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(/VERSIONCHECK 2)
(DEFUN |DIVRING-;^;SIS;1| (|x| |n| $)
(SPADCALL |x| |n| (|getShellEntry| $ 8)))
(DEFUN |DIVRING-;**;SIS;2| (|x| |n| $)
(COND
((ZEROP |n|) (|spadConstant| $ 10))
((SPADCALL |x| (|getShellEntry| $ 12))
(COND ((< |n| 0) (|error| "division by zero")) ('T |x|)))
((< |n| 0)
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 14)) (- |n|)
(|getShellEntry| $ 17)))
('T (SPADCALL |x| |n| (|getShellEntry| $ 17)))))
(DEFUN |DIVRING-;*;F2S;3| (|q| |x| $)
(SPADCALL
(SPADCALL (SPADCALL |q| (|getShellEntry| $ 20))
(SPADCALL
(SPADCALL (SPADCALL |q| (|getShellEntry| $ 21))
(|getShellEntry| $ 22))
(|getShellEntry| $ 14))
(|getShellEntry| $ 23))
|x| (|getShellEntry| $ 24)))
(DEFUN |DivisionRing&| (|#1|)
(PROG (|dv$1| |dv$| $ |pv$|)
(RETURN
(PROGN
(LETT |dv$1| (|devaluate| |#1|) . #0=(|DivisionRing&|))
(LETT |dv$| (LIST '|DivisionRing&| |dv$1|) . #0#)
(LETT $ (|newShell| 27) . #0#)
(|setShellEntry| $ 0 |dv$|)
(|setShellEntry| $ 3
(LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#))
(|stuffDomainSlots| $)
(|setShellEntry| $ 6 |#1|)
$))))
(MAKEPROP '|DivisionRing&| '|infovec|
(LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|Integer|)
(0 . **) |DIVRING-;^;SIS;1| (6 . |One|) (|Boolean|)
(10 . |zero?|) (15 . |Zero|) (19 . |inv|)
(|PositiveInteger|) (|RepeatedSquaring| 6) (24 . |expt|)
|DIVRING-;**;SIS;2| (|Fraction| 7) (30 . |numer|)
(35 . |denom|) (40 . |coerce|) (45 . *) (51 . *)
|DIVRING-;*;F2S;3| (|NonNegativeInteger|))
'#(^ 57 ** 63 * 69) 'NIL
(CONS (|makeByteWordVec2| 1 'NIL)
(CONS '#()
(CONS '#()
(|makeByteWordVec2| 25
'(2 6 0 0 7 8 0 6 0 10 1 6 11 0 12 0 6
0 13 1 6 0 0 14 2 16 6 6 15 17 1 19 7
0 20 1 19 7 0 21 1 6 0 7 22 2 6 0 7 0
23 2 6 0 0 0 24 2 0 0 0 7 9 2 0 0 0 7
18 2 0 0 19 0 25)))))
'|lookupComplete|))
(SETQ |$CategoryFrame|
(|put| '|DivisionRing&| '|isFunctor|
'(((^ ($ $ (|Integer|))) T (ELT $ 9))
((** ($ $ (|Integer|))) T (ELT $ 18))
((* ($ $ (|Fraction| (|Integer|)))) T (ELT $ NIL))
((* ($ (|Fraction| (|Integer|)) $)) T (ELT $ 25))
((** ($ $ (|NonNegativeInteger|))) T (ELT $ NIL))
((^ ($ $ (|NonNegativeInteger|))) T (ELT $ NIL))
((* ($ $ $)) T (ELT $ NIL))
((** ($ $ (|PositiveInteger|))) T (ELT $ NIL))
((^ ($ $ (|PositiveInteger|))) T (ELT $ NIL))
((* ($ (|Integer|) $)) T (ELT $ NIL))
((* ($ (|NonNegativeInteger|) $)) T (ELT $ NIL))
((* ($ (|PositiveInteger|) $)) T (ELT $ NIL)))
(|addModemap| '|DivisionRing&| '(|DivisionRing&| |#1|)
'((CATEGORY |domain|
(SIGNATURE ^ (|#1| |#1| (|Integer|)))
(SIGNATURE ** (|#1| |#1| (|Integer|)))
(SIGNATURE *
(|#1| |#1| (|Fraction| (|Integer|))))
(SIGNATURE *
(|#1| (|Fraction| (|Integer|)) |#1|))
(SIGNATURE **
(|#1| |#1| (|NonNegativeInteger|)))
(SIGNATURE ^ (|#1| |#1| (|NonNegativeInteger|)))
(SIGNATURE * (|#1| |#1| |#1|))
(SIGNATURE ** (|#1| |#1| (|PositiveInteger|)))
(SIGNATURE ^ (|#1| |#1| (|PositiveInteger|)))
(SIGNATURE * (|#1| (|Integer|) |#1|))
(SIGNATURE * (|#1| (|NonNegativeInteger|) |#1|))
(SIGNATURE * (|#1| (|PositiveInteger|) |#1|)))
(|DivisionRing|))
T '|DivisionRing&|
(|put| '|DivisionRing&| '|mode|
'(|Mapping|
(CATEGORY |domain|
(SIGNATURE ^ (|#1| |#1| (|Integer|)))
(SIGNATURE ** (|#1| |#1| (|Integer|)))
(SIGNATURE *
(|#1| |#1|
(|Fraction| (|Integer|))))
(SIGNATURE *
(|#1| (|Fraction| (|Integer|))
|#1|))
(SIGNATURE **
(|#1| |#1| (|NonNegativeInteger|)))
(SIGNATURE ^
(|#1| |#1| (|NonNegativeInteger|)))
(SIGNATURE * (|#1| |#1| |#1|))
(SIGNATURE **
(|#1| |#1| (|PositiveInteger|)))
(SIGNATURE ^
(|#1| |#1| (|PositiveInteger|)))
(SIGNATURE * (|#1| (|Integer|) |#1|))
(SIGNATURE *
(|#1| (|NonNegativeInteger|) |#1|))
(SIGNATURE *
(|#1| (|PositiveInteger|) |#1|)))
(|DivisionRing|))
|$CategoryFrame|))))
|
