)
              (|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $))
              (|Record| (|:| |coef1| $) (|:| |coef2| $)) (|Union| 71 '#2#)
              (|Record| (|:| |quotient| $) (|:| |remainder| $))
              (|SparseUnivariatePolynomial| $)
              (|Record| (|:| |coef| 69) (|:| |generator| $))
              (|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $))
              (|Union| $ '"failed") (|PositiveInteger|) (|SingleInteger|)
              (|String|))
           '#(~= 161 |zero?| 167 |unitNormal| 172 |unitCanonical| 177 |unit?|
              182 |subtractIfCan| 187 |squareFreePart| 193 |squareFree| 198
              |sizeLess?| 203 |sample| 209 |retractIfCan| 213 |retract| 223
              |rem| 233 |recip| 239 |quo| 244 |principalIdeal| 250 |prime?| 255
              |pi| 260 |one?| 264 |multiEuclidean| 269 |lcm| 275 |latex| 286
              |inv| 291 |hash| 296 |gcdPolynomial| 301 |gcd| 307 |factor| 318
              |extendedEuclidean| 323 |exquo| 336 |expressIdealMember| 342
              |euclideanSize| 348 |divide| 353 |convert| 359 |coerce| 379
              |characteristic| 409 |associates?| 413 ^ 419 |Zero| 437 |One| 441
              = 445 / 451 - 457 + 468 * 474)
           'NIL
           (CONS
            (|makeByteWordVec2| 1
                                '(0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
                                  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
                                  0))
            (CONS
             '#(|Field&| |EuclideanDomain&| NIL |UniqueFactorizationDomain&|
                |GcdDomain&| |DivisionRing&| |IntegralDomain&| |Algebra&|
                |Algebra&| NIL |Module&| NIL NIL |Module&| NIL NIL |Ring&| NIL
                NIL NIL NIL NIL |AbelianGroup&| NIL NIL |AbelianMonoid&|
                |Monoid&| NIL |SemiGroup&| |AbelianSemiGroup&| NIL
                |SetCategory&| NIL NIL NIL NIL NIL NIL |RetractableTo&|
                |RetractableTo&| NIL NIL NIL NIL NIL |BasicType&| NIL)
             (CONS
              '#((|Field|) (|EuclideanDomain|) (|PrincipalIdealDomain|)
                 (|UniqueFactorizationDomain|) (|GcdDomain|) (|DivisionRing|)
                 (|IntegralDomain|) (|Algebra| 64) (|Algebra| $$)
                 (|CharacteristicZero|) (|Module| 64) (|EntireRing|)
                 (|CommutativeRing|) (|Module| $$) (|BiModule| 64 64)
                 (|BiModule| $$ $$) (|Ring|) (|RightModule| 64)
                 (|LeftModule| 64) (|LeftModule| $$) (|Rng|) (|RightModule| $$)
                 (|AbelianGroup|) (|CancellationAbelianMonoid|) (|SemiRing|)
                 (|AbelianMonoid|) (|Monoid|) (|SemiRng|) (|SemiGroup|)
                 (|AbelianSemiGroup|) (|RealConstant|) (|SetCategory|)
                 (|ConvertibleTo| 30) (|ConvertibleTo| 5) (|CoercibleTo| 17)
                 (|CoercibleTo| 20) (|ConvertibleTo| 17) (|ConvertibleTo| 20)
                 (|RetractableTo| 64) (|RetractableTo| 10) (|canonicalsClosed|)
                 (|canonicalUnitNormal|) (|noZeroDivisors|) (|CommutativeStar|)
                 (|unitsKnown|) (|BasicType|) (|CoercibleTo| 26))
              (|makeByteWordVec2| 80
                                  '(0 0 0 8 0 6 0 9 2 12 0 10 11 13 1 5 0 12 14
                                    1 6 12 0 23 1 6 12 0 24 2 17 0 0 0 25 1 27
                                    26 0 28 2 12 26 0 26 29 1 31 30 0 32 0 31 0
                                    33 0 0 0 34 0 6 0 35 0 12 0 36 2 12 37 0 0
                                    38 1 12 10 0 39 1 31 0 10 40 1 12 11 0 41 3
                                    31 0 0 27 11 42 2 31 0 0 0 43 1 12 0 0 44 1
                                    6 45 0 46 2 26 0 0 0 47 2 30 0 0 0 49 1 20
                                    0 10 51 2 54 52 53 12 55 2 52 20 0 20 56 1
                                    17 0 10 57 2 60 58 59 12 61 0 17 0 62 2 58
                                    17 0 17 63 2 0 37 0 0 1 1 0 37 0 1 1 0 76 0
                                    1 1 0 0 0 1 1 0 37 0 1 2 0 77 0 0 1 1 0 0 0
                                    1 1 0 67 0 1 2 0 37 0 0 1 0 0 0 1 1 0 65 0
                                    1 1 0 66 0 1 1 0 64 0 1 1 0 10 0 1 2 0 0 0
                                    0 1 1 0 77 0 1 2 0 0 0 0 1 1 0 75 69 1 1 0
                                    37 0 1 0 0 0 15 1 0 37 0 1 2 0 68 69 0 1 2
                                    0 0 0 0 1 1 0 0 69 1 1 0 80 0 1 1 0 0 0 1 1
                                    0 79 0 1 2 0 74 74 74 1 2 0 0 0 0 1 1 0 0
                                    69 1 1 0 67 0 1 2 0 70 0 0 1 3 0 72 0 0 0 1
                                    2 0 77 0 0 1 2 0 68 69 0 1 1 0 11 0 1 2 0
                                    73 0 0 1 1 0 30 0 50 1 0 5 0 16 1 0 20 0 22
                                    1 0 17 0 19 1 0 17 0 18 1 0 20 0 21 1 0 0
                                    64 1 1 0 0 0 1 1 0 0 10 1 1 0 26 0 48 0 0
                                    11 1 2 0 37 0 0 1 2 0 0 0 10 1 2 0 0 0 11 1
                                    2 0 0 0 78 1 0 0 0 34 0 0 0 8 2 0 37 0 0 1
                                    2 0 0 0 0 1 2 0 0 0 0 1 1 0 0 0 1 2 0 0 0 0
                                    1 2 0 0 64 0 1 2 0 0 0 64 1 2 0 0 0 0 1 2 0
                                    0 10 0 1 2 0 0 11 0 1 2 0 0 78 0 1)))))
           '|lookupComplete|)) 

(MAKEPROP '|Pi| 'NILADIC T) 
