aboutsummaryrefslogtreecommitdiff
path: root/src/algebra/si.spad.pamphlet
diff options
context:
space:
mode:
authordos-reis <gdr@axiomatics.org>2008-04-14 02:49:24 +0000
committerdos-reis <gdr@axiomatics.org>2008-04-14 02:49:24 +0000
commitd04a3262a6f4493bd65c45ff73b4d1b8243f47a0 (patch)
tree8b3f5df0e9c1e2474b39073e9785b407597d7285 /src/algebra/si.spad.pamphlet
parent1d44d2feb01bc10dcc8690c4f71a3157b07502bc (diff)
downloadopen-axiom-d04a3262a6f4493bd65c45ff73b4d1b8243f47a0.tar.gz
Update cached Lisp translation.
Diffstat (limited to 'src/algebra/si.spad.pamphlet')
-rw-r--r--src/algebra/si.spad.pamphlet987
1 files changed, 396 insertions, 591 deletions
diff --git a/src/algebra/si.spad.pamphlet b/src/algebra/si.spad.pamphlet
index 657586f6..e078bbb9 100644
--- a/src/algebra/si.spad.pamphlet
+++ b/src/algebra/si.spad.pamphlet
@@ -750,672 +750,477 @@ SingleInteger(): Join(IntegerNumberSystem,Logic,OpenMath) with
)bo $noSubsets := false
@
+
\section{SINT.lsp BOOTSTRAP}
+
<<SINT.lsp BOOTSTRAP>>=
(/VERSIONCHECK 2)
-(DEFUN |SINT;writeOMSingleInt| (|dev| |x| $)
- (SEQ
- (COND
- ((QSLESSP |x| 0)
- (SEQ
- (SPADCALL |dev| (QREFELT $ 9))
- (SPADCALL |dev| "arith1" "unaryminus" (QREFELT $ 11))
- (SPADCALL |dev| (QSMINUS |x|) (QREFELT $ 13))
- (EXIT (SPADCALL |dev| (QREFELT $ 14)))))
- ((QUOTE T) (SPADCALL |dev| |x| (QREFELT $ 13))))))
-
-(DEFUN |SINT;OMwrite;$S;2| (|x| $)
- (PROG (|sp| |dev| |s|)
- (RETURN
- (SEQ
- (LETT |s| "" |SINT;OMwrite;$S;2|)
- (LETT |sp| (OM-STRINGTOSTRINGPTR |s|) |SINT;OMwrite;$S;2|)
- (LETT |dev|
- (SPADCALL |sp| (SPADCALL (QREFELT $ 16)) (QREFELT $ 17))
- |SINT;OMwrite;$S;2|)
- (SPADCALL |dev| (QREFELT $ 18))
- (|SINT;writeOMSingleInt| |dev| |x| $)
- (SPADCALL |dev| (QREFELT $ 19))
- (SPADCALL |dev| (QREFELT $ 20))
- (LETT |s| (OM-STRINGPTRTOSTRING |sp|) |SINT;OMwrite;$S;2|)
- (EXIT |s|)))))
-
-(DEFUN |SINT;OMwrite;$BS;3| (|x| |wholeObj| $)
- (PROG (|sp| |dev| |s|)
- (RETURN
- (SEQ
- (LETT |s| "" |SINT;OMwrite;$BS;3|)
- (LETT |sp| (OM-STRINGTOSTRINGPTR |s|) |SINT;OMwrite;$BS;3|)
- (LETT |dev|
- (SPADCALL |sp| (SPADCALL (QREFELT $ 16)) (QREFELT $ 17))
- |SINT;OMwrite;$BS;3|)
- (COND (|wholeObj| (SPADCALL |dev| (QREFELT $ 18))))
- (|SINT;writeOMSingleInt| |dev| |x| $)
- (COND (|wholeObj| (SPADCALL |dev| (QREFELT $ 19))))
- (SPADCALL |dev| (QREFELT $ 20))
- (LETT |s| (OM-STRINGPTRTOSTRING |sp|) |SINT;OMwrite;$BS;3|)
- (EXIT |s|)))))
-
-(DEFUN |SINT;OMwrite;Omd$V;4| (|dev| |x| $)
- (SEQ
- (SPADCALL |dev| (QREFELT $ 18))
- (|SINT;writeOMSingleInt| |dev| |x| $)
- (EXIT (SPADCALL |dev| (QREFELT $ 19)))))
-
-(DEFUN |SINT;OMwrite;Omd$BV;5| (|dev| |x| |wholeObj| $)
- (SEQ
- (COND (|wholeObj| (SPADCALL |dev| (QREFELT $ 18))))
- (|SINT;writeOMSingleInt| |dev| |x| $)
- (EXIT (COND (|wholeObj| (SPADCALL |dev| (QREFELT $ 19)))))))
-
-(PUT
- (QUOTE |SINT;reducedSystem;MM;6|)
- (QUOTE |SPADreplace|)
- (QUOTE (XLAM (|m|) |m|)))
+(DEFUN |SINT;writeOMSingleInt| (|dev| |x| $)
+ (SEQ (COND
+ ((QSLESSP |x| 0)
+ (SEQ (SPADCALL |dev| (|getShellEntry| $ 9))
+ (SPADCALL |dev| "arith1" "unaryminus"
+ (|getShellEntry| $ 11))
+ (SPADCALL |dev| (QSMINUS |x|) (|getShellEntry| $ 13))
+ (EXIT (SPADCALL |dev| (|getShellEntry| $ 14)))))
+ ('T (SPADCALL |dev| |x| (|getShellEntry| $ 13))))))
+
+(DEFUN |SINT;OMwrite;$S;2| (|x| $)
+ (PROG (|sp| |dev| |s|)
+ (RETURN
+ (SEQ (LETT |s| "" |SINT;OMwrite;$S;2|)
+ (LETT |sp| (OM-STRINGTOSTRINGPTR |s|) |SINT;OMwrite;$S;2|)
+ (LETT |dev|
+ (SPADCALL |sp| (SPADCALL (|getShellEntry| $ 16))
+ (|getShellEntry| $ 17))
+ |SINT;OMwrite;$S;2|)
+ (SPADCALL |dev| (|getShellEntry| $ 18))
+ (|SINT;writeOMSingleInt| |dev| |x| $)
+ (SPADCALL |dev| (|getShellEntry| $ 19))
+ (SPADCALL |dev| (|getShellEntry| $ 20))
+ (LETT |s| (OM-STRINGPTRTOSTRING |sp|) |SINT;OMwrite;$S;2|)
+ (EXIT |s|)))))
+
+(DEFUN |SINT;OMwrite;$BS;3| (|x| |wholeObj| $)
+ (PROG (|sp| |dev| |s|)
+ (RETURN
+ (SEQ (LETT |s| "" |SINT;OMwrite;$BS;3|)
+ (LETT |sp| (OM-STRINGTOSTRINGPTR |s|) |SINT;OMwrite;$BS;3|)
+ (LETT |dev|
+ (SPADCALL |sp| (SPADCALL (|getShellEntry| $ 16))
+ (|getShellEntry| $ 17))
+ |SINT;OMwrite;$BS;3|)
+ (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 18))))
+ (|SINT;writeOMSingleInt| |dev| |x| $)
+ (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 19))))
+ (SPADCALL |dev| (|getShellEntry| $ 20))
+ (LETT |s| (OM-STRINGPTRTOSTRING |sp|) |SINT;OMwrite;$BS;3|)
+ (EXIT |s|)))))
+
+(DEFUN |SINT;OMwrite;Omd$V;4| (|dev| |x| $)
+ (SEQ (SPADCALL |dev| (|getShellEntry| $ 18))
+ (|SINT;writeOMSingleInt| |dev| |x| $)
+ (EXIT (SPADCALL |dev| (|getShellEntry| $ 19)))))
+
+(DEFUN |SINT;OMwrite;Omd$BV;5| (|dev| |x| |wholeObj| $)
+ (SEQ (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 18))))
+ (|SINT;writeOMSingleInt| |dev| |x| $)
+ (EXIT (COND
+ (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 19)))))))
+
+(PUT '|SINT;reducedSystem;MM;6| '|SPADreplace| '(XLAM (|m|) |m|))
(DEFUN |SINT;reducedSystem;MM;6| (|m| $) |m|)
-(DEFUN |SINT;coerce;$Of;7| (|x| $)
- (SPADCALL |x| (QREFELT $ 30)))
+(DEFUN |SINT;coerce;$Of;7| (|x| $)
+ (SPADCALL |x| (|getShellEntry| $ 30)))
-(PUT
- (QUOTE |SINT;convert;$I;8|)
- (QUOTE |SPADreplace|)
- (QUOTE (XLAM (|x|) |x|)))
+(PUT '|SINT;convert;$I;8| '|SPADreplace| '(XLAM (|x|) |x|))
(DEFUN |SINT;convert;$I;8| (|x| $) |x|)
-(DEFUN |SINT;*;I2$;9| (|i| |y| $)
- (QSTIMES (SPADCALL |i| (QREFELT $ 33)) |y|))
+(DEFUN |SINT;*;I2$;9| (|i| |y| $)
+ (QSTIMES (SPADCALL |i| (|getShellEntry| $ 33)) |y|))
-(PUT
- (QUOTE |SINT;Zero;$;10|)
- (QUOTE |SPADreplace|)
- (QUOTE (XLAM NIL 0)))
+(PUT '|SINT;Zero;$;10| '|SPADreplace| '(XLAM NIL 0))
(DEFUN |SINT;Zero;$;10| ($) 0)
-(PUT
- (QUOTE |SINT;One;$;11|)
- (QUOTE |SPADreplace|)
- (QUOTE (XLAM NIL 1)))
+(PUT '|SINT;One;$;11| '|SPADreplace| '(XLAM NIL 1))
(DEFUN |SINT;One;$;11| ($) 1)
-(PUT
- (QUOTE |SINT;base;$;12|)
- (QUOTE |SPADreplace|)
- (QUOTE (XLAM NIL 2)))
+(PUT '|SINT;base;$;12| '|SPADreplace| '(XLAM NIL 2))
(DEFUN |SINT;base;$;12| ($) 2)
-(PUT
- (QUOTE |SINT;max;$;13|)
- (QUOTE |SPADreplace|)
- (QUOTE (XLAM NIL MOST-POSITIVE-FIXNUM)))
+(PUT '|SINT;max;$;13| '|SPADreplace| '(XLAM NIL MOST-POSITIVE-FIXNUM))
(DEFUN |SINT;max;$;13| ($) MOST-POSITIVE-FIXNUM)
-(PUT
- (QUOTE |SINT;min;$;14|)
- (QUOTE |SPADreplace|)
- (QUOTE (XLAM NIL MOST-NEGATIVE-FIXNUM)))
+(PUT '|SINT;min;$;14| '|SPADreplace| '(XLAM NIL MOST-NEGATIVE-FIXNUM))
(DEFUN |SINT;min;$;14| ($) MOST-NEGATIVE-FIXNUM)
-(PUT
- (QUOTE |SINT;=;2$B;15|)
- (QUOTE |SPADreplace|)
- (QUOTE EQL))
+(PUT '|SINT;=;2$B;15| '|SPADreplace| 'EQL)
-(DEFUN |SINT;=;2$B;15| (|x| |y| $)
- (EQL |x| |y|))
+(DEFUN |SINT;=;2$B;15| (|x| |y| $) (EQL |x| |y|))
-(PUT
- (QUOTE |SINT;~;2$;16|)
- (QUOTE |SPADreplace|)
- (QUOTE LOGNOT))
+(PUT '|SINT;~;2$;16| '|SPADreplace| 'LOGNOT)
-(DEFUN |SINT;~;2$;16| (|x| $)
- (LOGNOT |x|))
+(DEFUN |SINT;~;2$;16| (|x| $) (LOGNOT |x|))
-(PUT
- (QUOTE |SINT;not;2$;17|)
- (QUOTE |SPADreplace|)
- (QUOTE LOGNOT))
+(PUT '|SINT;not;2$;17| '|SPADreplace| 'LOGNOT)
-(DEFUN |SINT;not;2$;17| (|x| $)
- (LOGNOT |x|))
+(DEFUN |SINT;not;2$;17| (|x| $) (LOGNOT |x|))
-(PUT
- (QUOTE |SINT;/\\;3$;18|)
- (QUOTE |SPADreplace|)
- (QUOTE LOGAND))
+(PUT '|SINT;/\\;3$;18| '|SPADreplace| 'LOGAND)
-(DEFUN |SINT;/\\;3$;18| (|x| |y| $)
- (LOGAND |x| |y|))
+(DEFUN |SINT;/\\;3$;18| (|x| |y| $) (LOGAND |x| |y|))
-(PUT
- (QUOTE |SINT;\\/;3$;19|)
- (QUOTE |SPADreplace|)
- (QUOTE LOGIOR))
+(PUT '|SINT;\\/;3$;19| '|SPADreplace| 'LOGIOR)
-(DEFUN |SINT;\\/;3$;19| (|x| |y| $)
- (LOGIOR |x| |y|))
+(DEFUN |SINT;\\/;3$;19| (|x| |y| $) (LOGIOR |x| |y|))
-(PUT
- (QUOTE |SINT;Not;2$;20|)
- (QUOTE |SPADreplace|)
- (QUOTE LOGNOT))
+(PUT '|SINT;Not;2$;20| '|SPADreplace| 'LOGNOT)
-(DEFUN |SINT;Not;2$;20| (|x| $)
- (LOGNOT |x|))
+(DEFUN |SINT;Not;2$;20| (|x| $) (LOGNOT |x|))
-(PUT
- (QUOTE |SINT;And;3$;21|)
- (QUOTE |SPADreplace|)
- (QUOTE LOGAND))
+(PUT '|SINT;And;3$;21| '|SPADreplace| 'LOGAND)
-(DEFUN |SINT;And;3$;21| (|x| |y| $)
- (LOGAND |x| |y|))
+(DEFUN |SINT;And;3$;21| (|x| |y| $) (LOGAND |x| |y|))
-(PUT
- (QUOTE |SINT;Or;3$;22|)
- (QUOTE |SPADreplace|)
- (QUOTE LOGIOR))
+(PUT '|SINT;Or;3$;22| '|SPADreplace| 'LOGIOR)
-(DEFUN |SINT;Or;3$;22| (|x| |y| $)
- (LOGIOR |x| |y|))
+(DEFUN |SINT;Or;3$;22| (|x| |y| $) (LOGIOR |x| |y|))
-(PUT
- (QUOTE |SINT;xor;3$;23|)
- (QUOTE |SPADreplace|)
- (QUOTE LOGXOR))
+(PUT '|SINT;xor;3$;23| '|SPADreplace| 'LOGXOR)
-(DEFUN |SINT;xor;3$;23| (|x| |y| $)
- (LOGXOR |x| |y|))
+(DEFUN |SINT;xor;3$;23| (|x| |y| $) (LOGXOR |x| |y|))
-(PUT
- (QUOTE |SINT;<;2$B;24|)
- (QUOTE |SPADreplace|)
- (QUOTE QSLESSP))
+(PUT '|SINT;<;2$B;24| '|SPADreplace| 'QSLESSP)
-(DEFUN |SINT;<;2$B;24| (|x| |y| $)
- (QSLESSP |x| |y|))
+(DEFUN |SINT;<;2$B;24| (|x| |y| $) (QSLESSP |x| |y|))
-(PUT
- (QUOTE |SINT;inc;2$;25|)
- (QUOTE |SPADreplace|)
- (QUOTE QSADD1))
+(PUT '|SINT;inc;2$;25| '|SPADreplace| 'QSADD1)
-(DEFUN |SINT;inc;2$;25| (|x| $)
- (QSADD1 |x|))
+(DEFUN |SINT;inc;2$;25| (|x| $) (QSADD1 |x|))
-(PUT
- (QUOTE |SINT;dec;2$;26|)
- (QUOTE |SPADreplace|)
- (QUOTE QSSUB1))
+(PUT '|SINT;dec;2$;26| '|SPADreplace| 'QSSUB1)
-(DEFUN |SINT;dec;2$;26| (|x| $)
- (QSSUB1 |x|))
+(DEFUN |SINT;dec;2$;26| (|x| $) (QSSUB1 |x|))
-(PUT
- (QUOTE |SINT;-;2$;27|)
- (QUOTE |SPADreplace|)
- (QUOTE QSMINUS))
+(PUT '|SINT;-;2$;27| '|SPADreplace| 'QSMINUS)
-(DEFUN |SINT;-;2$;27| (|x| $)
- (QSMINUS |x|))
+(DEFUN |SINT;-;2$;27| (|x| $) (QSMINUS |x|))
-(PUT
- (QUOTE |SINT;+;3$;28|)
- (QUOTE |SPADreplace|)
- (QUOTE QSPLUS))
+(PUT '|SINT;+;3$;28| '|SPADreplace| 'QSPLUS)
-(DEFUN |SINT;+;3$;28| (|x| |y| $)
- (QSPLUS |x| |y|))
+(DEFUN |SINT;+;3$;28| (|x| |y| $) (QSPLUS |x| |y|))
-(PUT
- (QUOTE |SINT;-;3$;29|)
- (QUOTE |SPADreplace|)
- (QUOTE QSDIFFERENCE))
+(PUT '|SINT;-;3$;29| '|SPADreplace| 'QSDIFFERENCE)
-(DEFUN |SINT;-;3$;29| (|x| |y| $)
- (QSDIFFERENCE |x| |y|))
+(DEFUN |SINT;-;3$;29| (|x| |y| $) (QSDIFFERENCE |x| |y|))
-(PUT
- (QUOTE |SINT;*;3$;30|)
- (QUOTE |SPADreplace|)
- (QUOTE QSTIMES))
+(PUT '|SINT;*;3$;30| '|SPADreplace| 'QSTIMES)
-(DEFUN |SINT;*;3$;30| (|x| |y| $)
- (QSTIMES |x| |y|))
+(DEFUN |SINT;*;3$;30| (|x| |y| $) (QSTIMES |x| |y|))
-(DEFUN |SINT;**;$Nni$;31| (|x| |n| $)
- (SPADCALL (EXPT |x| |n|) (QREFELT $ 33)))
+(DEFUN |SINT;**;$Nni$;31| (|x| |n| $)
+ (SPADCALL (EXPT |x| |n|) (|getShellEntry| $ 33)))
-(PUT
- (QUOTE |SINT;quo;3$;32|)
- (QUOTE |SPADreplace|)
- (QUOTE QSQUOTIENT))
+(PUT '|SINT;quo;3$;32| '|SPADreplace| 'QSQUOTIENT)
-(DEFUN |SINT;quo;3$;32| (|x| |y| $)
- (QSQUOTIENT |x| |y|))
+(DEFUN |SINT;quo;3$;32| (|x| |y| $) (QSQUOTIENT |x| |y|))
-(PUT
- (QUOTE |SINT;rem;3$;33|)
- (QUOTE |SPADreplace|)
- (QUOTE QSREMAINDER))
+(PUT '|SINT;rem;3$;33| '|SPADreplace| 'QSREMAINDER)
-(DEFUN |SINT;rem;3$;33| (|x| |y| $)
- (QSREMAINDER |x| |y|))
+(DEFUN |SINT;rem;3$;33| (|x| |y| $) (QSREMAINDER |x| |y|))
-(DEFUN |SINT;divide;2$R;34| (|x| |y| $)
+(DEFUN |SINT;divide;2$R;34| (|x| |y| $)
(CONS (QSQUOTIENT |x| |y|) (QSREMAINDER |x| |y|)))
-(PUT (QUOTE |SINT;gcd;3$;35|)
- (QUOTE |SPADreplace|) (QUOTE GCD))
+(PUT '|SINT;gcd;3$;35| '|SPADreplace| 'GCD)
+
+(DEFUN |SINT;gcd;3$;35| (|x| |y| $) (GCD |x| |y|))
+
+(PUT '|SINT;abs;2$;36| '|SPADreplace| 'QSABSVAL)
+
+(DEFUN |SINT;abs;2$;36| (|x| $) (QSABSVAL |x|))
+
+(PUT '|SINT;odd?;$B;37| '|SPADreplace| 'QSODDP)
+
+(DEFUN |SINT;odd?;$B;37| (|x| $) (QSODDP |x|))
+
+(PUT '|SINT;zero?;$B;38| '|SPADreplace| 'QSZEROP)
+
+(DEFUN |SINT;zero?;$B;38| (|x| $) (QSZEROP |x|))
+
+(PUT '|SINT;one?;$B;39| '|SPADreplace| '(XLAM (|x|) (EQL |x| 1)))
+
+(DEFUN |SINT;one?;$B;39| (|x| $) (EQL |x| 1))
+
+(PUT '|SINT;max;3$;40| '|SPADreplace| 'QSMAX)
+
+(DEFUN |SINT;max;3$;40| (|x| |y| $) (QSMAX |x| |y|))
+
+(PUT '|SINT;min;3$;41| '|SPADreplace| 'QSMIN)
+
+(DEFUN |SINT;min;3$;41| (|x| |y| $) (QSMIN |x| |y|))
+
+(PUT '|SINT;hash;2$;42| '|SPADreplace| 'HASHEQ)
+
+(DEFUN |SINT;hash;2$;42| (|x| $) (HASHEQ |x|))
+
+(PUT '|SINT;length;2$;43| '|SPADreplace| 'INTEGER-LENGTH)
+
+(DEFUN |SINT;length;2$;43| (|x| $) (INTEGER-LENGTH |x|))
+
+(PUT '|SINT;shift;3$;44| '|SPADreplace| 'QSLEFTSHIFT)
+
+(DEFUN |SINT;shift;3$;44| (|x| |n| $) (QSLEFTSHIFT |x| |n|))
+
+(PUT '|SINT;mulmod;4$;45| '|SPADreplace| 'QSMULTMOD)
+
+(DEFUN |SINT;mulmod;4$;45| (|a| |b| |p| $) (QSMULTMOD |a| |b| |p|))
+
+(PUT '|SINT;addmod;4$;46| '|SPADreplace| 'QSADDMOD)
+
+(DEFUN |SINT;addmod;4$;46| (|a| |b| |p| $) (QSADDMOD |a| |b| |p|))
-(DEFUN |SINT;gcd;3$;35| (|x| |y| $)
- (GCD |x| |y|))
+(PUT '|SINT;submod;4$;47| '|SPADreplace| 'QSDIFMOD)
-(PUT
- (QUOTE |SINT;abs;2$;36|)
- (QUOTE |SPADreplace|)
- (QUOTE QSABSVAL))
+(DEFUN |SINT;submod;4$;47| (|a| |b| |p| $) (QSDIFMOD |a| |b| |p|))
-(DEFUN |SINT;abs;2$;36| (|x| $)
- (QSABSVAL |x|))
+(PUT '|SINT;negative?;$B;48| '|SPADreplace| 'QSMINUSP)
-(PUT
- (QUOTE |SINT;odd?;$B;37|)
- (QUOTE |SPADreplace|)
- (QUOTE QSODDP))
-
-(DEFUN |SINT;odd?;$B;37| (|x| $)
- (QSODDP |x|))
-
-(PUT
- (QUOTE |SINT;zero?;$B;38|)
- (QUOTE |SPADreplace|)
- (QUOTE QSZEROP))
-
-(DEFUN |SINT;zero?;$B;38| (|x| $)
- (QSZEROP |x|))
-
-(PUT
- (QUOTE |SINT;max;3$;39|)
- (QUOTE |SPADreplace|)
- (QUOTE QSMAX))
-
-(DEFUN |SINT;max;3$;39| (|x| |y| $)
- (QSMAX |x| |y|))
-
-(PUT
- (QUOTE |SINT;min;3$;40|)
- (QUOTE |SPADreplace|)
- (QUOTE QSMIN))
-
-(DEFUN |SINT;min;3$;40| (|x| |y| $)
- (QSMIN |x| |y|))
-
-(PUT
- (QUOTE |SINT;hash;2$;41|)
- (QUOTE |SPADreplace|)
- (QUOTE HASHEQ))
-
-(DEFUN |SINT;hash;2$;41| (|x| $)
- (HASHEQ |x|))
-
-(PUT
- (QUOTE |SINT;length;2$;42|)
- (QUOTE |SPADreplace|)
- (QUOTE INTEGER-LENGTH))
-
-(DEFUN |SINT;length;2$;42| (|x| $)
- (INTEGER-LENGTH |x|))
-
-(PUT
- (QUOTE |SINT;shift;3$;43|)
- (QUOTE |SPADreplace|)
- (QUOTE QSLEFTSHIFT))
-
-(DEFUN |SINT;shift;3$;43| (|x| |n| $)
- (QSLEFTSHIFT |x| |n|))
-
-(PUT
- (QUOTE |SINT;mulmod;4$;44|)
- (QUOTE |SPADreplace|)
- (QUOTE QSMULTMOD))
-
-(DEFUN |SINT;mulmod;4$;44| (|a| |b| |p| $)
- (QSMULTMOD |a| |b| |p|))
-
-(PUT
- (QUOTE |SINT;addmod;4$;45|)
- (QUOTE |SPADreplace|)
- (QUOTE QSADDMOD))
-
-(DEFUN |SINT;addmod;4$;45| (|a| |b| |p| $)
- (QSADDMOD |a| |b| |p|))
-
-(PUT
- (QUOTE |SINT;submod;4$;46|)
- (QUOTE |SPADreplace|)
- (QUOTE QSDIFMOD))
-
-(DEFUN |SINT;submod;4$;46| (|a| |b| |p| $)
- (QSDIFMOD |a| |b| |p|))
-
-(PUT
- (QUOTE |SINT;negative?;$B;47|)
- (QUOTE |SPADreplace|)
- (QUOTE QSMINUSP))
-
-(DEFUN |SINT;negative?;$B;47| (|x| $)
- (QSMINUSP |x|))
-
-(PUT
- (QUOTE |SINT;reducedSystem;MVR;48|)
- (QUOTE |SPADreplace|)
- (QUOTE CONS))
-
-(DEFUN |SINT;reducedSystem;MVR;48| (|m| |v| $)
- (CONS |m| |v|))
-
-(DEFUN |SINT;positiveRemainder;3$;49| (|x| |n| $)
- (PROG (|r|)
- (RETURN
- (SEQ
- (LETT |r| (QSREMAINDER |x| |n|) |SINT;positiveRemainder;3$;49|)
- (EXIT
- (COND
- ((QSMINUSP |r|)
- (COND
- ((QSMINUSP |n|) (QSDIFFERENCE |x| |n|))
- ((QUOTE T) (QSPLUS |r| |n|))))
- ((QUOTE T) |r|)))))))
-
-(DEFUN |SINT;coerce;I$;50| (|x| $)
- (SEQ
- (COND
- ((NULL (< MOST-POSITIVE-FIXNUM |x|))
- (COND ((NULL (< |x| MOST-NEGATIVE-FIXNUM)) (EXIT |x|)))))
- (EXIT (|error| "integer too large to represent in a machine word"))))
-
-(DEFUN |SINT;random;$;51| ($)
- (SEQ
- (SETELT $ 6 (REMAINDER (TIMES 314159269 (QREFELT $ 6)) 2147483647))
- (EXIT (REMAINDER (QREFELT $ 6) 67108864))))
-
-(PUT
- (QUOTE |SINT;random;2$;52|)
- (QUOTE |SPADreplace|)
- (QUOTE RANDOM))
-
-(DEFUN |SINT;random;2$;52| (|n| $)
- (RANDOM |n|))
-
-(DEFUN |SINT;unitNormal;$R;53| (|x| $)
- (COND
+(DEFUN |SINT;negative?;$B;48| (|x| $) (QSMINUSP |x|))
+
+(PUT '|SINT;reducedSystem;MVR;49| '|SPADreplace| 'CONS)
+
+(DEFUN |SINT;reducedSystem;MVR;49| (|m| |v| $) (CONS |m| |v|))
+
+(DEFUN |SINT;positiveRemainder;3$;50| (|x| |n| $)
+ (PROG (|r|)
+ (RETURN
+ (SEQ (LETT |r| (QSREMAINDER |x| |n|)
+ |SINT;positiveRemainder;3$;50|)
+ (EXIT (COND
+ ((QSMINUSP |r|)
+ (COND
+ ((QSMINUSP |n|) (QSDIFFERENCE |x| |n|))
+ ('T (QSPLUS |r| |n|))))
+ ('T |r|)))))))
+
+(DEFUN |SINT;coerce;I$;51| (|x| $)
+ (SEQ (COND
+ ((NULL (< MOST-POSITIVE-FIXNUM |x|))
+ (COND ((NULL (< |x| MOST-NEGATIVE-FIXNUM)) (EXIT |x|)))))
+ (EXIT (|error| "integer too large to represent in a machine word"))))
+
+(DEFUN |SINT;random;$;52| ($)
+ (SEQ (SETELT $ 6
+ (REMAINDER (TIMES 314159269 (|getShellEntry| $ 6))
+ 2147483647))
+ (EXIT (REMAINDER (|getShellEntry| $ 6) 67108864))))
+
+(PUT '|SINT;random;2$;53| '|SPADreplace| 'RANDOM)
+
+(DEFUN |SINT;random;2$;53| (|n| $) (RANDOM |n|))
+
+(DEFUN |SINT;unitNormal;$R;54| (|x| $)
+ (COND
((QSLESSP |x| 0) (VECTOR -1 (QSMINUS |x|) -1))
- ((QUOTE T) (VECTOR 1 |x| 1))))
-
-(DEFUN |SingleInteger| NIL
- (PROG NIL
- (RETURN
- (PROG (#0=#:G1358)
- (RETURN
- (COND
- ((LETT #0#
- (HGET |$ConstructorCache| (QUOTE |SingleInteger|))
- |SingleInteger|)
- (|CDRwithIncrement| (CDAR #0#)))
- ((QUOTE T)
- (UNWIND-PROTECT
- (PROG1
- (CDDAR
- (HPUT
- |$ConstructorCache|
- (QUOTE |SingleInteger|)
- (LIST (CONS NIL (CONS 1 (|SingleInteger;|))))))
- (LETT #0# T |SingleInteger|))
- (COND
- ((NOT #0#)
- (HREM |$ConstructorCache|
- (QUOTE |SingleInteger|))))))))))))
-
-(DEFUN |SingleInteger;| NIL
- (PROG (|dv$| $ |pv$|)
- (RETURN
- (PROGN
- (LETT |dv$| (QUOTE (|SingleInteger|)) . #0=(|SingleInteger|))
- (LETT $ (GETREFV 103) . #0#)
- (QSETREFV $ 0 |dv$|)
- (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#))
- (|haddProp| |$ConstructorCache| (QUOTE |SingleInteger|) NIL (CONS 1 $))
- (|stuffDomainSlots| $) (QSETREFV $ 6 1) $))))
-
-(MAKEPROP
- (QUOTE |SingleInteger|)
- (QUOTE |infovec|)
- (LIST
- (QUOTE
- #(NIL NIL NIL NIL NIL NIL
- (QUOTE |seed|)
- (|Void|)
- (|OpenMathDevice|)
- (0 . |OMputApp|)
- (|String|)
- (5 . |OMputSymbol|)
- (|Integer|)
- (12 . |OMputInteger|)
- (18 . |OMputEndApp|)
- (|OpenMathEncoding|)
- (23 . |OMencodingXML|)
- (27 . |OMopenString|)
- (33 . |OMputObject|)
- (38 . |OMputEndObject|)
- (43 . |OMclose|)
- |SINT;OMwrite;$S;2|
- (|Boolean|)
- |SINT;OMwrite;$BS;3|
- |SINT;OMwrite;Omd$V;4|
- |SINT;OMwrite;Omd$BV;5|
- (|Matrix| 12)
- (|Matrix| $)
- |SINT;reducedSystem;MM;6|
- (|OutputForm|)
- (48 . |coerce|)
- |SINT;coerce;$Of;7|
- |SINT;convert;$I;8|
- (53 . |coerce|)
- |SINT;*;I2$;9|
- (CONS IDENTITY (FUNCALL (|dispatchFunction| |SINT;Zero;$;10|) $))
- (CONS IDENTITY (FUNCALL (|dispatchFunction| |SINT;One;$;11|) $))
- |SINT;base;$;12|
- |SINT;max;$;13|
- |SINT;min;$;14|
- |SINT;=;2$B;15|
- |SINT;~;2$;16|
- |SINT;not;2$;17|
- |SINT;/\\;3$;18|
- |SINT;\\/;3$;19|
- |SINT;Not;2$;20|
- |SINT;And;3$;21|
- |SINT;Or;3$;22|
- |SINT;xor;3$;23|
- |SINT;<;2$B;24|
- |SINT;inc;2$;25|
- |SINT;dec;2$;26|
- |SINT;-;2$;27|
- |SINT;+;3$;28|
- |SINT;-;3$;29|
- |SINT;*;3$;30|
- (|NonNegativeInteger|)
- |SINT;**;$Nni$;31|
- |SINT;quo;3$;32|
- |SINT;rem;3$;33|
- (|Record| (|:| |quotient| $) (|:| |remainder| $))
- |SINT;divide;2$R;34|
- |SINT;gcd;3$;35|
- |SINT;abs;2$;36|
- |SINT;odd?;$B;37|
- |SINT;zero?;$B;38|
- |SINT;max;3$;39|
- |SINT;min;3$;40|
- |SINT;hash;2$;41|
- |SINT;length;2$;42|
- |SINT;shift;3$;43|
- |SINT;mulmod;4$;44|
- |SINT;addmod;4$;45|
- |SINT;submod;4$;46|
- |SINT;negative?;$B;47|
- (|Record| (|:| |mat| 26) (|:| |vec| (|Vector| 12)))
- (|Vector| $)
- |SINT;reducedSystem;MVR;48|
- |SINT;positiveRemainder;3$;49|
- |SINT;coerce;I$;50|
- |SINT;random;$;51|
- |SINT;random;2$;52|
- (|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $))
- |SINT;unitNormal;$R;53|
- (|Union| 85 (QUOTE "failed"))
- (|Fraction| 12)
- (|Union| $ (QUOTE "failed"))
- (|Float|)
- (|DoubleFloat|)
- (|Pattern| 12)
- (|PatternMatchResult| 12 $)
- (|InputForm|)
- (|Union| 12 (QUOTE "failed"))
- (|Record| (|:| |coef| 94) (|:| |generator| $))
- (|List| $)
- (|Union| 94 (QUOTE "failed"))
- (|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $))
- (|Record| (|:| |coef1| $) (|:| |coef2| $))
- (|Union| 97 (QUOTE "failed"))
- (|Factored| $)
- (|SparseUnivariatePolynomial| $)
- (|PositiveInteger|)
- (|SingleInteger|)))
- (QUOTE
- #(~= 58 ~ 64 |zero?| 69 |xor| 74 |unitNormal| 80 |unitCanonical| 85
- |unit?| 90 |symmetricRemainder| 95 |subtractIfCan| 101 |submod| 107
- |squareFreePart| 114 |squareFree| 119 |sizeLess?| 124 |sign| 130
- |shift| 135 |sample| 141 |retractIfCan| 145 |retract| 150 |rem| 155
- |reducedSystem| 161 |recip| 172 |rationalIfCan| 177 |rational?| 182
- |rational| 187 |random| 192 |quo| 201 |principalIdeal| 207
- |prime?| 212 |powmod| 217 |positiveRemainder| 224 |positive?| 230
- |permutation| 235 |patternMatch| 241 |one?| 248 |odd?| 253 |not| 258
- |nextItem| 263 |negative?| 268 |multiEuclidean| 273 |mulmod| 279
- |min| 286 |max| 296 |mask| 306 |length| 311 |lcm| 316 |latex| 327
- |invmod| 332 |init| 338 |inc| 342 |hash| 347 |gcdPolynomial| 357
- |gcd| 363 |factorial| 374 |factor| 379 |extendedEuclidean| 384
- |exquo| 397 |expressIdealMember| 403 |even?| 409 |euclideanSize| 414
- |divide| 419 |differentiate| 425 |dec| 436 |copy| 441 |convert| 446
- |coerce| 471 |characteristic| 491 |bit?| 495 |binomial| 501
- |base| 507 |associates?| 511 |addmod| 517 |abs| 524 ^ 529 |\\/| 541
- |Zero| 547 |Or| 551 |One| 557 |OMwrite| 561 |Not| 585 D 590
- |And| 601 >= 607 > 613 = 619 <= 625 < 631 |/\\| 637 - 643 + 654
- ** 660 * 672))
- (QUOTE (
- (|noetherian| . 0)
- (|canonicalsClosed| . 0)
- (|canonical| . 0)
- (|canonicalUnitNormal| . 0)
- (|multiplicativeValuation| . 0)
- (|noZeroDivisors| . 0)
- ((|commutative| "*") . 0)
- (|rightUnitary| . 0)
- (|leftUnitary| . 0)
- (|unitsKnown| . 0)))
- (CONS
- (|makeByteWordVec2| 1
- (QUOTE (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
- 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
- 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0)))
- (CONS
- (QUOTE
- #(|IntegerNumberSystem&| |EuclideanDomain&|
- |UniqueFactorizationDomain&| NIL NIL |GcdDomain&|
- |IntegralDomain&| |Algebra&| |Module&| NIL |Module&| NIL NIL
- |Module&| NIL |DifferentialRing&| |OrderedRing&| NIL |Module&|
- NIL |Module&| NIL NIL NIL NIL NIL NIL |Ring&| NIL NIL NIL NIL
- NIL NIL NIL NIL NIL NIL NIL NIL NIL |AbelianGroup&| NIL NIL
- |AbelianMonoid&| |Monoid&| NIL NIL NIL NIL |OrderedSet&|
- |AbelianSemiGroup&| |SemiGroup&| |Logic&| NIL |SetCategory&| NIL
- NIL NIL NIL |RetractableTo&| NIL NIL NIL |RetractableTo&| NIL NIL
- NIL NIL NIL NIL |RetractableTo&| NIL |BasicType&| NIL))
- (CONS
- (QUOTE
- #((|IntegerNumberSystem|) (|EuclideanDomain|)
- (|UniqueFactorizationDomain|) (|PrincipalIdealDomain|)
- (|OrderedIntegralDomain|) (|GcdDomain|) (|IntegralDomain|)
- (|Algebra| $$) (|Module| 12) (|LinearlyExplicitRingOver| 12)
- (|Module| #0=#:G1062) (|LinearlyExplicitRingOver| #0#)
- (|CharacteristicZero|) (|Module| #1=#:G106217)
- (|LinearlyExplicitRingOver| #1#) (|DifferentialRing|)
- (|OrderedRing|) (|CommutativeRing|) (|Module| |t#1|)
- (|EntireRing|) (|Module| $$) (|BiModule| 12 12)
- (|BiModule| #0# #0#) (|BiModule| #1# #1#)
- (|OrderedAbelianGroup|) (|BiModule| |t#1| |t#1|)
- (|BiModule| $$ $$) (|Ring|) (|RightModule| 12)
- (|LeftModule| 12) (|RightModule| #0#) (|LeftModule| #0#)
- (|RightModule| #1#) (|LeftModule| #1#)
- (|OrderedCancellationAbelianMonoid|) (|RightModule| |t#1|)
- (|LeftModule| |t#1|) (|LeftModule| $$) (|Rng|)
- (|RightModule| $$) (|OrderedAbelianMonoid|) (|AbelianGroup|)
- (|OrderedAbelianSemiGroup|) (|CancellationAbelianMonoid|)
- (|AbelianMonoid|) (|Monoid|) (|PatternMatchable| 12)
- (|PatternMatchable| #:G1065) (|StepThrough|)
- (|PatternMatchable| #:G106220) (|OrderedSet|)
- (|AbelianSemiGroup|) (|SemiGroup|) (|Logic|) (|RealConstant|)
- (|SetCategory|) (|OpenMath|) (|CoercibleTo| #:G82356)
- (|ConvertibleTo| 89) (|ConvertibleTo| 91) (|RetractableTo| 12)
- (|ConvertibleTo| 12) (|ConvertibleTo| #:G1064)
- (|ConvertibleTo| #:G1063) (|RetractableTo| #:G1061)
- (|ConvertibleTo| #:G1060) (|ConvertibleTo| 87)
- (|ConvertibleTo| 88) (|CombinatorialFunctionCategory|)
- (|ConvertibleTo| #:G106219) (|ConvertibleTo| #:G106218)
- (|RetractableTo| #:G106216) (|ConvertibleTo| #:G106215)
- (|BasicType|) (|CoercibleTo| 29)))
- (|makeByteWordVec2| 102
- (QUOTE
- (1 8 7 0 9 3 8 7 0 10 10 11 2 8 7 0 12 13 1 8 7 0 14 0 15 0
- 16 2 8 0 10 15 17 1 8 7 0 18 1 8 7 0 19 1 8 7 0 20 1 12 29
- 0 30 1 0 0 12 33 2 0 22 0 0 1 1 0 0 0 41 1 0 22 0 65 2 0 0
- 0 0 48 1 0 82 0 83 1 0 0 0 1 1 0 22 0 1 2 0 0 0 0 1 2 0 86
- 0 0 1 3 0 0 0 0 0 73 1 0 0 0 1 1 0 99 0 1 2 0 22 0 0 1 1 0
- 12 0 1 2 0 0 0 0 70 0 0 0 1 1 0 92 0 1 1 0 12 0 1 2 0 0 0 0
- 59 1 0 26 27 28 2 0 75 27 76 77 1 0 86 0 1 1 0 84 0 1 1 0
- 22 0 1 1 0 85 0 1 1 0 0 0 81 0 0 0 80 2 0 0 0 0 58 1 0 93
- 94 1 1 0 22 0 1 3 0 0 0 0 0 1 2 0 0 0 0 78 1 0 22 0 1 2 0 0
- 0 0 1 3 0 90 0 89 90 1 1 0 22 0 1 1 0 22 0 64 1 0 0 0 42 1
- 0 86 0 1 1 0 22 0 74 2 0 95 94 0 1 3 0 0 0 0 0 71 0 0 0 39
- 2 0 0 0 0 67 0 0 0 38 2 0 0 0 0 66 1 0 0 0 1 1 0 0 0 69 1 0
- 0 94 1 2 0 0 0 0 1 1 0 10 0 1 2 0 0 0 0 1 0 0 0 1 1 0 0 0 50
- 1 0 0 0 68 1 0 102 0 1 2 0 100 100 100 1 1 0 0 94 1 2 0 0 0
- 0 62 1 0 0 0 1 1 0 99 0 1 2 0 96 0 0 1 3 0 98 0 0 0 1 2 0 86
- 0 0 1 2 0 95 94 0 1 1 0 22 0 1 1 0 56 0 1 2 0 60 0 0 61 1 0
- 0 0 1 2 0 0 0 56 1 1 0 0 0 51 1 0 0 0 1 1 0 87 0 1 1 0 88 0
- 1 1 0 89 0 1 1 0 91 0 1 1 0 12 0 32 1 0 0 12 79 1 0 0 0 1 1
- 0 0 12 79 1 0 29 0 31 0 0 56 1 2 0 22 0 0 1 2 0 0 0 0 1 0 0
- 0 37 2 0 22 0 0 1 3 0 0 0 0 0 72 1 0 0 0 63 2 0 0 0 56 1 2 0
- 0 0 101 1 2 0 0 0 0 44 0 0 0 35 2 0 0 0 0 47 0 0 0 36 3 0 7
- 8 0 22 25 2 0 10 0 22 23 2 0 7 8 0 24 1 0 10 0 21 1 0 0 0 45
- 1 0 0 0 1 2 0 0 0 56 1 2 0 0 0 0 46 2 0 22 0 0 1 2 0 22 0 0
- 1 2 0 22 0 0 40 2 0 22 0 0 1 2 0 22 0 0 49 2 0 0 0 0 43 1 0
- 0 0 52 2 0 0 0 0 54 2 0 0 0 0 53 2 0 0 0 56 57 2 0 0 0 101 1
- 2 0 0 0 0 55 2 0 0 12 0 34 2 0 0 56 0 1 2 0 0 101 0 1))))))
- (QUOTE |lookupComplete|)))
-
-(MAKEPROP (QUOTE |SingleInteger|) (QUOTE NILADIC) T)
+ ('T (VECTOR 1 |x| 1))))
+
+(DEFUN |SingleInteger| ()
+ (PROG ()
+ (RETURN
+ (PROG (#0=#:G1486)
+ (RETURN
+ (COND
+ ((LETT #0# (HGET |$ConstructorCache| '|SingleInteger|)
+ |SingleInteger|)
+ (|CDRwithIncrement| (CDAR #0#)))
+ ('T
+ (UNWIND-PROTECT
+ (PROG1 (CDDAR (HPUT |$ConstructorCache| '|SingleInteger|
+ (LIST
+ (CONS NIL
+ (CONS 1 (|SingleInteger;|))))))
+ (LETT #0# T |SingleInteger|))
+ (COND
+ ((NOT #0#)
+ (HREM |$ConstructorCache| '|SingleInteger|)))))))))))
+
+(DEFUN |SingleInteger;| ()
+ (PROG (|dv$| $ |pv$|)
+ (RETURN
+ (PROGN
+ (LETT |dv$| '(|SingleInteger|) . #0=(|SingleInteger|))
+ (LETT $ (|newShell| 105) . #0#)
+ (|setShellEntry| $ 0 |dv$|)
+ (|setShellEntry| $ 3
+ (LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#))
+ (|haddProp| |$ConstructorCache| '|SingleInteger| NIL
+ (CONS 1 $))
+ (|stuffDomainSlots| $)
+ (|setShellEntry| $ 6 1)
+ $))))
+(MAKEPROP '|SingleInteger| '|infovec|
+ (LIST '#(NIL NIL NIL NIL NIL NIL '|seed| (|Void|)
+ (|OpenMathDevice|) (0 . |OMputApp|) (|String|)
+ (5 . |OMputSymbol|) (|Integer|) (12 . |OMputInteger|)
+ (18 . |OMputEndApp|) (|OpenMathEncoding|)
+ (23 . |OMencodingXML|) (27 . |OMopenString|)
+ (33 . |OMputObject|) (38 . |OMputEndObject|)
+ (43 . |OMclose|) |SINT;OMwrite;$S;2| (|Boolean|)
+ |SINT;OMwrite;$BS;3| |SINT;OMwrite;Omd$V;4|
+ |SINT;OMwrite;Omd$BV;5| (|Matrix| 12) (|Matrix| $)
+ |SINT;reducedSystem;MM;6| (|OutputForm|) (48 . |coerce|)
+ |SINT;coerce;$Of;7| |SINT;convert;$I;8| (53 . |coerce|)
+ |SINT;*;I2$;9|
+ (CONS IDENTITY
+ (FUNCALL (|dispatchFunction| |SINT;Zero;$;10|) $))
+ (CONS IDENTITY
+ (FUNCALL (|dispatchFunction| |SINT;One;$;11|) $))
+ |SINT;base;$;12| |SINT;max;$;13| |SINT;min;$;14|
+ |SINT;=;2$B;15| |SINT;~;2$;16| |SINT;not;2$;17|
+ |SINT;/\\;3$;18| |SINT;\\/;3$;19| |SINT;Not;2$;20|
+ |SINT;And;3$;21| |SINT;Or;3$;22| |SINT;xor;3$;23|
+ |SINT;<;2$B;24| |SINT;inc;2$;25| |SINT;dec;2$;26|
+ |SINT;-;2$;27| |SINT;+;3$;28| |SINT;-;3$;29|
+ |SINT;*;3$;30| (|NonNegativeInteger|) |SINT;**;$Nni$;31|
+ |SINT;quo;3$;32| |SINT;rem;3$;33|
+ (|Record| (|:| |quotient| $) (|:| |remainder| $))
+ |SINT;divide;2$R;34| |SINT;gcd;3$;35| |SINT;abs;2$;36|
+ |SINT;odd?;$B;37| |SINT;zero?;$B;38| |SINT;one?;$B;39|
+ |SINT;max;3$;40| |SINT;min;3$;41| |SINT;hash;2$;42|
+ |SINT;length;2$;43| |SINT;shift;3$;44| |SINT;mulmod;4$;45|
+ |SINT;addmod;4$;46| |SINT;submod;4$;47|
+ |SINT;negative?;$B;48| (|Vector| 12)
+ (|Record| (|:| |mat| 26) (|:| |vec| 76)) (|Vector| $)
+ |SINT;reducedSystem;MVR;49| |SINT;positiveRemainder;3$;50|
+ |SINT;coerce;I$;51| |SINT;random;$;52| |SINT;random;2$;53|
+ (|Record| (|:| |unit| $) (|:| |canonical| $)
+ (|:| |associate| $))
+ |SINT;unitNormal;$R;54| (|Fraction| 12)
+ (|Union| 86 '"failed") (|Union| $ '"failed") (|Float|)
+ (|DoubleFloat|) (|Pattern| 12) (|PatternMatchResult| 12 $)
+ (|InputForm|) (|Union| 12 '"failed") (|List| $)
+ (|Record| (|:| |coef| 95) (|:| |generator| $))
+ (|Union| 95 '"failed")
+ (|Record| (|:| |coef1| $) (|:| |coef2| $)
+ (|:| |generator| $))
+ (|Record| (|:| |coef1| $) (|:| |coef2| $))
+ (|Union| 99 '"failed") (|Factored| $)
+ (|SparseUnivariatePolynomial| $) (|PositiveInteger|)
+ (|SingleInteger|))
+ '#(~= 58 ~ 64 |zero?| 69 |xor| 74 |unitNormal| 80
+ |unitCanonical| 85 |unit?| 90 |symmetricRemainder| 95
+ |subtractIfCan| 101 |submod| 107 |squareFreePart| 114
+ |squareFree| 119 |sizeLess?| 124 |sign| 130 |shift| 135
+ |sample| 141 |retractIfCan| 145 |retract| 150 |rem| 155
+ |reducedSystem| 161 |recip| 172 |rationalIfCan| 177
+ |rational?| 182 |rational| 187 |random| 192 |quo| 201
+ |principalIdeal| 207 |prime?| 212 |powmod| 217
+ |positiveRemainder| 224 |positive?| 230 |permutation| 235
+ |patternMatch| 241 |one?| 248 |odd?| 253 |not| 258
+ |nextItem| 263 |negative?| 268 |multiEuclidean| 273
+ |mulmod| 279 |min| 286 |max| 296 |mask| 306 |length| 311
+ |lcm| 316 |latex| 327 |invmod| 332 |init| 338 |inc| 342
+ |hash| 347 |gcdPolynomial| 357 |gcd| 363 |factorial| 374
+ |factor| 379 |extendedEuclidean| 384 |exquo| 397
+ |expressIdealMember| 403 |even?| 409 |euclideanSize| 414
+ |divide| 419 |differentiate| 425 |dec| 436 |copy| 441
+ |convert| 446 |coerce| 471 |characteristic| 491 |bit?| 495
+ |binomial| 501 |base| 507 |associates?| 511 |addmod| 517
+ |abs| 524 ^ 529 |\\/| 541 |Zero| 547 |Or| 551 |One| 557
+ |OMwrite| 561 |Not| 585 D 590 |And| 601 >= 607 > 613 = 619
+ <= 625 < 631 |/\\| 637 - 643 + 654 ** 660 * 672)
+ '((|noetherian| . 0) (|canonicalsClosed| . 0)
+ (|canonical| . 0) (|canonicalUnitNormal| . 0)
+ (|multiplicativeValuation| . 0) (|noZeroDivisors| . 0)
+ ((|commutative| "*") . 0) (|rightUnitary| . 0)
+ (|leftUnitary| . 0) (|unitsKnown| . 0))
+ (CONS (|makeByteWordVec2| 1
+ '(0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0))
+ (CONS '#(|IntegerNumberSystem&| |EuclideanDomain&|
+ |UniqueFactorizationDomain&| NIL NIL
+ |GcdDomain&| |IntegralDomain&| |Algebra&| NIL
+ NIL |DifferentialRing&| |OrderedRing&| NIL NIL
+ |Module&| NIL NIL |Ring&| NIL NIL NIL NIL NIL
+ |AbelianGroup&| NIL NIL |AbelianMonoid&|
+ |Monoid&| NIL NIL |OrderedSet&|
+ |AbelianSemiGroup&| |SemiGroup&| |Logic&| NIL
+ |SetCategory&| NIL NIL NIL NIL NIL NIL
+ |RetractableTo&| NIL |BasicType&| NIL)
+ (CONS '#((|IntegerNumberSystem|)
+ (|EuclideanDomain|)
+ (|UniqueFactorizationDomain|)
+ (|PrincipalIdealDomain|)
+ (|OrderedIntegralDomain|) (|GcdDomain|)
+ (|IntegralDomain|) (|Algebra| $$)
+ (|CharacteristicZero|)
+ (|LinearlyExplicitRingOver| 12)
+ (|DifferentialRing|) (|OrderedRing|)
+ (|CommutativeRing|) (|EntireRing|)
+ (|Module| $$) (|OrderedAbelianGroup|)
+ (|BiModule| $$ $$) (|Ring|)
+ (|OrderedCancellationAbelianMonoid|)
+ (|LeftModule| $$) (|Rng|)
+ (|RightModule| $$)
+ (|OrderedAbelianMonoid|)
+ (|AbelianGroup|)
+ (|OrderedAbelianSemiGroup|)
+ (|CancellationAbelianMonoid|)
+ (|AbelianMonoid|) (|Monoid|)
+ (|StepThrough|) (|PatternMatchable| 12)
+ (|OrderedSet|) (|AbelianSemiGroup|)
+ (|SemiGroup|) (|Logic|) (|RealConstant|)
+ (|SetCategory|) (|OpenMath|)
+ (|ConvertibleTo| 89)
+ (|ConvertibleTo| 90)
+ (|CombinatorialFunctionCategory|)
+ (|ConvertibleTo| 91)
+ (|ConvertibleTo| 93)
+ (|RetractableTo| 12)
+ (|ConvertibleTo| 12) (|BasicType|)
+ (|CoercibleTo| 29))
+ (|makeByteWordVec2| 104
+ '(1 8 7 0 9 3 8 7 0 10 10 11 2 8 7 0 12
+ 13 1 8 7 0 14 0 15 0 16 2 8 0 10 15
+ 17 1 8 7 0 18 1 8 7 0 19 1 8 7 0 20 1
+ 12 29 0 30 1 0 0 12 33 2 0 22 0 0 1 1
+ 0 0 0 41 1 0 22 0 65 2 0 0 0 0 48 1 0
+ 84 0 85 1 0 0 0 1 1 0 22 0 1 2 0 0 0
+ 0 1 2 0 88 0 0 1 3 0 0 0 0 0 74 1 0 0
+ 0 1 1 0 101 0 1 2 0 22 0 0 1 1 0 12 0
+ 1 2 0 0 0 0 71 0 0 0 1 1 0 94 0 1 1 0
+ 12 0 1 2 0 0 0 0 59 1 0 26 27 28 2 0
+ 77 27 78 79 1 0 88 0 1 1 0 87 0 1 1 0
+ 22 0 1 1 0 86 0 1 1 0 0 0 83 0 0 0 82
+ 2 0 0 0 0 58 1 0 96 95 1 1 0 22 0 1 3
+ 0 0 0 0 0 1 2 0 0 0 0 80 1 0 22 0 1 2
+ 0 0 0 0 1 3 0 92 0 91 92 1 1 0 22 0
+ 66 1 0 22 0 64 1 0 0 0 42 1 0 88 0 1
+ 1 0 22 0 75 2 0 97 95 0 1 3 0 0 0 0 0
+ 72 0 0 0 39 2 0 0 0 0 68 0 0 0 38 2 0
+ 0 0 0 67 1 0 0 0 1 1 0 0 0 70 1 0 0
+ 95 1 2 0 0 0 0 1 1 0 10 0 1 2 0 0 0 0
+ 1 0 0 0 1 1 0 0 0 50 1 0 0 0 69 1 0
+ 104 0 1 2 0 102 102 102 1 1 0 0 95 1
+ 2 0 0 0 0 62 1 0 0 0 1 1 0 101 0 1 2
+ 0 98 0 0 1 3 0 100 0 0 0 1 2 0 88 0 0
+ 1 2 0 97 95 0 1 1 0 22 0 1 1 0 56 0 1
+ 2 0 60 0 0 61 1 0 0 0 1 2 0 0 0 56 1
+ 1 0 0 0 51 1 0 0 0 1 1 0 89 0 1 1 0
+ 90 0 1 1 0 91 0 1 1 0 93 0 1 1 0 12 0
+ 32 1 0 0 12 81 1 0 0 0 1 1 0 0 12 81
+ 1 0 29 0 31 0 0 56 1 2 0 22 0 0 1 2 0
+ 0 0 0 1 0 0 0 37 2 0 22 0 0 1 3 0 0 0
+ 0 0 73 1 0 0 0 63 2 0 0 0 56 1 2 0 0
+ 0 103 1 2 0 0 0 0 44 0 0 0 35 2 0 0 0
+ 0 47 0 0 0 36 3 0 7 8 0 22 25 2 0 10
+ 0 22 23 2 0 7 8 0 24 1 0 10 0 21 1 0
+ 0 0 45 1 0 0 0 1 2 0 0 0 56 1 2 0 0 0
+ 0 46 2 0 22 0 0 1 2 0 22 0 0 1 2 0 22
+ 0 0 40 2 0 22 0 0 1 2 0 22 0 0 49 2 0
+ 0 0 0 43 1 0 0 0 52 2 0 0 0 0 54 2 0
+ 0 0 0 53 2 0 0 0 56 57 2 0 0 0 103 1
+ 2 0 0 0 0 55 2 0 0 12 0 34 2 0 0 56 0
+ 1 2 0 0 103 0 1)))))
+ '|lookupComplete|))
+
+(MAKEPROP '|SingleInteger| 'NILADIC T)
@
+
\section{License}
+
<<license>>=
--Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
--All rights reserved.