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|
(/VERSIONCHECK 2)
(PUT '|INS-;characteristic;Nni;1| '|SPADreplace| '(XLAM NIL 0))
(DEFUN |INS-;characteristic;Nni;1| ($) 0)
(DEFUN |INS-;differentiate;2S;2| (|x| $) (|spadConstant| $ 9))
(DEFUN |INS-;even?;SB;3| (|x| $)
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 12))
(|getShellEntry| $ 13)))
(DEFUN |INS-;positive?;SB;4| (|x| $)
(SPADCALL (|spadConstant| $ 9) |x| (|getShellEntry| $ 15)))
(PUT '|INS-;copy;2S;5| '|SPADreplace| '(XLAM (|x|) |x|))
(DEFUN |INS-;copy;2S;5| (|x| $) |x|)
(DEFUN |INS-;bit?;2SB;6| (|x| |i| $)
(SPADCALL
(SPADCALL |x| (SPADCALL |i| (|getShellEntry| $ 18))
(|getShellEntry| $ 19))
(|getShellEntry| $ 12)))
(DEFUN |INS-;mask;2S;7| (|n| $)
(SPADCALL (SPADCALL (|spadConstant| $ 21) |n| (|getShellEntry| $ 19))
(|getShellEntry| $ 22)))
(PUT '|INS-;rational?;SB;8| '|SPADreplace| '(XLAM (|x|) 'T))
(DEFUN |INS-;rational?;SB;8| (|x| $) 'T)
(DEFUN |INS-;euclideanSize;SNni;9| (|x| $)
(PROG (#0=#:G1421 #1=#:G1422)
(RETURN
(COND
((SPADCALL |x| (|spadConstant| $ 9) (|getShellEntry| $ 25))
(|error| "euclideanSize called on zero"))
((SPADCALL |x| (|spadConstant| $ 9) (|getShellEntry| $ 15))
(PROG1 (LETT #0# (- (SPADCALL |x| (|getShellEntry| $ 27)))
|INS-;euclideanSize;SNni;9|)
(|check-subtype| (>= #0# 0) '(|NonNegativeInteger|) #0#)))
('T
(PROG1 (LETT #1# (SPADCALL |x| (|getShellEntry| $ 27))
|INS-;euclideanSize;SNni;9|)
(|check-subtype| (>= #1# 0) '(|NonNegativeInteger|) #1#)))))))
(DEFUN |INS-;convert;SF;10| (|x| $)
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 27))
(|getShellEntry| $ 30)))
(DEFUN |INS-;convert;SDf;11| (|x| $)
(FLOAT (SPADCALL |x| (|getShellEntry| $ 27)) |$DoubleFloatMaximum|))
(DEFUN |INS-;convert;SIf;12| (|x| $)
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 27))
(|getShellEntry| $ 35)))
(DEFUN |INS-;retract;SI;13| (|x| $)
(SPADCALL |x| (|getShellEntry| $ 27)))
(DEFUN |INS-;convert;SP;14| (|x| $)
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 27))
(|getShellEntry| $ 39)))
(DEFUN |INS-;factor;SF;15| (|x| $)
(SPADCALL |x| (|getShellEntry| $ 43)))
(DEFUN |INS-;squareFree;SF;16| (|x| $)
(SPADCALL |x| (|getShellEntry| $ 46)))
(DEFUN |INS-;prime?;SB;17| (|x| $)
(SPADCALL |x| (|getShellEntry| $ 49)))
(DEFUN |INS-;factorial;2S;18| (|x| $)
(SPADCALL |x| (|getShellEntry| $ 52)))
(DEFUN |INS-;binomial;3S;19| (|n| |m| $)
(SPADCALL |n| |m| (|getShellEntry| $ 54)))
(DEFUN |INS-;permutation;3S;20| (|n| |m| $)
(SPADCALL |n| |m| (|getShellEntry| $ 56)))
(DEFUN |INS-;retractIfCan;SU;21| (|x| $)
(CONS 0 (SPADCALL |x| (|getShellEntry| $ 27))))
(DEFUN |INS-;init;S;22| ($) (|spadConstant| $ 9))
(DEFUN |INS-;nextItem;SU;23| (|n| $)
(COND
((SPADCALL |n| (|getShellEntry| $ 61))
(CONS 0 (|spadConstant| $ 21)))
((SPADCALL (|spadConstant| $ 9) |n| (|getShellEntry| $ 15))
(CONS 0 (SPADCALL |n| (|getShellEntry| $ 18))))
('T
(CONS 0
(SPADCALL (|spadConstant| $ 21) |n| (|getShellEntry| $ 62))))))
(DEFUN |INS-;patternMatch;SP2Pmr;24| (|x| |p| |l| $)
(SPADCALL |x| |p| |l| (|getShellEntry| $ 67)))
(DEFUN |INS-;rational;SF;25| (|x| $)
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 27))
(|getShellEntry| $ 71)))
(DEFUN |INS-;rationalIfCan;SU;26| (|x| $)
(CONS 0
(SPADCALL (SPADCALL |x| (|getShellEntry| $ 27))
(|getShellEntry| $ 71))))
(DEFUN |INS-;symmetricRemainder;3S;27| (|x| |n| $)
(PROG (|r|)
(RETURN
(SEQ (LETT |r| (SPADCALL |x| |n| (|getShellEntry| $ 75))
|INS-;symmetricRemainder;3S;27|)
(EXIT (COND
((SPADCALL |r| (|spadConstant| $ 9)
(|getShellEntry| $ 25))
|r|)
('T
(SEQ (COND
((SPADCALL |n| (|spadConstant| $ 9)
(|getShellEntry| $ 15))
(LETT |n|
(SPADCALL |n| (|getShellEntry| $ 18))
|INS-;symmetricRemainder;3S;27|)))
(EXIT (COND
((SPADCALL (|spadConstant| $ 9) |r|
(|getShellEntry| $ 15))
(COND
((SPADCALL |n|
(SPADCALL 2 |r|
(|getShellEntry| $ 77))
(|getShellEntry| $ 15))
(SPADCALL |r| |n|
(|getShellEntry| $ 62)))
('T |r|)))
((NULL (SPADCALL (|spadConstant| $ 9)
(SPADCALL
(SPADCALL 2 |r|
(|getShellEntry| $ 77))
|n| (|getShellEntry| $ 78))
(|getShellEntry| $ 15)))
(SPADCALL |r| |n|
(|getShellEntry| $ 78)))
('T |r|)))))))))))
(DEFUN |INS-;invmod;3S;28| (|a| |b| $)
(PROG (|q| |r| |r1| |c| |c1| |d| |d1|)
(RETURN
(SEQ (COND
((SPADCALL |a| (|getShellEntry| $ 80))
(LETT |a| (SPADCALL |a| |b| (|getShellEntry| $ 81))
|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| $ 9) |INS-;invmod;3S;28|)
(SEQ G190
(COND
((NULL (SPADCALL
(SPADCALL |d| (|getShellEntry| $ 61))
(|getShellEntry| $ 13)))
(GO G191)))
(SEQ (LETT |q|
(SPADCALL |c| |d| (|getShellEntry| $ 82))
|INS-;invmod;3S;28|)
(LETT |r|
(SPADCALL |c|
(SPADCALL |q| |d|
(|getShellEntry| $ 83))
(|getShellEntry| $ 62))
|INS-;invmod;3S;28|)
(LETT |r1|
(SPADCALL |c1|
(SPADCALL |q| |d1|
(|getShellEntry| $ 83))
(|getShellEntry| $ 62))
|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))
(EXIT (COND
((SPADCALL |c| (|spadConstant| $ 21)
(|getShellEntry| $ 25))
(COND
((SPADCALL |c1| (|getShellEntry| $ 80))
(SPADCALL |c1| |b| (|getShellEntry| $ 78)))
('T |c1|)))
('T (|error| "inverse does not exist"))))))))
(DEFUN |INS-;powmod;4S;29| (|x| |n| |p| $)
(PROG (|y| #0=#:G1479 |z|)
(RETURN
(SEQ (EXIT (SEQ (COND
((SPADCALL |x| (|getShellEntry| $ 80))
(LETT |x|
(SPADCALL |x| |p|
(|getShellEntry| $ 81))
|INS-;powmod;4S;29|)))
(EXIT (COND
((SPADCALL |x| (|getShellEntry| $ 61))
(|spadConstant| $ 9))
((SPADCALL |n| (|getShellEntry| $ 61))
(|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| $ 12))
(LETT |y|
(SPADCALL |y| |z| |p|
(|getShellEntry| $ 85))
|INS-;powmod;4S;29|)))
(EXIT
(COND
((SPADCALL
(LETT |n|
(SPADCALL |n|
(SPADCALL
(|spadConstant| $ 21)
(|getShellEntry| $ 18))
(|getShellEntry| $ 19))
|INS-;powmod;4S;29|)
(|getShellEntry| $ 61))
(PROGN
(LETT #0# |y|
|INS-;powmod;4S;29|)
(GO #0#)))
('T
(LETT |z|
(SPADCALL |z| |z| |p|
(|getShellEntry| $ 85))
|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| 87) . #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|) |INS-;characteristic;Nni;1|
(0 . |Zero|) |INS-;differentiate;2S;2| (|Boolean|)
(4 . |odd?|) (9 . |not|) |INS-;even?;SB;3| (14 . <)
|INS-;positive?;SB;4| |INS-;copy;2S;5| (20 . -)
(25 . |shift|) |INS-;bit?;2SB;6| (31 . |One|) (35 . |dec|)
|INS-;mask;2S;7| |INS-;rational?;SB;8| (40 . =)
(|Integer|) (46 . |convert|) |INS-;euclideanSize;SNni;9|
(|Float|) (51 . |coerce|) |INS-;convert;SF;10|
(|DoubleFloat|) |INS-;convert;SDf;11| (|InputForm|)
(56 . |convert|) |INS-;convert;SIf;12|
|INS-;retract;SI;13| (|Pattern| 26) (61 . |coerce|)
|INS-;convert;SP;14| (|Factored| 6)
(|IntegerFactorizationPackage| 6) (66 . |factor|)
(|Factored| $) |INS-;factor;SF;15| (71 . |squareFree|)
|INS-;squareFree;SF;16| (|IntegerPrimesPackage| 6)
(76 . |prime?|) |INS-;prime?;SB;17|
(|IntegerCombinatoricFunctions| 6) (81 . |factorial|)
|INS-;factorial;2S;18| (86 . |binomial|)
|INS-;binomial;3S;19| (92 . |permutation|)
|INS-;permutation;3S;20| (|Union| 26 '"failed")
|INS-;retractIfCan;SU;21| |INS-;init;S;22| (98 . |zero?|)
(103 . -) (|Union| $ '"failed") |INS-;nextItem;SU;23|
(|PatternMatchResult| 26 6)
(|PatternMatchIntegerNumberSystem| 6)
(109 . |patternMatch|) (|PatternMatchResult| 26 $)
|INS-;patternMatch;SP2Pmr;24| (|Fraction| 26)
(116 . |coerce|) |INS-;rational;SF;25|
(|Union| 70 '"failed") |INS-;rationalIfCan;SU;26|
(121 . |rem|) (|PositiveInteger|) (127 . *) (133 . +)
|INS-;symmetricRemainder;3S;27| (139 . |negative?|)
(144 . |positiveRemainder|) (150 . |quo|) (156 . *)
|INS-;invmod;3S;28| (162 . |mulmod|) |INS-;powmod;4S;29|)
'#(|symmetricRemainder| 169 |squareFree| 175 |retractIfCan|
180 |retract| 185 |rationalIfCan| 190 |rational?| 195
|rational| 200 |prime?| 205 |powmod| 210 |positive?| 217
|permutation| 222 |patternMatch| 228 |nextItem| 235 |mask|
240 |invmod| 245 |init| 251 |factorial| 255 |factor| 260
|even?| 265 |euclideanSize| 270 |differentiate| 275 |copy|
280 |convert| 285 |characteristic| 305 |bit?| 309
|binomial| 315)
'NIL
(CONS (|makeByteWordVec2| 1 'NIL)
(CONS '#()
(CONS '#()
(|makeByteWordVec2| 86
'(0 6 0 9 1 6 11 0 12 1 11 0 0 13 2 6
11 0 0 15 1 6 0 0 18 2 6 0 0 0 19 0 6
0 21 1 6 0 0 22 2 6 11 0 0 25 1 6 26
0 27 1 29 0 26 30 1 34 0 26 35 1 38 0
26 39 1 42 41 6 43 1 42 41 6 46 1 48
11 6 49 1 51 6 6 52 2 51 6 6 6 54 2
51 6 6 6 56 1 6 11 0 61 2 6 0 0 0 62
3 66 65 6 38 65 67 1 70 0 26 71 2 6 0
0 0 75 2 6 0 76 0 77 2 6 0 0 0 78 1 6
11 0 80 2 6 0 0 0 81 2 6 0 0 0 82 2 6
0 0 0 83 3 6 0 0 0 0 85 2 0 0 0 0 79
1 0 44 0 47 1 0 58 0 59 1 0 26 0 37 1
0 73 0 74 1 0 11 0 24 1 0 70 0 72 1 0
11 0 50 3 0 0 0 0 0 86 1 0 11 0 16 2
0 0 0 0 57 3 0 68 0 38 68 69 1 0 63 0
64 1 0 0 0 23 2 0 0 0 0 84 0 0 0 60 1
0 0 0 53 1 0 44 0 45 1 0 11 0 14 1 0
7 0 28 1 0 0 0 10 1 0 0 0 17 1 0 32 0
33 1 0 29 0 31 1 0 38 0 40 1 0 34 0
36 0 0 7 8 2 0 11 0 0 20 2 0 0 0 0
55)))))
'|lookupComplete|))
(SETQ |$CategoryFrame|
(|put| '|IntegerNumberSystem&| '|isFunctor|
'(((|invmod| ($ $ $)) T (ELT $ 84))
((|powmod| ($ $ $ $)) T (ELT $ 86))
((|mask| ($ $)) T (ELT $ 23))
((|copy| ($ $)) T (ELT $ 17))
((|rationalIfCan|
((|Union| (|Fraction| (|Integer|)) "failed") $))
T (ELT $ 74))
((|rational| ((|Fraction| (|Integer|)) $)) T (ELT $ 72))
((|rational?| ((|Boolean|) $)) T (ELT $ 24))
((|symmetricRemainder| ($ $ $)) T (ELT $ 79))
((|bit?| ((|Boolean|) $ $)) T (ELT $ 20))
((|even?| ((|Boolean|) $)) T (ELT $ 14))
((|init| ($)) T (ELT $ 60))
((|nextItem| ((|Union| $ "failed") $)) T (ELT $ 64))
((|convert| ((|DoubleFloat|) $)) T (ELT $ 33))
((|convert| ((|Float|) $)) T (ELT $ 31))
((|permutation| ($ $ $)) T (ELT $ 57))
((|factorial| ($ $)) T (ELT $ 53))
((|binomial| ($ $ $)) T (ELT $ 55))
((|patternMatch|
((|PatternMatchResult| (|Integer|) $) $
(|Pattern| (|Integer|))
(|PatternMatchResult| (|Integer|) $)))
T (ELT $ 69))
((|convert| ((|Pattern| (|Integer|)) $)) T (ELT $ 40))
((|convert| ((|InputForm|) $)) T (ELT $ 36))
((|retract| ((|Integer|) $)) T (ELT $ 37))
((|retractIfCan| ((|Union| (|Integer|) "failed") $)) T
(ELT $ 59))
((|convert| ((|Integer|) $)) T (ELT $ NIL))
((|differentiate| ($ $)) T (ELT $ 10))
((|differentiate| ($ $ (|NonNegativeInteger|))) T
(ELT $ NIL))
((|positive?| ((|Boolean|) $)) T (ELT $ 16))
((|euclideanSize| ((|NonNegativeInteger|) $)) T
(ELT $ 28))
((|factor| ((|Factored| $) $)) T (ELT $ 45))
((|squareFree| ((|Factored| $) $)) T (ELT $ 47))
((|prime?| ((|Boolean|) $)) T (ELT $ 50))
((|characteristic| ((|NonNegativeInteger|))) T
(ELT $ 8)))
(|addModemap| '|IntegerNumberSystem&|
'(|IntegerNumberSystem&| |#1|)
'((CATEGORY |domain|
(SIGNATURE |invmod| (|#1| |#1| |#1|))
(SIGNATURE |powmod| (|#1| |#1| |#1| |#1|))
(SIGNATURE |mask| (|#1| |#1|))
(SIGNATURE |copy| (|#1| |#1|))
(SIGNATURE |rationalIfCan|
((|Union| (|Fraction| (|Integer|)) "failed")
|#1|))
(SIGNATURE |rational|
((|Fraction| (|Integer|)) |#1|))
(SIGNATURE |rational?| ((|Boolean|) |#1|))
(SIGNATURE |symmetricRemainder|
(|#1| |#1| |#1|))
(SIGNATURE |bit?| ((|Boolean|) |#1| |#1|))
(SIGNATURE |even?| ((|Boolean|) |#1|))
(SIGNATURE |init| (|#1|))
(SIGNATURE |nextItem|
((|Union| |#1| "failed") |#1|))
(SIGNATURE |convert| ((|DoubleFloat|) |#1|))
(SIGNATURE |convert| ((|Float|) |#1|))
(SIGNATURE |permutation| (|#1| |#1| |#1|))
(SIGNATURE |factorial| (|#1| |#1|))
(SIGNATURE |binomial| (|#1| |#1| |#1|))
(SIGNATURE |patternMatch|
((|PatternMatchResult| (|Integer|) |#1|)
|#1| (|Pattern| (|Integer|))
(|PatternMatchResult| (|Integer|) |#1|)))
(SIGNATURE |convert|
((|Pattern| (|Integer|)) |#1|))
(SIGNATURE |convert| ((|InputForm|) |#1|))
(SIGNATURE |retract| ((|Integer|) |#1|))
(SIGNATURE |retractIfCan|
((|Union| (|Integer|) "failed") |#1|))
(SIGNATURE |convert| ((|Integer|) |#1|))
(SIGNATURE |differentiate| (|#1| |#1|))
(SIGNATURE |differentiate|
(|#1| |#1| (|NonNegativeInteger|)))
(SIGNATURE |positive?| ((|Boolean|) |#1|))
(SIGNATURE |euclideanSize|
((|NonNegativeInteger|) |#1|))
(SIGNATURE |factor| ((|Factored| |#1|) |#1|))
(SIGNATURE |squareFree|
((|Factored| |#1|) |#1|))
(SIGNATURE |prime?| ((|Boolean|) |#1|))
(SIGNATURE |characteristic|
((|NonNegativeInteger|))))
(|IntegerNumberSystem|))
T '|IntegerNumberSystem&|
(|put| '|IntegerNumberSystem&| '|mode|
'(|Mapping|
(CATEGORY |domain|
(SIGNATURE |invmod| (|#1| |#1| |#1|))
(SIGNATURE |powmod|
(|#1| |#1| |#1| |#1|))
(SIGNATURE |mask| (|#1| |#1|))
(SIGNATURE |copy| (|#1| |#1|))
(SIGNATURE |rationalIfCan|
((|Union| (|Fraction| (|Integer|))
"failed")
|#1|))
(SIGNATURE |rational|
((|Fraction| (|Integer|)) |#1|))
(SIGNATURE |rational?|
((|Boolean|) |#1|))
(SIGNATURE |symmetricRemainder|
(|#1| |#1| |#1|))
(SIGNATURE |bit?|
((|Boolean|) |#1| |#1|))
(SIGNATURE |even?| ((|Boolean|) |#1|))
(SIGNATURE |init| (|#1|))
(SIGNATURE |nextItem|
((|Union| |#1| "failed") |#1|))
(SIGNATURE |convert|
((|DoubleFloat|) |#1|))
(SIGNATURE |convert| ((|Float|) |#1|))
(SIGNATURE |permutation|
(|#1| |#1| |#1|))
(SIGNATURE |factorial| (|#1| |#1|))
(SIGNATURE |binomial|
(|#1| |#1| |#1|))
(SIGNATURE |patternMatch|
((|PatternMatchResult| (|Integer|)
|#1|)
|#1| (|Pattern| (|Integer|))
(|PatternMatchResult| (|Integer|)
|#1|)))
(SIGNATURE |convert|
((|Pattern| (|Integer|)) |#1|))
(SIGNATURE |convert|
((|InputForm|) |#1|))
(SIGNATURE |retract|
((|Integer|) |#1|))
(SIGNATURE |retractIfCan|
((|Union| (|Integer|) "failed")
|#1|))
(SIGNATURE |convert|
((|Integer|) |#1|))
(SIGNATURE |differentiate|
(|#1| |#1|))
(SIGNATURE |differentiate|
(|#1| |#1| (|NonNegativeInteger|)))
(SIGNATURE |positive?|
((|Boolean|) |#1|))
(SIGNATURE |euclideanSize|
((|NonNegativeInteger|) |#1|))
(SIGNATURE |factor|
((|Factored| |#1|) |#1|))
(SIGNATURE |squareFree|
((|Factored| |#1|) |#1|))
(SIGNATURE |prime?|
((|Boolean|) |#1|))
(SIGNATURE |characteristic|
((|NonNegativeInteger|))))
(|IntegerNumberSystem|))
|$CategoryFrame|))))
|
