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|
(/VERSIONCHECK 2)
(DECLAIM (FTYPE (FUNCTION (|%Shell|) (|%IntegerSection| 0))
|INS-;characteristic;Nni;1|))
(PUT '|INS-;characteristic;Nni;1| '|SPADreplace| '(XLAM NIL 0))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
|INS-;differentiate;2S;2|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Boolean|)
|INS-;even?;SB;3|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Boolean|)
|INS-;positive?;SB;4|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
|INS-;copy;2S;5|))
(PUT '|INS-;copy;2S;5| '|SPADreplace| '(XLAM (|x|) |x|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Boolean|)
|INS-;bit?;2SB;6|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
|INS-;mask;2S;7|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Boolean|)
|INS-;rational?;SB;8|))
(PUT '|INS-;rational?;SB;8| '|SPADreplace| '(XLAM (|x|) 'T))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) (|%IntegerSection| 0))
|INS-;euclideanSize;SNni;9|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
|INS-;convert;SF;10|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%DoubleFloat|)
|INS-;convert;SDf;11|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
|INS-;convert;SIf;12|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Integer|)
|INS-;retract;SI;13|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
|INS-;convert;SP;14|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
|INS-;factor;SF;15|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
|INS-;squareFree;SF;16|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Boolean|)
|INS-;prime?;SB;17|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
|INS-;factorial;2S;18|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
|INS-;binomial;3S;19|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
|INS-;permutation;3S;20|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|)
|INS-;retractIfCan;SU;21|))
(DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Thing|) |INS-;init;S;22|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|)
|INS-;nextItem;SU;23|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|)
|%Thing|)
|INS-;patternMatch;SP2Pmr;24|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
|INS-;rational;SF;25|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|)
|INS-;rationalIfCan;SU;26|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
|INS-;symmetricRemainder;3S;27|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
|INS-;invmod;3S;28|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|)
|%Thing|)
|INS-;powmod;4S;29|))
(DEFUN |INS-;characteristic;Nni;1| ($) (DECLARE (IGNORE $)) 0)
(DEFUN |INS-;differentiate;2S;2| (|x| $) (|spadConstant| $ 10))
(DEFUN |INS-;even?;SB;3| (|x| $)
(NOT (SPADCALL |x| (|getShellEntry| $ 13))))
(DEFUN |INS-;positive?;SB;4| (|x| $)
(SPADCALL (|spadConstant| $ 10) |x| (|getShellEntry| $ 16)))
(DEFUN |INS-;copy;2S;5| (|x| $) (DECLARE (IGNORE $)) |x|)
(DEFUN |INS-;bit?;2SB;6| (|x| |i| $)
(SPADCALL
(SPADCALL |x| (SPADCALL |i| (|getShellEntry| $ 19))
(|getShellEntry| $ 20))
(|getShellEntry| $ 13)))
(DEFUN |INS-;mask;2S;7| (|n| $)
(SPADCALL (SPADCALL (|spadConstant| $ 22) |n| (|getShellEntry| $ 20))
(|getShellEntry| $ 23)))
(DEFUN |INS-;rational?;SB;8| (|x| $) (DECLARE (IGNORE $)) 'T)
(DEFUN |INS-;euclideanSize;SNni;9| (|x| $)
(PROG (#0=#:G1426 #1=#:G1427)
(RETURN
(COND
((SPADCALL |x| (|spadConstant| $ 10) (|getShellEntry| $ 27))
(|error| "euclideanSize called on zero"))
((SPADCALL |x| (|spadConstant| $ 10) (|getShellEntry| $ 16))
(PROG1 (LETT #0# (- (SPADCALL |x| (|getShellEntry| $ 29)))
|INS-;euclideanSize;SNni;9|)
(|check-subtype| (COND ((< #0# 0) 'NIL) ('T 'T))
'(|NonNegativeInteger|) #0#)))
('T
(PROG1 (LETT #1# (SPADCALL |x| (|getShellEntry| $ 29))
|INS-;euclideanSize;SNni;9|)
(|check-subtype| (COND ((< #1# 0) 'NIL) ('T 'T))
'(|NonNegativeInteger|) #1#)))))))
(DEFUN |INS-;convert;SF;10| (|x| $)
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 29))
(|getShellEntry| $ 33)))
(DEFUN |INS-;convert;SDf;11| (|x| $)
(FLOAT (SPADCALL |x| (|getShellEntry| $ 29)) |$DoubleFloatMaximum|))
(DEFUN |INS-;convert;SIf;12| (|x| $)
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 29))
(|getShellEntry| $ 39)))
(DEFUN |INS-;retract;SI;13| (|x| $)
(SPADCALL |x| (|getShellEntry| $ 29)))
(DEFUN |INS-;convert;SP;14| (|x| $)
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 29))
(|getShellEntry| $ 43)))
(DEFUN |INS-;factor;SF;15| (|x| $)
(SPADCALL |x| (|getShellEntry| $ 47)))
(DEFUN |INS-;squareFree;SF;16| (|x| $)
(SPADCALL |x| (|getShellEntry| $ 50)))
(DEFUN |INS-;prime?;SB;17| (|x| $)
(SPADCALL |x| (|getShellEntry| $ 53)))
(DEFUN |INS-;factorial;2S;18| (|x| $)
(SPADCALL |x| (|getShellEntry| $ 56)))
(DEFUN |INS-;binomial;3S;19| (|n| |m| $)
(SPADCALL |n| |m| (|getShellEntry| $ 58)))
(DEFUN |INS-;permutation;3S;20| (|n| |m| $)
(SPADCALL |n| |m| (|getShellEntry| $ 60)))
(DEFUN |INS-;retractIfCan;SU;21| (|x| $)
(CONS 0 (SPADCALL |x| (|getShellEntry| $ 29))))
(DEFUN |INS-;init;S;22| ($) (|spadConstant| $ 10))
(DEFUN |INS-;nextItem;SU;23| (|n| $)
(COND
((SPADCALL |n| (|getShellEntry| $ 65))
(CONS 0 (|spadConstant| $ 22)))
((SPADCALL (|spadConstant| $ 10) |n| (|getShellEntry| $ 16))
(CONS 0 (SPADCALL |n| (|getShellEntry| $ 19))))
('T
(CONS 0
(SPADCALL (|spadConstant| $ 22) |n| (|getShellEntry| $ 66))))))
(DEFUN |INS-;patternMatch;SP2Pmr;24| (|x| |p| |l| $)
(SPADCALL |x| |p| |l| (|getShellEntry| $ 71)))
(DEFUN |INS-;rational;SF;25| (|x| $)
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 29))
(|getShellEntry| $ 75)))
(DEFUN |INS-;rationalIfCan;SU;26| (|x| $)
(CONS 0
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 29))
(|getShellEntry| $ 75))))
(DEFUN |INS-;symmetricRemainder;3S;27| (|x| |n| $)
(PROG (|r|)
(RETURN
(SEQ (LETT |r| (SPADCALL |x| |n| (|getShellEntry| $ 79))
|INS-;symmetricRemainder;3S;27|)
(EXIT (COND
((SPADCALL |r| (|spadConstant| $ 10)
(|getShellEntry| $ 27))
|r|)
('T
(SEQ (COND
((SPADCALL |n| (|spadConstant| $ 10)
(|getShellEntry| $ 16))
(LETT |n|
(SPADCALL |n| (|getShellEntry| $ 19))
|INS-;symmetricRemainder;3S;27|)))
(EXIT (COND
((SPADCALL (|spadConstant| $ 10) |r|
(|getShellEntry| $ 16))
(COND
((SPADCALL |n|
(SPADCALL 2 |r|
(|getShellEntry| $ 81))
(|getShellEntry| $ 16))
(SPADCALL |r| |n|
(|getShellEntry| $ 66)))
('T |r|)))
((NOT (SPADCALL (|spadConstant| $ 10)
(SPADCALL
(SPADCALL 2 |r|
(|getShellEntry| $ 81))
|n| (|getShellEntry| $ 82))
(|getShellEntry| $ 16)))
(SPADCALL |r| |n|
(|getShellEntry| $ 82)))
('T |r|)))))))))))
(DEFUN |INS-;invmod;3S;28| (|a| |b| $)
(PROG (|q| |r| |r1| |c| |c1| |d| |d1|)
(RETURN
(SEQ (COND
((SPADCALL |a| (|getShellEntry| $ 84))
(LETT |a| (SPADCALL |a| |b| (|getShellEntry| $ 85))
|INS-;invmod;3S;28|)))
(LETT |c| |a| |INS-;invmod;3S;28|)
(LETT |c1| (|spadConstant| $ 22) |INS-;invmod;3S;28|)
(LETT |d| |b| |INS-;invmod;3S;28|)
(LETT |d1| (|spadConstant| $ 10) |INS-;invmod;3S;28|)
(SEQ G190
(COND
((NULL (NOT (SPADCALL |d| (|getShellEntry| $ 65))))
(GO G191)))
(SEQ (LETT |q|
(SPADCALL |c| |d| (|getShellEntry| $ 86))
|INS-;invmod;3S;28|)
(LETT |r|
(SPADCALL |c|
(SPADCALL |q| |d|
(|getShellEntry| $ 87))
(|getShellEntry| $ 66))
|INS-;invmod;3S;28|)
(LETT |r1|
(SPADCALL |c1|
(SPADCALL |q| |d1|
(|getShellEntry| $ 87))
(|getShellEntry| $ 66))
|INS-;invmod;3S;28|)
(LETT |c| |d| |INS-;invmod;3S;28|)
(LETT |c1| |d1| |INS-;invmod;3S;28|)
(LETT |d| |r| |INS-;invmod;3S;28|)
(EXIT (LETT |d1| |r1| |INS-;invmod;3S;28|)))
NIL (GO G190) G191 (EXIT NIL))
(COND
((NOT (SPADCALL |c| (|getShellEntry| $ 88)))
(EXIT (|error| "inverse does not exist"))))
(EXIT (COND
((SPADCALL |c1| (|getShellEntry| $ 84))
(SPADCALL |c1| |b| (|getShellEntry| $ 82)))
('T |c1|)))))))
(DEFUN |INS-;powmod;4S;29| (|x| |n| |p| $)
(PROG (|y| #0=#:G1484 |z|)
(RETURN
(SEQ (EXIT (SEQ (COND
((SPADCALL |x| (|getShellEntry| $ 84))
(LETT |x|
(SPADCALL |x| |p|
(|getShellEntry| $ 85))
|INS-;powmod;4S;29|)))
(EXIT (COND
((SPADCALL |x| (|getShellEntry| $ 65))
(|spadConstant| $ 10))
((SPADCALL |n| (|getShellEntry| $ 65))
(|spadConstant| $ 22))
('T
(SEQ (LETT |y| (|spadConstant| $ 22)
|INS-;powmod;4S;29|)
(LETT |z| |x| |INS-;powmod;4S;29|)
(EXIT
(SEQ G190 NIL
(SEQ
(COND
((SPADCALL |n|
(|getShellEntry| $ 13))
(LETT |y|
(SPADCALL |y| |z| |p|
(|getShellEntry| $ 90))
|INS-;powmod;4S;29|)))
(EXIT
(COND
((SPADCALL
(LETT |n|
(SPADCALL |n|
(SPADCALL
(|spadConstant| $ 22)
(|getShellEntry| $ 19))
(|getShellEntry| $ 20))
|INS-;powmod;4S;29|)
(|getShellEntry| $ 65))
(PROGN
(LETT #0# |y|
|INS-;powmod;4S;29|)
(GO #0#)))
('T
(LETT |z|
(SPADCALL |z| |z| |p|
(|getShellEntry| $ 90))
|INS-;powmod;4S;29|)))))
NIL (GO G190) G191 (EXIT NIL)))))))))
#0# (EXIT #0#)))))
(DEFUN |IntegerNumberSystem&| (|#1|)
(PROG (|dv$1| |dv$| $ |pv$|)
(RETURN
(PROGN
(LETT |dv$1| (|devaluate| |#1|) . #0=(|IntegerNumberSystem&|))
(LETT |dv$| (LIST '|IntegerNumberSystem&| |dv$1|) . #0#)
(LETT $ (|newShell| 92) . #0#)
(|setShellEntry| $ 0 |dv$|)
(|setShellEntry| $ 3
(LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#))
(|stuffDomainSlots| $)
(|setShellEntry| $ 6 |#1|)
$))))
(MAKEPROP '|IntegerNumberSystem&| '|infovec|
(LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|)
(|NonNegativeInteger|) (0 . |Zero|)
|INS-;characteristic;Nni;1| (4 . |Zero|)
|INS-;differentiate;2S;2| (|Boolean|) (8 . |odd?|)
(13 . |not|) |INS-;even?;SB;3| (18 . <)
|INS-;positive?;SB;4| |INS-;copy;2S;5| (24 . -)
(29 . |shift|) |INS-;bit?;2SB;6| (35 . |One|) (39 . |dec|)
|INS-;mask;2S;7| (44 . |true|) |INS-;rational?;SB;8|
(48 . =) (|Integer|) (54 . |convert|) (59 . -)
|INS-;euclideanSize;SNni;9| (|Float|) (64 . |coerce|)
|INS-;convert;SF;10| (|DoubleFloat|) (69 . |coerce|)
|INS-;convert;SDf;11| (|InputForm|) (74 . |convert|)
|INS-;convert;SIf;12| |INS-;retract;SI;13| (|Pattern| 28)
(79 . |coerce|) |INS-;convert;SP;14| (|Factored| 6)
(|IntegerFactorizationPackage| 6) (84 . |factor|)
(|Factored| $) |INS-;factor;SF;15| (89 . |squareFree|)
|INS-;squareFree;SF;16| (|IntegerPrimesPackage| 6)
(94 . |prime?|) |INS-;prime?;SB;17|
(|IntegerCombinatoricFunctions| 6) (99 . |factorial|)
|INS-;factorial;2S;18| (104 . |binomial|)
|INS-;binomial;3S;19| (110 . |permutation|)
|INS-;permutation;3S;20| (|Union| 28 '"failed")
|INS-;retractIfCan;SU;21| |INS-;init;S;22| (116 . |zero?|)
(121 . -) (|Union| $ '"failed") |INS-;nextItem;SU;23|
(|PatternMatchResult| 28 6)
(|PatternMatchIntegerNumberSystem| 6)
(127 . |patternMatch|) (|PatternMatchResult| 28 $)
|INS-;patternMatch;SP2Pmr;24| (|Fraction| 28)
(134 . |coerce|) |INS-;rational;SF;25|
(|Union| 74 '"failed") |INS-;rationalIfCan;SU;26|
(139 . |rem|) (|PositiveInteger|) (145 . *) (151 . +)
|INS-;symmetricRemainder;3S;27| (157 . |negative?|)
(162 . |positiveRemainder|) (168 . |quo|) (174 . *)
(180 . |one?|) |INS-;invmod;3S;28| (185 . |mulmod|)
|INS-;powmod;4S;29|)
'#(|symmetricRemainder| 192 |squareFree| 198 |retractIfCan|
203 |retract| 208 |rationalIfCan| 213 |rational?| 218
|rational| 223 |prime?| 228 |powmod| 233 |positive?| 240
|permutation| 245 |patternMatch| 251 |nextItem| 258 |mask|
263 |invmod| 268 |init| 274 |factorial| 278 |factor| 283
|even?| 288 |euclideanSize| 293 |differentiate| 298 |copy|
303 |convert| 308 |characteristic| 328 |bit?| 332
|binomial| 338)
'NIL
(CONS (|makeByteWordVec2| 1 'NIL)
(CONS '#()
(CONS '#()
(|makeByteWordVec2| 91
'(0 7 0 8 0 6 0 10 1 6 12 0 13 1 12 0 0
14 2 6 12 0 0 16 1 6 0 0 19 2 6 0 0 0
20 0 6 0 22 1 6 0 0 23 0 12 0 25 2 6
12 0 0 27 1 6 28 0 29 1 28 0 0 30 1
32 0 28 33 1 35 0 28 36 1 38 0 28 39
1 42 0 28 43 1 46 45 6 47 1 46 45 6
50 1 52 12 6 53 1 55 6 6 56 2 55 6 6
6 58 2 55 6 6 6 60 1 6 12 0 65 2 6 0
0 0 66 3 70 69 6 42 69 71 1 74 0 28
75 2 6 0 0 0 79 2 6 0 80 0 81 2 6 0 0
0 82 1 6 12 0 84 2 6 0 0 0 85 2 6 0 0
0 86 2 6 0 0 0 87 1 6 12 0 88 3 6 0 0
0 0 90 2 0 0 0 0 83 1 0 48 0 51 1 0
62 0 63 1 0 28 0 41 1 0 77 0 78 1 0
12 0 26 1 0 74 0 76 1 0 12 0 54 3 0 0
0 0 0 91 1 0 12 0 17 2 0 0 0 0 61 3 0
72 0 42 72 73 1 0 67 0 68 1 0 0 0 24
2 0 0 0 0 89 0 0 0 64 1 0 0 0 57 1 0
48 0 49 1 0 12 0 15 1 0 7 0 31 1 0 0
0 11 1 0 0 0 18 1 0 35 0 37 1 0 32 0
34 1 0 42 0 44 1 0 38 0 40 0 0 7 9 2
0 12 0 0 21 2 0 0 0 0 59)))))
'|lookupComplete|))
|
