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(/VERSIONCHECK 2)
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
|UFD-;squareFreePart;2S;1|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Boolean|)
|UFD-;prime?;SB;2|))
(DEFUN |UFD-;squareFreePart;2S;1| (|x| $)
(PROG (|s| |f| #0=#:G1419 #1=#:G1406 #2=#:G1404 #3=#:G1405)
(RETURN
(SEQ (SPADCALL
(SPADCALL
(LETT |s| (SPADCALL |x| (|getShellEntry| $ 8))
|UFD-;squareFreePart;2S;1|)
(|getShellEntry| $ 10))
(PROGN
(LETT #3# NIL |UFD-;squareFreePart;2S;1|)
(SEQ (LETT |f| NIL |UFD-;squareFreePart;2S;1|)
(LETT #0# (SPADCALL |s| (|getShellEntry| $ 14))
|UFD-;squareFreePart;2S;1|)
G190
(COND
((OR (ATOM #0#)
(PROGN
(LETT |f| (CAR #0#)
|UFD-;squareFreePart;2S;1|)
NIL))
(GO G191)))
(SEQ (EXIT (PROGN
(LETT #1# (QCAR |f|)
|UFD-;squareFreePart;2S;1|)
(COND
(#3#
(LETT #2#
(SPADCALL #2# #1#
(|getShellEntry| $ 15))
|UFD-;squareFreePart;2S;1|))
('T
(PROGN
(LETT #2# #1#
|UFD-;squareFreePart;2S;1|)
(LETT #3# 'T
|UFD-;squareFreePart;2S;1|)))))))
(LETT #0# (CDR #0#) |UFD-;squareFreePart;2S;1|)
(GO G190) G191 (EXIT NIL))
(COND (#3# #2#) ('T (|spadConstant| $ 16))))
(|getShellEntry| $ 15))))))
(DEFUN |UFD-;prime?;SB;2| (|x| $)
(EQL (LENGTH (SPADCALL (SPADCALL |x| (|getShellEntry| $ 18))
(|getShellEntry| $ 22)))
1))
(DEFUN |UniqueFactorizationDomain&| (|#1|)
(PROG (|dv$1| |dv$| $ |pv$|)
(RETURN
(PROGN
(LETT |dv$1| (|devaluate| |#1|)
. #0=(|UniqueFactorizationDomain&|))
(LETT |dv$| (LIST '|UniqueFactorizationDomain&| |dv$1|) . #0#)
(LETT $ (|newShell| 25) . #0#)
(|setShellEntry| $ 0 |dv$|)
(|setShellEntry| $ 3
(LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#))
(|stuffDomainSlots| $)
(|setShellEntry| $ 6 |#1|)
$))))
(MAKEPROP '|UniqueFactorizationDomain&| '|infovec|
(LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|Factored| $)
(0 . |squareFree|) (|Factored| 6) (5 . |unit|) (|Integer|)
(|Record| (|:| |factor| 6) (|:| |exponent| 11))
(|List| 12) (10 . |factors|) (15 . *) (21 . |One|)
|UFD-;squareFreePart;2S;1| (25 . |factor|)
(|Union| '"nil" '"sqfr" '"irred" '"prime")
(|Record| (|:| |flg| 19) (|:| |fctr| 6) (|:| |xpnt| 11))
(|List| 20) (30 . |factorList|) (|Boolean|)
|UFD-;prime?;SB;2|)
'#(|squareFreePart| 35 |prime?| 40) 'NIL
(CONS (|makeByteWordVec2| 1 'NIL)
(CONS '#()
(CONS '#()
(|makeByteWordVec2| 24
'(1 6 7 0 8 1 9 6 0 10 1 9 13 0 14 2 6
0 0 0 15 0 6 0 16 1 6 7 0 18 1 9 21 0
22 1 0 0 0 17 1 0 23 0 24)))))
'|lookupComplete|))
(SETQ |$CategoryFrame|
(|put| '|UniqueFactorizationDomain&| '|isFunctor|
'(((|squareFreePart| ($ $)) T (ELT $ 17))
((|prime?| ((|Boolean|) $)) T (ELT $ 24)))
(|addModemap| '|UniqueFactorizationDomain&|
'(|UniqueFactorizationDomain&| |#1|)
'((CATEGORY |domain|
(SIGNATURE |squareFreePart| (|#1| |#1|))
(SIGNATURE |prime?| ((|Boolean|) |#1|)))
(|UniqueFactorizationDomain|))
T '|UniqueFactorizationDomain&|
(|put| '|UniqueFactorizationDomain&| '|mode|
'(|Mapping|
(CATEGORY |domain|
(SIGNATURE |squareFreePart|
(|#1| |#1|))
(SIGNATURE |prime?|
((|Boolean|) |#1|)))
(|UniqueFactorizationDomain|))
|$CategoryFrame|))))
|