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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| $ 15)))
(DEFUN |INS-;copy;2S;5| (|x| $) (DECLARE (IGNORE $)) |x|)
(DEFUN |INS-;bit?;2SB;6| (|x| |i| $)
(SPADCALL
(SPADCALL |x| (SPADCALL |i| (|getShellEntry| $ 18))
(|getShellEntry| $ 19))
(|getShellEntry| $ 13)))
(DEFUN |INS-;mask;2S;7| (|n| $)
(SPADCALL (SPADCALL (|spadConstant| $ 21) |n| (|getShellEntry| $ 19))
(|getShellEntry| $ 22)))
(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| $ 26))
(|error| "euclideanSize called on zero"))
((SPADCALL |x| (|spadConstant| $ 10) (|getShellEntry| $ 15))
(PROG1 (LETT #0# (- (SPADCALL |x| (|getShellEntry| $ 28)))
|INS-;euclideanSize;SNni;9|)
(|check-subtype| (COND ((< #0# 0) 'NIL) ('T 'T))
'(|NonNegativeInteger|) #0#)))
('T
(PROG1 (LETT #1# (SPADCALL |x| (|getShellEntry| $ 28))
|INS-;euclideanSize;SNni;9|)
(|check-subtype| (COND ((< #1# 0) 'NIL) ('T 'T))
'(|NonNegativeInteger|) #1#)))))))
(DEFUN |INS-;convert;SF;10| (|x| $)
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 28))
(|getShellEntry| $ 32)))
(DEFUN |INS-;convert;SDf;11| (|x| $)
(FLOAT (SPADCALL |x| (|getShellEntry| $ 28)) |$DoubleFloatMaximum|))
(DEFUN |INS-;convert;SIf;12| (|x| $)
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 28))
(|getShellEntry| $ 38)))
(DEFUN |INS-;retract;SI;13| (|x| $)
(SPADCALL |x| (|getShellEntry| $ 28)))
(DEFUN |INS-;convert;SP;14| (|x| $)
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 28))
(|getShellEntry| $ 42)))
(DEFUN |INS-;factor;SF;15| (|x| $)
(SPADCALL |x| (|getShellEntry| $ 46)))
(DEFUN |INS-;squareFree;SF;16| (|x| $)
(SPADCALL |x| (|getShellEntry| $ 49)))
(DEFUN |INS-;prime?;SB;17| (|x| $)
(SPADCALL |x| (|getShellEntry| $ 52)))
(DEFUN |INS-;factorial;2S;18| (|x| $)
(SPADCALL |x| (|getShellEntry| $ 55)))
(DEFUN |INS-;binomial;3S;19| (|n| |m| $)
(SPADCALL |n| |m| (|getShellEntry| $ 57)))
(DEFUN |INS-;permutation;3S;20| (|n| |m| $)
(SPADCALL |n| |m| (|getShellEntry| $ 59)))
(DEFUN |INS-;retractIfCan;SU;21| (|x| $)
(CONS 0 (SPADCALL |x| (|getShellEntry| $ 28))))
(DEFUN |INS-;init;S;22| ($) (|spadConstant| $ 10))
(DEFUN |INS-;nextItem;SU;23| (|n| $)
(COND
((SPADCALL |n| (|getShellEntry| $ 64))
(CONS 0 (|spadConstant| $ 21)))
((SPADCALL (|spadConstant| $ 10) |n| (|getShellEntry| $ 15))
(CONS 0 (SPADCALL |n| (|getShellEntry| $ 18))))
('T
(CONS 0
(SPADCALL (|spadConstant| $ 21) |n| (|getShellEntry| $ 65))))))
(DEFUN |INS-;patternMatch;SP2Pmr;24| (|x| |p| |l| $)
(SPADCALL |x| |p| |l| (|getShellEntry| $ 70)))
(DEFUN |INS-;rational;SF;25| (|x| $)
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 28))
(|getShellEntry| $ 74)))
(DEFUN |INS-;rationalIfCan;SU;26| (|x| $)
(CONS 0
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 28))
(|getShellEntry| $ 74))))
(DEFUN |INS-;symmetricRemainder;3S;27| (|x| |n| $)
(PROG (|r|)
(RETURN
(SEQ (LETT |r| (SPADCALL |x| |n| (|getShellEntry| $ 78))
|INS-;symmetricRemainder;3S;27|)
(EXIT (COND
((SPADCALL |r| (|spadConstant| $ 10)
(|getShellEntry| $ 26))
|r|)
('T
(SEQ (COND
((SPADCALL |n| (|spadConstant| $ 10)
(|getShellEntry| $ 15))
(LETT |n|
(SPADCALL |n| (|getShellEntry| $ 18))
|INS-;symmetricRemainder;3S;27|)))
(EXIT (COND
((SPADCALL (|spadConstant| $ 10) |r|
(|getShellEntry| $ 15))
(COND
((SPADCALL |n|
(SPADCALL 2 |r|
(|getShellEntry| $ 80))
(|getShellEntry| $ 15))
(SPADCALL |r| |n|
(|getShellEntry| $ 65)))
('T |r|)))
((NOT (SPADCALL (|spadConstant| $ 10)
(SPADCALL
(SPADCALL 2 |r|
(|getShellEntry| $ 80))
|n| (|getShellEntry| $ 81))
(|getShellEntry| $ 15)))
(SPADCALL |r| |n|
(|getShellEntry| $ 81)))
('T |r|)))))))))))
(DEFUN |INS-;invmod;3S;28| (|a| |b| $)
(PROG (|q| |r| |r1| |c| |c1| |d| |d1|)
(RETURN
(SEQ (COND
((SPADCALL |a| (|getShellEntry| $ 83))
(LETT |a| (SPADCALL |a| |b| (|getShellEntry| $ 84))
|INS-;invmod;3S;28|)))
(LETT |c| |a| |INS-;invmod;3S;28|)
(LETT |c1| (|spadConstant| $ 21) |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| $ 64))))
(GO G191)))
(SEQ (LETT |q|
(SPADCALL |c| |d| (|getShellEntry| $ 85))
|INS-;invmod;3S;28|)
(LETT |r|
(SPADCALL |c|
(SPADCALL |q| |d|
(|getShellEntry| $ 86))
(|getShellEntry| $ 65))
|INS-;invmod;3S;28|)
(LETT |r1|
(SPADCALL |c1|
(SPADCALL |q| |d1|
(|getShellEntry| $ 86))
(|getShellEntry| $ 65))
|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| $ 87)))
(EXIT (|error| "inverse does not exist"))))
(EXIT (COND
((SPADCALL |c1| (|getShellEntry| $ 83))
(SPADCALL |c1| |b| (|getShellEntry| $ 81)))
('T |c1|)))))))
(DEFUN |INS-;powmod;4S;29| (|x| |n| |p| $)
(PROG (|y| #0=#:G1484 |z|)
(RETURN
(SEQ (EXIT (SEQ (COND
((SPADCALL |x| (|getShellEntry| $ 83))
(LETT |x|
(SPADCALL |x| |p|
(|getShellEntry| $ 84))
|INS-;powmod;4S;29|)))
(EXIT (COND
((SPADCALL |x| (|getShellEntry| $ 64))
(|spadConstant| $ 10))
((SPADCALL |n| (|getShellEntry| $ 64))
(|spadConstant| $ 21))
('T
(SEQ (LETT |y| (|spadConstant| $ 21)
|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| $ 89))
|INS-;powmod;4S;29|)))
(EXIT
(COND
((SPADCALL
(LETT |n|
(SPADCALL |n|
(SPADCALL
(|spadConstant| $ 21)
(|getShellEntry| $ 18))
(|getShellEntry| $ 19))
|INS-;powmod;4S;29|)
(|getShellEntry| $ 64))
(PROGN
(LETT #0# |y|
|INS-;powmod;4S;29|)
(GO #0#)))
('T
(LETT |z|
(SPADCALL |z| |z| |p|
(|getShellEntry| $ 89))
|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| 91) . #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?|)
|INS-;even?;SB;3| (13 . <) |INS-;positive?;SB;4|
|INS-;copy;2S;5| (19 . -) (24 . |shift|) |INS-;bit?;2SB;6|
(30 . |One|) (34 . |dec|) |INS-;mask;2S;7| (39 . |true|)
|INS-;rational?;SB;8| (43 . =) (|Integer|)
(49 . |convert|) (54 . -) |INS-;euclideanSize;SNni;9|
(|Float|) (59 . |coerce|) |INS-;convert;SF;10|
(|DoubleFloat|) (64 . |coerce|) |INS-;convert;SDf;11|
(|InputForm|) (69 . |convert|) |INS-;convert;SIf;12|
|INS-;retract;SI;13| (|Pattern| 27) (74 . |coerce|)
|INS-;convert;SP;14| (|Factored| 6)
(|IntegerFactorizationPackage| 6) (79 . |factor|)
(|Factored| $) |INS-;factor;SF;15| (84 . |squareFree|)
|INS-;squareFree;SF;16| (|IntegerPrimesPackage| 6)
(89 . |prime?|) |INS-;prime?;SB;17|
(|IntegerCombinatoricFunctions| 6) (94 . |factorial|)
|INS-;factorial;2S;18| (99 . |binomial|)
|INS-;binomial;3S;19| (105 . |permutation|)
|INS-;permutation;3S;20| (|Union| 27 '"failed")
|INS-;retractIfCan;SU;21| |INS-;init;S;22| (111 . |zero?|)
(116 . -) (|Union| $ '"failed") |INS-;nextItem;SU;23|
(|PatternMatchResult| 27 6)
(|PatternMatchIntegerNumberSystem| 6)
(122 . |patternMatch|) (|PatternMatchResult| 27 $)
|INS-;patternMatch;SP2Pmr;24| (|Fraction| 27)
(129 . |coerce|) |INS-;rational;SF;25|
(|Union| 73 '"failed") |INS-;rationalIfCan;SU;26|
(134 . |rem|) (|PositiveInteger|) (140 . *) (146 . +)
|INS-;symmetricRemainder;3S;27| (152 . |negative?|)
(157 . |positiveRemainder|) (163 . |quo|) (169 . *)
(175 . |one?|) |INS-;invmod;3S;28| (180 . |mulmod|)
|INS-;powmod;4S;29|)
'#(|symmetricRemainder| 187 |squareFree| 193 |retractIfCan|
198 |retract| 203 |rationalIfCan| 208 |rational?| 213
|rational| 218 |prime?| 223 |powmod| 228 |positive?| 235
|permutation| 240 |patternMatch| 246 |nextItem| 253 |mask|
258 |invmod| 263 |init| 269 |factorial| 273 |factor| 278
|even?| 283 |euclideanSize| 288 |differentiate| 293 |copy|
298 |convert| 303 |characteristic| 323 |bit?| 327
|binomial| 333)
'NIL
(CONS (|makeByteWordVec2| 1 'NIL)
(CONS '#()
(CONS '#()
(|makeByteWordVec2| 90
'(0 7 0 8 0 6 0 10 1 6 12 0 13 2 6 12 0
0 15 1 6 0 0 18 2 6 0 0 0 19 0 6 0 21
1 6 0 0 22 0 12 0 24 2 6 12 0 0 26 1
6 27 0 28 1 27 0 0 29 1 31 0 27 32 1
34 0 27 35 1 37 0 27 38 1 41 0 27 42
1 45 44 6 46 1 45 44 6 49 1 51 12 6
52 1 54 6 6 55 2 54 6 6 6 57 2 54 6 6
6 59 1 6 12 0 64 2 6 0 0 0 65 3 69 68
6 41 68 70 1 73 0 27 74 2 6 0 0 0 78
2 6 0 79 0 80 2 6 0 0 0 81 1 6 12 0
83 2 6 0 0 0 84 2 6 0 0 0 85 2 6 0 0
0 86 1 6 12 0 87 3 6 0 0 0 0 89 2 0 0
0 0 82 1 0 47 0 50 1 0 61 0 62 1 0 27
0 40 1 0 76 0 77 1 0 12 0 25 1 0 73 0
75 1 0 12 0 53 3 0 0 0 0 0 90 1 0 12
0 16 2 0 0 0 0 60 3 0 71 0 41 71 72 1
0 66 0 67 1 0 0 0 23 2 0 0 0 0 88 0 0
0 63 1 0 0 0 56 1 0 47 0 48 1 0 12 0
14 1 0 7 0 30 1 0 0 0 11 1 0 0 0 17 1
0 34 0 36 1 0 31 0 33 1 0 41 0 43 1 0
37 0 39 0 0 7 9 2 0 12 0 0 20 2 0 0 0
0 58)))))
'|lookupComplete|))
|
