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|
(/VERSIONCHECK 2)
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Boolean|)
|EUCDOM-;sizeLess?;2SB;1|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
|EUCDOM-;quo;3S;2|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
|EUCDOM-;rem;3S;3|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Pair|)
|EUCDOM-;exquo;2SU;4|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
|EUCDOM-;gcd;3S;5|))
(DECLAIM (FTYPE (FUNCTION (|%Shell| |%Shell|) |%Shell|)
|EUCDOM-;unitNormalizeIdealElt|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Shell|)
|EUCDOM-;extendedEuclidean;2SR;7|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|)
|%Pair|)
|EUCDOM-;extendedEuclidean;3SU;8|))
(DECLAIM (FTYPE (FUNCTION (|%List| |%Shell|) |%Pair|)
|EUCDOM-;principalIdeal;LR;9|))
(DECLAIM (FTYPE (FUNCTION (|%List| |%Thing| |%Shell|) |%Pair|)
|EUCDOM-;expressIdealMember;LSU;10|))
(DECLAIM (FTYPE (FUNCTION (|%List| |%Thing| |%Shell|) |%Pair|)
|EUCDOM-;multiEuclidean;LSU;11|))
(DEFUN |EUCDOM-;sizeLess?;2SB;1| (|x| |y| $)
(COND
((SPADCALL |y| (|getShellEntry| $ 8)) NIL)
((SPADCALL |x| (|getShellEntry| $ 8)) T)
('T
(< (SPADCALL |x| (|getShellEntry| $ 12))
(SPADCALL |y| (|getShellEntry| $ 12))))))
(DEFUN |EUCDOM-;quo;3S;2| (|x| |y| $)
(CAR (SPADCALL |x| |y| (|getShellEntry| $ 16))))
(DEFUN |EUCDOM-;rem;3S;3| (|x| |y| $)
(CDR (SPADCALL |x| |y| (|getShellEntry| $ 16))))
(DEFUN |EUCDOM-;exquo;2SU;4| (|x| |y| $)
(PROG (|qr|)
(RETURN
(SEQ (COND
((SPADCALL |x| (|getShellEntry| $ 8))
(CONS 0 (|spadConstant| $ 19)))
((SPADCALL |y| (|getShellEntry| $ 8)) (CONS 1 "failed"))
('T
(SEQ (LETT |qr| (SPADCALL |x| |y| (|getShellEntry| $ 16))
|EUCDOM-;exquo;2SU;4|)
(EXIT (COND
((SPADCALL (CDR |qr|) (|getShellEntry| $ 8))
(CONS 0 (CAR |qr|)))
('T (CONS 1 "failed")))))))))))
(DEFUN |EUCDOM-;gcd;3S;5| (|x| |y| $)
(PROG (|#G13| |#G14|)
(RETURN
(SEQ (SETQ |x| (SPADCALL |x| (|getShellEntry| $ 22)))
(SETQ |y| (SPADCALL |y| (|getShellEntry| $ 22)))
(LOOP
(COND
((NOT (NOT (SPADCALL |y| (|getShellEntry| $ 8))))
(RETURN NIL))
(T (SEQ (LETT |#G13| |y| |EUCDOM-;gcd;3S;5|)
(LETT |#G14|
(SPADCALL |x| |y| (|getShellEntry| $ 24))
|EUCDOM-;gcd;3S;5|)
(SETQ |x| |#G13|) (SETQ |y| |#G14|)
(EXIT (SETQ |y|
(SPADCALL |y|
(|getShellEntry| $ 22))))))))
(EXIT |x|)))))
(DEFUN |EUCDOM-;unitNormalizeIdealElt| (|s| $)
(LET* ((|#G16| (SPADCALL (QVELT |s| 2) (|getShellEntry| $ 27)))
(|u| (QVELT |#G16| 0)) (|c| (QVELT |#G16| 1))
(|a| (QVELT |#G16| 2)))
(SEQ |#G16|
(EXIT (COND
((SPADCALL |a| (|getShellEntry| $ 28)) |s|)
('T
(VECTOR (SPADCALL |a| (QVELT |s| 0)
(|getShellEntry| $ 29))
(SPADCALL |a| (QVELT |s| 1)
(|getShellEntry| $ 29))
|c|)))))))
(DEFUN |EUCDOM-;extendedEuclidean;2SR;7| (|x| |y| $)
(PROG (|s3| |qr|)
(RETURN
(LET ((|s1| (|EUCDOM-;unitNormalizeIdealElt|
(VECTOR (|spadConstant| $ 30)
(|spadConstant| $ 19) |x|)
$))
(|s2| (|EUCDOM-;unitNormalizeIdealElt|
(VECTOR (|spadConstant| $ 19)
(|spadConstant| $ 30) |y|)
$)))
(COND
((SPADCALL |y| (|getShellEntry| $ 8)) |s1|)
((SPADCALL |x| (|getShellEntry| $ 8)) |s2|)
('T
(SEQ (LOOP
(COND
((NOT (NOT (SPADCALL (QVELT |s2| 2)
(|getShellEntry| $ 8))))
(RETURN NIL))
(T (SEQ (LETT |qr|
(SPADCALL (QVELT |s1| 2)
(QVELT |s2| 2)
(|getShellEntry| $ 16))
|EUCDOM-;extendedEuclidean;2SR;7|)
(LETT |s3|
(VECTOR (SPADCALL (QVELT |s1| 0)
(SPADCALL (CAR |qr|)
(QVELT |s2| 0)
(|getShellEntry| $ 29))
(|getShellEntry| $ 31))
(SPADCALL (QVELT |s1| 1)
(SPADCALL (CAR |qr|)
(QVELT |s2| 1)
(|getShellEntry| $ 29))
(|getShellEntry| $ 31))
(CDR |qr|))
|EUCDOM-;extendedEuclidean;2SR;7|)
(SETQ |s1| |s2|)
(EXIT (SETQ |s2|
(|EUCDOM-;unitNormalizeIdealElt|
|s3| $)))))))
(COND
((NOT (SPADCALL (QVELT |s1| 0) (|getShellEntry| $ 8)))
(COND
((NOT (SPADCALL (QVELT |s1| 0) |y|
(|getShellEntry| $ 32)))
(SEQ (LETT |qr|
(SPADCALL (QVELT |s1| 0) |y|
(|getShellEntry| $ 16))
|EUCDOM-;extendedEuclidean;2SR;7|)
(QSETVELT |s1| 0 (CDR |qr|))
(QSETVELT |s1| 1
(SPADCALL (QVELT |s1| 1)
(SPADCALL (CAR |qr|) |x|
(|getShellEntry| $ 29))
(|getShellEntry| $ 33)))
(EXIT (SETQ |s1|
(|EUCDOM-;unitNormalizeIdealElt|
|s1| $))))))))
(EXIT |s1|))))))))
(DEFUN |EUCDOM-;extendedEuclidean;3SU;8| (|x| |y| |z| $)
(PROG (|s| |w| |qr|)
(RETURN
(SEQ (COND
((SPADCALL |z| (|getShellEntry| $ 8))
(CONS 0
(CONS (|spadConstant| $ 19) (|spadConstant| $ 19))))
('T
(SEQ (LETT |s| (SPADCALL |x| |y| (|getShellEntry| $ 36))
|EUCDOM-;extendedEuclidean;3SU;8|)
(LETT |w|
(SPADCALL |z| (QVELT |s| 2)
(|getShellEntry| $ 37))
|EUCDOM-;extendedEuclidean;3SU;8|)
(EXIT (COND
((EQL (CAR |w|) 1) (CONS 1 "failed"))
((SPADCALL |y| (|getShellEntry| $ 8))
(CONS 0
(CONS (SPADCALL (QVELT |s| 0)
(CDR |w|)
(|getShellEntry| $ 29))
(SPADCALL (QVELT |s| 1)
(CDR |w|)
(|getShellEntry| $ 29)))))
('T
(SEQ (LETT |qr|
(SPADCALL
(SPADCALL (QVELT |s| 0)
(CDR |w|)
(|getShellEntry| $ 29))
|y| (|getShellEntry| $ 16))
|EUCDOM-;extendedEuclidean;3SU;8|)
(EXIT (CONS 0
(CONS (CDR |qr|)
(SPADCALL
(SPADCALL (QVELT |s| 1)
(CDR |w|)
(|getShellEntry| $ 29))
(SPADCALL (CAR |qr|) |x|
(|getShellEntry| $ 29))
(|getShellEntry| $ 33))))))))))))))))
(DEFUN |EUCDOM-;principalIdeal;LR;9| (|l| $)
(PROG (|uca| |v| |u|)
(RETURN
(SEQ (COND
((SPADCALL |l| NIL (|getShellEntry| $ 42))
(|error| "empty list passed to principalIdeal"))
((SPADCALL (CDR |l|) NIL (|getShellEntry| $ 42))
(SEQ (LETT |uca|
(SPADCALL (|SPADfirst| |l|)
(|getShellEntry| $ 27))
|EUCDOM-;principalIdeal;LR;9|)
(EXIT (CONS (LIST (QVELT |uca| 0)) (QVELT |uca| 1)))))
((SPADCALL (CDR (CDR |l|)) NIL (|getShellEntry| $ 42))
(SEQ (LETT |u|
(SPADCALL (|SPADfirst| |l|)
(SPADCALL |l| (|getShellEntry| $ 45))
(|getShellEntry| $ 36))
|EUCDOM-;principalIdeal;LR;9|)
(EXIT (CONS (LIST (QVELT |u| 0) (QVELT |u| 1))
(QVELT |u| 2)))))
('T
(SEQ (LETT |v|
(SPADCALL (CDR |l|) (|getShellEntry| $ 48))
|EUCDOM-;principalIdeal;LR;9|)
(LETT |u|
(SPADCALL (|SPADfirst| |l|) (CDR |v|)
(|getShellEntry| $ 36))
|EUCDOM-;principalIdeal;LR;9|)
(EXIT (CONS (CONS (QVELT |u| 0)
(LET
((#0=#:G1519 (CAR |v|))
(#1=#:G1518 NIL))
(LOOP
(COND
((ATOM #0#)
(RETURN (NREVERSE #1#)))
(T
(LET ((|vv| (CAR #0#)))
(SETQ #1#
(CONS
(SPADCALL (QVELT |u| 1)
|vv|
(|getShellEntry| $ 29))
#1#)))))
(SETQ #0# (CDR #0#)))))
(QVELT |u| 2))))))))))
(DEFUN |EUCDOM-;expressIdealMember;LSU;10| (|l| |z| $)
(PROG (|pid| |q|)
(RETURN
(SEQ (COND
((SPADCALL |z| (|spadConstant| $ 19)
(|getShellEntry| $ 51))
(CONS 0
(LET ((#0=#:G1521 |l|) (#1=#:G1520 NIL))
(LOOP
(COND
((ATOM #0#) (RETURN (NREVERSE #1#)))
(T (LET ((|v| (CAR #0#)))
(SETQ #1#
(CONS (|spadConstant| $ 19) #1#)))))
(SETQ #0# (CDR #0#))))))
('T
(SEQ (LETT |pid| (SPADCALL |l| (|getShellEntry| $ 48))
|EUCDOM-;expressIdealMember;LSU;10|)
(LETT |q|
(SPADCALL |z| (CDR |pid|)
(|getShellEntry| $ 37))
|EUCDOM-;expressIdealMember;LSU;10|)
(EXIT (COND
((EQL (CAR |q|) 1) (CONS 1 "failed"))
('T
(CONS 0
(LET ((#2=#:G1523 (CAR |pid|))
(#3=#:G1522 NIL))
(LOOP
(COND
((ATOM #2#)
(RETURN (NREVERSE #3#)))
(T
(LET ((|v| (CAR #2#)))
(SETQ #3#
(CONS
(SPADCALL (CDR |q|) |v|
(|getShellEntry| $ 29))
#3#)))))
(SETQ #2# (CDR #2#)))))))))))))))
(DEFUN |EUCDOM-;multiEuclidean;LSU;11| (|l| |z| $)
(PROG (|l1| |l2| |u| |v1| |v2|)
(RETURN
(LET ((|n| (LENGTH |l|)))
(COND
((ZEROP |n|) (|error| "empty list passed to multiEuclidean"))
((EQL |n| 1) (CONS 0 (LIST |z|)))
('T
(SEQ (LETT |l1| (SPADCALL |l| (|getShellEntry| $ 58))
|EUCDOM-;multiEuclidean;LSU;11|)
(LETT |l2|
(SPADCALL |l1| (QUOTIENT2 |n| 2)
(|getShellEntry| $ 61))
|EUCDOM-;multiEuclidean;LSU;11|)
(LETT |u|
(SPADCALL
(LET ((#0=#:G1504 NIL) (#1=#:G1505 T)
(#2=#:G1524 |l1|))
(LOOP
(COND
((ATOM #2#)
(RETURN
(COND
(#1# (|spadConstant| $ 30))
(T #0#))))
(T (LET ((#3=#:G1397 (CAR #2#)))
(LET ((#4=#:G1503 #3#))
(COND
(#1# (SETQ #0# #4#))
(T
(SETQ #0#
(SPADCALL #0# #4#
(|getShellEntry| $ 29)))))
(SETQ #1# NIL)))))
(SETQ #2# (CDR #2#))))
(LET ((#5=#:G1507 NIL) (#6=#:G1508 T)
(#7=#:G1525 |l2|))
(LOOP
(COND
((ATOM #7#)
(RETURN
(COND
(#6# (|spadConstant| $ 30))
(T #5#))))
(T (LET ((#8=#:G1398 (CAR #7#)))
(LET ((#9=#:G1506 #8#))
(COND
(#6# (SETQ #5# #9#))
(T
(SETQ #5#
(SPADCALL #5# #9#
(|getShellEntry| $ 29)))))
(SETQ #6# NIL)))))
(SETQ #7# (CDR #7#))))
|z| (|getShellEntry| $ 62))
|EUCDOM-;multiEuclidean;LSU;11|)
(EXIT (COND
((EQL (CAR |u|) 1) (CONS 1 "failed"))
('T
(SEQ (LETT |v1|
(SPADCALL |l1| (CDR (CDR |u|))
(|getShellEntry| $ 63))
|EUCDOM-;multiEuclidean;LSU;11|)
(EXIT (COND
((EQL (CAR |v1|) 1)
(CONS 1 "failed"))
('T
(SEQ
(LETT |v2|
(SPADCALL |l2| (CAR (CDR |u|))
(|getShellEntry| $ 63))
|EUCDOM-;multiEuclidean;LSU;11|)
(EXIT
(COND
((EQL (CAR |v2|) 1)
(CONS 1 "failed"))
('T
(CONS 0
(SPADCALL (CDR |v1|)
(CDR |v2|)
(|getShellEntry| $ 64)))))))))))))))))))))
(DEFUN |EuclideanDomain&| (|#1|)
(LET* ((|dv$1| (|devaluate| |#1|))
(|dv$| (LIST '|EuclideanDomain&| |dv$1|)) ($ (|newShell| 66))
(|pv$| (|buildPredVector| 0 0 NIL)))
(|setShellEntry| $ 0 |dv$|)
(|setShellEntry| $ 3 |pv$|)
(|stuffDomainSlots| $)
(|setShellEntry| $ 6 |#1|)
$))
(MAKEPROP '|EuclideanDomain&| '|infovec|
(LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|Boolean|)
(0 . |zero?|) (5 . |false|) (9 . |true|)
(|NonNegativeInteger|) (13 . |euclideanSize|) (18 . <)
|EUCDOM-;sizeLess?;2SB;1|
(|Record| (|:| |quotient| $) (|:| |remainder| $))
(24 . |divide|) |EUCDOM-;quo;3S;2| |EUCDOM-;rem;3S;3|
(30 . |Zero|) (|Union| $ '"failed") |EUCDOM-;exquo;2SU;4|
(34 . |unitCanonical|) (39 . |not|) (44 . |rem|)
|EUCDOM-;gcd;3S;5|
(|Record| (|:| |unit| $) (|:| |canonical| $)
(|:| |associate| $))
(50 . |unitNormal|) (55 . |one?|) (60 . *) (66 . |One|)
(70 . -) (76 . |sizeLess?|) (82 . +)
(|Record| (|:| |coef1| $) (|:| |coef2| $)
(|:| |generator| $))
|EUCDOM-;extendedEuclidean;2SR;7|
(88 . |extendedEuclidean|) (94 . |exquo|)
(|Record| (|:| |coef1| $) (|:| |coef2| $))
(|Union| 38 '"failed") |EUCDOM-;extendedEuclidean;3SU;8|
(|List| 6) (100 . =) (106 . |rest|) (111 . |first|)
(116 . |second|) (|List| $)
(|Record| (|:| |coef| 46) (|:| |generator| $))
(121 . |principalIdeal|) (126 . |cons|)
|EUCDOM-;principalIdeal;LR;9| (132 . =)
(|Union| 46 '"failed") |EUCDOM-;expressIdealMember;LSU;10|
(138 . |#|) (143 . |zero?|) (148 . |One|) (152 . =)
(158 . |copy|) (163 . |quo|) (|Integer|) (169 . |split!|)
(175 . |extendedEuclidean|) (182 . |multiEuclidean|)
(188 . |concat|) |EUCDOM-;multiEuclidean;LSU;11|)
'#(|sizeLess?| 194 |rem| 200 |quo| 206 |principalIdeal| 212
|multiEuclidean| 217 |gcd| 223 |extendedEuclidean| 229
|exquo| 242 |expressIdealMember| 248)
'NIL
(CONS (|makeByteWordVec2| 1 'NIL)
(CONS '#()
(CONS '#()
(|makeByteWordVec2| 65
'(1 6 7 0 8 0 7 0 9 0 7 0 10 1 6 11 0
12 2 11 7 0 0 13 2 6 15 0 0 16 0 6 0
19 1 6 0 0 22 1 7 0 0 23 2 6 0 0 0 24
1 6 26 0 27 1 6 7 0 28 2 6 0 0 0 29 0
6 0 30 2 6 0 0 0 31 2 6 7 0 0 32 2 6
0 0 0 33 2 6 34 0 0 36 2 6 20 0 0 37
2 41 7 0 0 42 1 41 0 0 43 1 41 6 0 44
1 41 6 0 45 1 6 47 46 48 2 41 0 6 0
49 2 6 7 0 0 51 1 41 11 0 54 1 11 7 0
55 0 11 0 56 2 11 7 0 0 57 1 41 0 0
58 2 11 0 0 0 59 2 41 0 0 60 61 3 6
39 0 0 0 62 2 6 52 46 0 63 2 41 0 0 0
64 2 0 7 0 0 14 2 0 0 0 0 18 2 0 0 0
0 17 1 0 47 46 50 2 0 52 46 0 65 2 0
0 0 0 25 3 0 39 0 0 0 40 2 0 34 0 0
35 2 0 20 0 0 21 2 0 52 46 0 53)))))
'|lookupComplete|))
|
