diff options
author | dos-reis <gdr@axiomatics.org> | 2010-04-04 17:20:33 +0000 |
---|---|---|
committer | dos-reis <gdr@axiomatics.org> | 2010-04-04 17:20:33 +0000 |
commit | ae3725b1b6208264518fbcd4d7adadd68978d26f (patch) | |
tree | 5d54b04001178fdfbf0eaa4a5031658e092d2aa2 /src/algebra | |
parent | da7d92d632deab11bb2c93a9b51dc4972707003d (diff) | |
download | open-axiom-ae3725b1b6208264518fbcd4d7adadd68978d26f.tar.gz |
* algebra/boolean.spad.pamphlet (BooleanLogic): New.
(PropositionalLogic): Extend it.
* algebra/aggcat.spad.pamphlet (BitAggregate): Likewise.
* algebra/si.spad.pamphlet (SingleInteger): Assert membership to
BooleanLogic.
Diffstat (limited to 'src/algebra')
-rw-r--r-- | src/algebra/Makefile.in | 6 | ||||
-rw-r--r-- | src/algebra/Makefile.pamphlet | 6 | ||||
-rw-r--r-- | src/algebra/aggcat.spad.pamphlet | 11 | ||||
-rw-r--r-- | src/algebra/boolean.spad.pamphlet | 35 | ||||
-rw-r--r-- | src/algebra/si.spad.pamphlet | 6 | ||||
-rw-r--r-- | src/algebra/strap/SINT.lsp | 431 |
6 files changed, 262 insertions, 233 deletions
diff --git a/src/algebra/Makefile.in b/src/algebra/Makefile.in index 8c99bd1e..8abba4d9 100644 --- a/src/algebra/Makefile.in +++ b/src/algebra/Makefile.in @@ -372,7 +372,8 @@ $(OUT)/IEVALAB.$(FASLEXT) $(OUT)/IEVALAB-.$(FASLEXT): \ $(OUT)/EVALAB.$(FASLEXT) $(OUT)/EVALAB-.$(FASLEXT): \ $(OUT)/IEVALAB.$(FASLEXT) -$(OUT)/PROPLOG.$(FASLEXT): $(OUT)/SETCAT.$(FASLEXT) +$(OUT)/BOOLE.$(FASLEXT): $(OUT)/TYPE.$(FASLEXT) +$(OUT)/PROPLOG.$(FASLEXT): $(OUT)/BOOLE.$(FASLEXT) $(OUT)/SETCAT.$(FASLEXT) $(OUT)/MAYBE.$(FASLEXT): $(OUT)/KOERCE.$(FASLEXT) $(OUT)/RETRACT.$(FASLEXT) @@ -416,7 +417,7 @@ axiom_algebra_layer_1 = \ IDENT SEGCAT BINDING ALIST BOOLEAN PRIMARR \ ORDRING ORDRING- FEVALAB FEVALAB- \ OSGROUP MAYBE DATAARY PROPLOG HOMOTOP BYTEORD \ - FIELD FIELD- VECTCAT VECTCAT- IARRAY1 \ + FIELD FIELD- VECTCAT VECTCAT- IARRAY1 BOOLE \ PROPERTY ARITY OPERCAT OPERCAT- axiom_algebra_layer_1_nrlibs = \ @@ -578,6 +579,7 @@ $(OUT)/RMATCAT.$(FASLEXT): $(OUT)/DIRPROD.$(FASLEXT) $(OUT)/DIRPROD.$(FASLEXT): $(OUT)/DIRPCAT.$(FASLEXT) $(OUT)/DIRPCAT.$(FASLEXT): $(OUT)/VSPACE.$(FASLEXT) $(OUT)/IVECTOR.$(FASLEXT) $(OUT)/MATRIX.$(FASLEXT): $(OUT)/MATCAT.$(FASLEXT) +$(OUT)/BTAGG.$(FASLEXT): $(OUT)/BOOLE.$(FASLEXT) axiom_algebra_layer_10 = \ RESULT BFUNCT BPADIC ANY \ diff --git a/src/algebra/Makefile.pamphlet b/src/algebra/Makefile.pamphlet index 11c6399e..980260a2 100644 --- a/src/algebra/Makefile.pamphlet +++ b/src/algebra/Makefile.pamphlet @@ -331,7 +331,8 @@ $(OUT)/IEVALAB.$(FASLEXT) $(OUT)/IEVALAB-.$(FASLEXT): \ $(OUT)/EVALAB.$(FASLEXT) $(OUT)/EVALAB-.$(FASLEXT): \ $(OUT)/IEVALAB.$(FASLEXT) -$(OUT)/PROPLOG.$(FASLEXT): $(OUT)/SETCAT.$(FASLEXT) +$(OUT)/BOOLE.$(FASLEXT): $(OUT)/TYPE.$(FASLEXT) +$(OUT)/PROPLOG.$(FASLEXT): $(OUT)/BOOLE.$(FASLEXT) $(OUT)/SETCAT.$(FASLEXT) $(OUT)/MAYBE.$(FASLEXT): $(OUT)/KOERCE.$(FASLEXT) $(OUT)/RETRACT.$(FASLEXT) @@ -375,7 +376,7 @@ axiom_algebra_layer_1 = \ IDENT SEGCAT BINDING ALIST BOOLEAN PRIMARR \ ORDRING ORDRING- FEVALAB FEVALAB- \ OSGROUP MAYBE DATAARY PROPLOG HOMOTOP BYTEORD \ - FIELD FIELD- VECTCAT VECTCAT- IARRAY1 \ + FIELD FIELD- VECTCAT VECTCAT- IARRAY1 BOOLE \ PROPERTY ARITY OPERCAT OPERCAT- axiom_algebra_layer_1_nrlibs = \ @@ -585,6 +586,7 @@ $(OUT)/RMATCAT.$(FASLEXT): $(OUT)/DIRPROD.$(FASLEXT) $(OUT)/DIRPROD.$(FASLEXT): $(OUT)/DIRPCAT.$(FASLEXT) $(OUT)/DIRPCAT.$(FASLEXT): $(OUT)/VSPACE.$(FASLEXT) $(OUT)/IVECTOR.$(FASLEXT) $(OUT)/MATRIX.$(FASLEXT): $(OUT)/MATCAT.$(FASLEXT) +$(OUT)/BTAGG.$(FASLEXT): $(OUT)/BOOLE.$(FASLEXT) axiom_algebra_layer_10 = \ RESULT BFUNCT BPADIC ANY \ diff --git a/src/algebra/aggcat.spad.pamphlet b/src/algebra/aggcat.spad.pamphlet index 6e448706..8b01b3c8 100644 --- a/src/algebra/aggcat.spad.pamphlet +++ b/src/algebra/aggcat.spad.pamphlet @@ -2681,22 +2681,13 @@ import OneDimensionalArrayAggregate Boolean ++ The bit aggregate category models aggregates representing large ++ quantities of Boolean data. BitAggregate(): Category == - Join(OrderedSet, Logic, OneDimensionalArrayAggregate Boolean) with - not: % -> % - ++ not(b) returns the logical {\em not} of bit aggregate - ++ \axiom{b}. + Join(OrderedSet, BooleanLogic, Logic, OneDimensionalArrayAggregate Boolean) with nand : (%, %) -> % ++ nand(a,b) returns the logical {\em nand} of bit aggregates \axiom{a} ++ and \axiom{b}. nor : (%, %) -> % ++ nor(a,b) returns the logical {\em nor} of bit aggregates \axiom{a} and ++ \axiom{b}. - and : (%, %) -> % - ++ a and b returns the logical {\em and} of bit aggregates \axiom{a} and - ++ \axiom{b}. - or : (%, %) -> % - ++ a or b returns the logical {\em or} of bit aggregates \axiom{a} and - ++ \axiom{b}. xor : (%, %) -> % ++ xor(a,b) returns the logical {\em exclusive-or} of bit aggregates ++ \axiom{a} and \axiom{b}. diff --git a/src/algebra/boolean.spad.pamphlet b/src/algebra/boolean.spad.pamphlet index 9be8f2a3..d4a2f65d 100644 --- a/src/algebra/boolean.spad.pamphlet +++ b/src/algebra/boolean.spad.pamphlet @@ -12,7 +12,24 @@ \tableofcontents \eject -\section{category PROPLOG PropositionalLogic} +\section{Categories an domains for logic} + +<<category BOOLE BooleanLogic>>= +)abbrev category BOOLE BooleanLogic +++ Author: Gabriel Dos Reis +++ Date Created: April 04, 2010 +++ Date Last Modified: April 04, 2010 +++ Description: +++ This is the category of Boolean logic structures. +BooleanLogic(): Category == Type with + not: % -> % + ++ \spad{not x} returns the complement or negation of \spad{x}. + and: (%,%) -> % + ++ \spad{x and y} returns the conjunction of \spad{x} and \spad{y}. + or: (%,%) -> % + ++ \spad{x or y} returns the disjunction of \spad{x} and \spad{y}. +@ + <<category PROPLOG PropositionalLogic>>= )abbrev category PROPLOG PropositionalLogic ++ Author: Gabriel Dos Reis @@ -20,17 +37,11 @@ ++ Date Last Modified: May 27, 2009 ++ Description: This category declares the connectives of ++ Propositional Logic. -PropositionalLogic(): Category == SetCategory with +PropositionalLogic(): Category == Join(BooleanLogic,SetCategory) with true: % ++ true is a logical constant. false: % ++ false is a logical constant. - not: % -> % - ++ not p returns the logical negation of `p'. - and: (%, %) -> % - ++ p and q returns the logical conjunction of `p', `q'. - or: (%, %) -> % - ++ p or q returns the logical disjunction of `p', `q'. implies: (%,%) -> % ++ implies(p,q) returns the logical implication of `q' by `p'. equiv: (%,%) -> % @@ -641,11 +652,9 @@ KleeneTrivalentLogic(): Public == Private where <<*>>= <<license>> -<<domain REF Reference>> +<<category BOOLE BooleanLogic>> <<category LOGIC Logic>> <<domain BOOLEAN Boolean>> -<<domain IBITS IndexedBits>> -<<domain BITS Bits>> <<category PROPLOG PropositionalLogic>> <<domain PROPFRML PropositionalFormula>> @@ -654,6 +663,10 @@ KleeneTrivalentLogic(): Public == Private where <<domain KTVLOGIC KleeneTrivalentLogic>> +<<domain IBITS IndexedBits>> +<<domain BITS Bits>> +<<domain REF Reference>> + @ \eject \begin{thebibliography}{99} diff --git a/src/algebra/si.spad.pamphlet b/src/algebra/si.spad.pamphlet index 1eece3c6..4e93667d 100644 --- a/src/algebra/si.spad.pamphlet +++ b/src/algebra/si.spad.pamphlet @@ -187,7 +187,7 @@ IntegerNumberSystem(): Category == -- QSOR, QSXOR, QSLEFTSHIFT, QSADDMOD, QSDIFMOD, QSMULTMOD -SingleInteger(): Join(IntegerNumberSystem,OrderedFinite,Logic,OpenMath) with +SingleInteger(): Join(IntegerNumberSystem,OrderedFinite,BooleanLogic,Logic,OpenMath) with canonical ++ \spad{canonical} means that mathematical equality is implied by data structure equality. canonicalsClosed @@ -196,8 +196,6 @@ SingleInteger(): Join(IntegerNumberSystem,OrderedFinite,Logic,OpenMath) with ++ \spad{noetherian} all ideals are finitely generated (in fact principal). -- bit operations - not: % -> % - ++ not(n) returns the bit-by-bit logical {\em not} of the single integer n. xor: (%, %) -> % ++ xor(n,m) returns the bit-by-bit logical {\em xor} of ++ the single integers n and m. @@ -280,7 +278,9 @@ SingleInteger(): Join(IntegerNumberSystem,OrderedFinite,Logic,OpenMath) with x \/ y == LOGIOR(x,y)$Lisp Not(x) == LOGNOT(x)$Lisp And(x,y) == LOGAND(x,y)$Lisp + x and y == And(x,y) Or(x,y) == LOGIOR(x,y)$Lisp + x or y == Or(x,y) xor(x,y) == LOGXOR(x,y)$Lisp x < y == QSLESSP(x,y)$Lisp x > y == QSGREATERP(x,y)$Lisp diff --git a/src/algebra/strap/SINT.lsp b/src/algebra/strap/SINT.lsp index 840a7fcf..fc221547 100644 --- a/src/algebra/strap/SINT.lsp +++ b/src/algebra/strap/SINT.lsp @@ -90,190 +90,200 @@ (PUT '|SINT;And;3$;21| '|SPADreplace| 'LOGAND) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;Or;3$;22|)) + |SINT;and;3$;22|)) -(PUT '|SINT;Or;3$;22| '|SPADreplace| 'LOGIOR) +(PUT '|SINT;and;3$;22| '|SPADreplace| 'LOGAND) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;xor;3$;23|)) + |SINT;Or;3$;23|)) -(PUT '|SINT;xor;3$;23| '|SPADreplace| 'LOGXOR) +(PUT '|SINT;Or;3$;23| '|SPADreplace| 'LOGIOR) + +(DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) + |SINT;or;3$;24|)) + +(PUT '|SINT;or;3$;24| '|SPADreplace| 'LOGIOR) + +(DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) + |SINT;xor;3$;25|)) + +(PUT '|SINT;xor;3$;25| '|SPADreplace| 'LOGXOR) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Boolean|) - |SINT;<;2$B;24|)) + |SINT;<;2$B;26|)) -(PUT '|SINT;<;2$B;24| '|SPADreplace| 'QSLESSP) +(PUT '|SINT;<;2$B;26| '|SPADreplace| 'QSLESSP) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Boolean|) - |SINT;>;2$B;25|)) + |SINT;>;2$B;27|)) -(PUT '|SINT;>;2$B;25| '|SPADreplace| 'QSGREATERP) +(PUT '|SINT;>;2$B;27| '|SPADreplace| 'QSGREATERP) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Boolean|) - |SINT;<=;2$B;26|)) + |SINT;<=;2$B;28|)) -(PUT '|SINT;<=;2$B;26| '|SPADreplace| +(PUT '|SINT;<=;2$B;28| '|SPADreplace| '(XLAM (|x| |y|) (NOT (> |x| |y|)))) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Boolean|) - |SINT;>=;2$B;27|)) + |SINT;>=;2$B;29|)) -(PUT '|SINT;>=;2$B;27| '|SPADreplace| '>=) +(PUT '|SINT;>=;2$B;29| '|SPADreplace| '>=) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) - |SINT;inc;2$;28|)) + |SINT;inc;2$;30|)) -(PUT '|SINT;inc;2$;28| '|SPADreplace| 'QSADD1) +(PUT '|SINT;inc;2$;30| '|SPADreplace| 'QSADD1) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) - |SINT;dec;2$;29|)) + |SINT;dec;2$;31|)) -(PUT '|SINT;dec;2$;29| '|SPADreplace| 'QSSUB1) +(PUT '|SINT;dec;2$;31| '|SPADreplace| 'QSSUB1) -(DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) |SINT;-;2$;30|)) +(DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) |SINT;-;2$;32|)) -(PUT '|SINT;-;2$;30| '|SPADreplace| 'QSMINUS) +(PUT '|SINT;-;2$;32| '|SPADreplace| 'QSMINUS) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;+;3$;31|)) + |SINT;+;3$;33|)) -(PUT '|SINT;+;3$;31| '|SPADreplace| 'QSPLUS) +(PUT '|SINT;+;3$;33| '|SPADreplace| 'QSPLUS) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;-;3$;32|)) + |SINT;-;3$;34|)) -(PUT '|SINT;-;3$;32| '|SPADreplace| 'QSDIFFERENCE) +(PUT '|SINT;-;3$;34| '|SPADreplace| 'QSDIFFERENCE) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;*;3$;33|)) + |SINT;*;3$;35|)) -(PUT '|SINT;*;3$;33| '|SPADreplace| 'QSTIMES) +(PUT '|SINT;*;3$;35| '|SPADreplace| 'QSTIMES) (DECLAIM (FTYPE (FUNCTION (|%Short| (|%IntegerSection| 0) |%Shell|) |%Short|) - |SINT;**;$Nni$;34|)) + |SINT;**;$Nni$;36|)) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;quo;3$;35|)) + |SINT;quo;3$;37|)) -(PUT '|SINT;quo;3$;35| '|SPADreplace| 'QSQUOTIENT) +(PUT '|SINT;quo;3$;37| '|SPADreplace| 'QSQUOTIENT) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;rem;3$;36|)) + |SINT;rem;3$;38|)) -(PUT '|SINT;rem;3$;36| '|SPADreplace| 'QSREMAINDER) +(PUT '|SINT;rem;3$;38| '|SPADreplace| 'QSREMAINDER) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Pair|) - |SINT;divide;2$R;37|)) + |SINT;divide;2$R;39|)) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;gcd;3$;38|)) + |SINT;gcd;3$;40|)) -(PUT '|SINT;gcd;3$;38| '|SPADreplace| 'GCD) +(PUT '|SINT;gcd;3$;40| '|SPADreplace| 'GCD) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) - |SINT;abs;2$;39|)) + |SINT;abs;2$;41|)) -(PUT '|SINT;abs;2$;39| '|SPADreplace| 'QSABSVAL) +(PUT '|SINT;abs;2$;41| '|SPADreplace| 'QSABSVAL) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Boolean|) - |SINT;odd?;$B;40|)) + |SINT;odd?;$B;42|)) -(PUT '|SINT;odd?;$B;40| '|SPADreplace| 'QSODDP) +(PUT '|SINT;odd?;$B;42| '|SPADreplace| 'QSODDP) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Boolean|) - |SINT;zero?;$B;41|)) + |SINT;zero?;$B;43|)) -(PUT '|SINT;zero?;$B;41| '|SPADreplace| 'QSZEROP) +(PUT '|SINT;zero?;$B;43| '|SPADreplace| 'QSZEROP) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Boolean|) - |SINT;one?;$B;42|)) + |SINT;one?;$B;44|)) -(PUT '|SINT;one?;$B;42| '|SPADreplace| '(XLAM (|x|) (EQL |x| 1))) +(PUT '|SINT;one?;$B;44| '|SPADreplace| '(XLAM (|x|) (EQL |x| 1))) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;max;3$;43|)) + |SINT;max;3$;45|)) -(PUT '|SINT;max;3$;43| '|SPADreplace| 'QSMAX) +(PUT '|SINT;max;3$;45| '|SPADreplace| 'QSMAX) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;min;3$;44|)) + |SINT;min;3$;46|)) -(PUT '|SINT;min;3$;44| '|SPADreplace| 'QSMIN) +(PUT '|SINT;min;3$;46| '|SPADreplace| 'QSMIN) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) - |SINT;hash;2$;45|)) + |SINT;hash;2$;47|)) -(PUT '|SINT;hash;2$;45| '|SPADreplace| 'HASHEQ) +(PUT '|SINT;hash;2$;47| '|SPADreplace| 'HASHEQ) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) - |SINT;length;2$;46|)) + |SINT;length;2$;48|)) -(PUT '|SINT;length;2$;46| '|SPADreplace| 'INTEGER-LENGTH) +(PUT '|SINT;length;2$;48| '|SPADreplace| 'INTEGER-LENGTH) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;shift;3$;47|)) + |SINT;shift;3$;49|)) -(PUT '|SINT;shift;3$;47| '|SPADreplace| 'QSLEFTSHIFT) +(PUT '|SINT;shift;3$;49| '|SPADreplace| 'QSLEFTSHIFT) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Short| |%Shell|) |%Short|) - |SINT;mulmod;4$;48|)) + |SINT;mulmod;4$;50|)) -(PUT '|SINT;mulmod;4$;48| '|SPADreplace| 'QSMULTMOD) +(PUT '|SINT;mulmod;4$;50| '|SPADreplace| 'QSMULTMOD) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Short| |%Shell|) |%Short|) - |SINT;addmod;4$;49|)) + |SINT;addmod;4$;51|)) -(PUT '|SINT;addmod;4$;49| '|SPADreplace| 'QSADDMOD) +(PUT '|SINT;addmod;4$;51| '|SPADreplace| 'QSADDMOD) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Short| |%Shell|) |%Short|) - |SINT;submod;4$;50|)) + |SINT;submod;4$;52|)) -(PUT '|SINT;submod;4$;50| '|SPADreplace| 'QSDIFMOD) +(PUT '|SINT;submod;4$;52| '|SPADreplace| 'QSDIFMOD) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Boolean|) - |SINT;negative?;$B;51|)) + |SINT;negative?;$B;53|)) -(PUT '|SINT;negative?;$B;51| '|SPADreplace| 'QSMINUSP) +(PUT '|SINT;negative?;$B;53| '|SPADreplace| 'QSMINUSP) (DECLAIM (FTYPE (FUNCTION (|%Shell|) (|%IntegerSection| 0)) - |SINT;size;Nni;52|)) + |SINT;size;Nni;54|)) -(PUT '|SINT;size;Nni;52| '|SPADreplace| +(PUT '|SINT;size;Nni;54| '|SPADreplace| '(XLAM NIL (+ (- |$ShortMaximum| |$ShortMinimum|) 1))) (DECLAIM (FTYPE (FUNCTION ((|%IntegerSection| 1) |%Shell|) |%Short|) - |SINT;index;Pi$;53|)) + |SINT;index;Pi$;55|)) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) (|%IntegerSection| 1)) - |SINT;lookup;$Pi;54|)) + |SINT;lookup;$Pi;56|)) -(PUT '|SINT;lookup;$Pi;54| '|SPADreplace| +(PUT '|SINT;lookup;$Pi;56| '|SPADreplace| '(XLAM (|x|) (+ (- |x| |$ShortMinimum|) 1))) (DECLAIM (FTYPE (FUNCTION (|%Thing| (|%Vector| *) |%Shell|) |%Pair|) - |SINT;reducedSystem;MVR;55|)) + |SINT;reducedSystem;MVR;57|)) -(PUT '|SINT;reducedSystem;MVR;55| '|SPADreplace| 'CONS) +(PUT '|SINT;reducedSystem;MVR;57| '|SPADreplace| 'CONS) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;positiveRemainder;3$;56|)) + |SINT;positiveRemainder;3$;58|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Short|) - |SINT;coerce;I$;57|)) + |SINT;coerce;I$;59|)) -(DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Short|) |SINT;random;$;58|)) +(DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Short|) |SINT;random;$;60|)) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) - |SINT;random;2$;59|)) + |SINT;random;2$;61|)) -(PUT '|SINT;random;2$;59| '|SPADreplace| 'RANDOM) +(PUT '|SINT;random;2$;61| '|SPADreplace| 'RANDOM) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Shell|) - |SINT;unitNormal;$R;60|)) + |SINT;unitNormal;$R;62|)) (DEFUN |SINT;writeOMSingleInt| (|dev| |x| $) (SEQ (COND @@ -368,130 +378,138 @@ (DECLARE (IGNORE $)) (LOGAND |x| |y|)) -(DEFUN |SINT;Or;3$;22| (|x| |y| $) +(DEFUN |SINT;and;3$;22| (|x| |y| $) + (DECLARE (IGNORE $)) + (LOGAND |x| |y|)) + +(DEFUN |SINT;Or;3$;23| (|x| |y| $) (DECLARE (IGNORE $)) (LOGIOR |x| |y|)) -(DEFUN |SINT;xor;3$;23| (|x| |y| $) +(DEFUN |SINT;or;3$;24| (|x| |y| $) + (DECLARE (IGNORE $)) + (LOGIOR |x| |y|)) + +(DEFUN |SINT;xor;3$;25| (|x| |y| $) (DECLARE (IGNORE $)) (LOGXOR |x| |y|)) -(DEFUN |SINT;<;2$B;24| (|x| |y| $) +(DEFUN |SINT;<;2$B;26| (|x| |y| $) (DECLARE (IGNORE $)) (QSLESSP |x| |y|)) -(DEFUN |SINT;>;2$B;25| (|x| |y| $) +(DEFUN |SINT;>;2$B;27| (|x| |y| $) (DECLARE (IGNORE $)) (QSGREATERP |x| |y|)) -(DEFUN |SINT;<=;2$B;26| (|x| |y| $) +(DEFUN |SINT;<=;2$B;28| (|x| |y| $) (DECLARE (IGNORE $)) (NOT (> |x| |y|))) -(DEFUN |SINT;>=;2$B;27| (|x| |y| $) (DECLARE (IGNORE $)) (>= |x| |y|)) +(DEFUN |SINT;>=;2$B;29| (|x| |y| $) (DECLARE (IGNORE $)) (>= |x| |y|)) -(DEFUN |SINT;inc;2$;28| (|x| $) (DECLARE (IGNORE $)) (QSADD1 |x|)) +(DEFUN |SINT;inc;2$;30| (|x| $) (DECLARE (IGNORE $)) (QSADD1 |x|)) -(DEFUN |SINT;dec;2$;29| (|x| $) (DECLARE (IGNORE $)) (QSSUB1 |x|)) +(DEFUN |SINT;dec;2$;31| (|x| $) (DECLARE (IGNORE $)) (QSSUB1 |x|)) -(DEFUN |SINT;-;2$;30| (|x| $) (DECLARE (IGNORE $)) (QSMINUS |x|)) +(DEFUN |SINT;-;2$;32| (|x| $) (DECLARE (IGNORE $)) (QSMINUS |x|)) -(DEFUN |SINT;+;3$;31| (|x| |y| $) +(DEFUN |SINT;+;3$;33| (|x| |y| $) (DECLARE (IGNORE $)) (QSPLUS |x| |y|)) -(DEFUN |SINT;-;3$;32| (|x| |y| $) +(DEFUN |SINT;-;3$;34| (|x| |y| $) (DECLARE (IGNORE $)) (QSDIFFERENCE |x| |y|)) -(DEFUN |SINT;*;3$;33| (|x| |y| $) +(DEFUN |SINT;*;3$;35| (|x| |y| $) (DECLARE (IGNORE $)) (QSTIMES |x| |y|)) -(DEFUN |SINT;**;$Nni$;34| (|x| |n| $) +(DEFUN |SINT;**;$Nni$;36| (|x| |n| $) (SPADCALL (EXPT |x| |n|) (|getShellEntry| $ 36))) -(DEFUN |SINT;quo;3$;35| (|x| |y| $) +(DEFUN |SINT;quo;3$;37| (|x| |y| $) (DECLARE (IGNORE $)) (QSQUOTIENT |x| |y|)) -(DEFUN |SINT;rem;3$;36| (|x| |y| $) +(DEFUN |SINT;rem;3$;38| (|x| |y| $) (DECLARE (IGNORE $)) (QSREMAINDER |x| |y|)) -(DEFUN |SINT;divide;2$R;37| (|x| |y| $) +(DEFUN |SINT;divide;2$R;39| (|x| |y| $) (CONS (QSQUOTIENT |x| |y|) (QSREMAINDER |x| |y|))) -(DEFUN |SINT;gcd;3$;38| (|x| |y| $) +(DEFUN |SINT;gcd;3$;40| (|x| |y| $) (DECLARE (IGNORE $)) (GCD |x| |y|)) -(DEFUN |SINT;abs;2$;39| (|x| $) (DECLARE (IGNORE $)) (QSABSVAL |x|)) +(DEFUN |SINT;abs;2$;41| (|x| $) (DECLARE (IGNORE $)) (QSABSVAL |x|)) -(DEFUN |SINT;odd?;$B;40| (|x| $) (DECLARE (IGNORE $)) (QSODDP |x|)) +(DEFUN |SINT;odd?;$B;42| (|x| $) (DECLARE (IGNORE $)) (QSODDP |x|)) -(DEFUN |SINT;zero?;$B;41| (|x| $) (DECLARE (IGNORE $)) (QSZEROP |x|)) +(DEFUN |SINT;zero?;$B;43| (|x| $) (DECLARE (IGNORE $)) (QSZEROP |x|)) -(DEFUN |SINT;one?;$B;42| (|x| $) (DECLARE (IGNORE $)) (EQL |x| 1)) +(DEFUN |SINT;one?;$B;44| (|x| $) (DECLARE (IGNORE $)) (EQL |x| 1)) -(DEFUN |SINT;max;3$;43| (|x| |y| $) +(DEFUN |SINT;max;3$;45| (|x| |y| $) (DECLARE (IGNORE $)) (QSMAX |x| |y|)) -(DEFUN |SINT;min;3$;44| (|x| |y| $) +(DEFUN |SINT;min;3$;46| (|x| |y| $) (DECLARE (IGNORE $)) (QSMIN |x| |y|)) -(DEFUN |SINT;hash;2$;45| (|x| $) (DECLARE (IGNORE $)) (HASHEQ |x|)) +(DEFUN |SINT;hash;2$;47| (|x| $) (DECLARE (IGNORE $)) (HASHEQ |x|)) -(DEFUN |SINT;length;2$;46| (|x| $) +(DEFUN |SINT;length;2$;48| (|x| $) (DECLARE (IGNORE $)) (INTEGER-LENGTH |x|)) -(DEFUN |SINT;shift;3$;47| (|x| |n| $) +(DEFUN |SINT;shift;3$;49| (|x| |n| $) (DECLARE (IGNORE $)) (QSLEFTSHIFT |x| |n|)) -(DEFUN |SINT;mulmod;4$;48| (|a| |b| |p| $) +(DEFUN |SINT;mulmod;4$;50| (|a| |b| |p| $) (DECLARE (IGNORE $)) (QSMULTMOD |a| |b| |p|)) -(DEFUN |SINT;addmod;4$;49| (|a| |b| |p| $) +(DEFUN |SINT;addmod;4$;51| (|a| |b| |p| $) (DECLARE (IGNORE $)) (QSADDMOD |a| |b| |p|)) -(DEFUN |SINT;submod;4$;50| (|a| |b| |p| $) +(DEFUN |SINT;submod;4$;52| (|a| |b| |p| $) (DECLARE (IGNORE $)) (QSDIFMOD |a| |b| |p|)) -(DEFUN |SINT;negative?;$B;51| (|x| $) +(DEFUN |SINT;negative?;$B;53| (|x| $) (DECLARE (IGNORE $)) (QSMINUSP |x|)) -(DEFUN |SINT;size;Nni;52| ($) +(DEFUN |SINT;size;Nni;54| ($) (DECLARE (IGNORE $)) (+ (- |$ShortMaximum| |$ShortMinimum|) 1)) -(DEFUN |SINT;index;Pi$;53| (|i| $) - (PROG (#0=#:G1457) +(DEFUN |SINT;index;Pi$;55| (|i| $) + (PROG (#0=#:G1459) (RETURN (PROG1 (LETT #0# (- (+ |i| |$ShortMinimum|) 1) - |SINT;index;Pi$;53|) + |SINT;index;Pi$;55|) (|check-subtype| (SMINTP #0#) '(|SingleInteger|) #0#))))) -(DEFUN |SINT;lookup;$Pi;54| (|x| $) +(DEFUN |SINT;lookup;$Pi;56| (|x| $) (DECLARE (IGNORE $)) (+ (- |x| |$ShortMinimum|) 1)) -(DEFUN |SINT;reducedSystem;MVR;55| (|m| |v| $) +(DEFUN |SINT;reducedSystem;MVR;57| (|m| |v| $) (DECLARE (IGNORE $)) (CONS |m| |v|)) -(DEFUN |SINT;positiveRemainder;3$;56| (|x| |n| $) +(DEFUN |SINT;positiveRemainder;3$;58| (|x| |n| $) (PROG (|r|) (RETURN (SEQ (LETT |r| (QSREMAINDER |x| |n|) - |SINT;positiveRemainder;3$;56|) + |SINT;positiveRemainder;3$;58|) (EXIT (COND ((QSMINUSP |r|) (COND @@ -499,18 +517,18 @@ ('T (QSPLUS |r| |n|)))) ('T |r|))))))) -(DEFUN |SINT;coerce;I$;57| (|x| $) +(DEFUN |SINT;coerce;I$;59| (|x| $) (PROG1 |x| (|check-subtype| (SMINTP |x|) '(|SingleInteger|) |x|))) -(DEFUN |SINT;random;$;58| ($) +(DEFUN |SINT;random;$;60| ($) (SEQ (|setShellEntry| $ 6 (REMAINDER (TIMES 314159269 (|getShellEntry| $ 6)) 2147483647)) (EXIT (REMAINDER (|getShellEntry| $ 6) 67108864)))) -(DEFUN |SINT;random;2$;59| (|n| $) (DECLARE (IGNORE $)) (RANDOM |n|)) +(DEFUN |SINT;random;2$;61| (|n| $) (DECLARE (IGNORE $)) (RANDOM |n|)) -(DEFUN |SINT;unitNormal;$R;60| (|x| $) +(DEFUN |SINT;unitNormal;$R;62| (|x| $) (COND ((QSLESSP |x| 0) (VECTOR -1 (QSMINUS |x|) -1)) ('T (VECTOR 1 |x| 1)))) @@ -518,7 +536,7 @@ (DEFUN |SingleInteger| () (PROG () (RETURN - (PROG (#0=#:G1492) + (PROG (#0=#:G1494) (RETURN (COND ((LETT #0# (HGET |$ConstructorCache| '|SingleInteger|) @@ -540,7 +558,7 @@ (RETURN (PROGN (LETT |dv$| '(|SingleInteger|) . #0=(|SingleInteger|)) - (LETT $ (|newShell| 115) . #0#) + (LETT $ (|newShell| 117) . #0#) (|setShellEntry| $ 0 |dv$|) (|setShellEntry| $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#)) @@ -554,9 +572,9 @@ (LIST '#(NIL NIL NIL NIL NIL (|Integer|) '|seed| (CONS IDENTITY (FUNCALL (|dispatchFunction| |SINT;Zero;$;10|) $)) - (0 . |Zero|) (|Boolean|) |SINT;<;2$B;24| (|Void|) + (0 . |Zero|) (|Boolean|) |SINT;<;2$B;26| (|Void|) (|OpenMathDevice|) (4 . |OMputApp|) (|String|) - (9 . |OMputSymbol|) |SINT;-;2$;30| |SINT;convert;$I;8| + (9 . |OMputSymbol|) |SINT;-;2$;32| |SINT;convert;$I;8| (16 . |OMputInteger|) (22 . |OMputEndApp|) (|OpenMathEncoding|) (27 . |OMencodingXML|) (31 . |OMopenString|) (37 . |OMputObject|) @@ -565,7 +583,7 @@ |SINT;OMwrite;Omd$V;4| |SINT;OMwrite;Omd$BV;5| (|Matrix| 5) (|Matrix| $) |SINT;reducedSystem;MM;6| (|OutputForm|) (52 . |coerce|) |SINT;coerce;$Of;7| - (57 . |coerce|) |SINT;*;3$;33| |SINT;*;I2$;9| + (57 . |coerce|) |SINT;*;3$;35| |SINT;*;I2$;9| (CONS IDENTITY (FUNCALL (|dispatchFunction| |SINT;One;$;11|) $)) |SINT;base;$;12| @@ -575,33 +593,34 @@ (FUNCALL (|dispatchFunction| |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$B;25| (62 . |not|) |SINT;<=;2$B;26| - |SINT;>=;2$B;27| |SINT;inc;2$;28| |SINT;dec;2$;29| - |SINT;+;3$;31| |SINT;-;3$;32| (|NonNegativeInteger|) - |SINT;**;$Nni$;34| |SINT;quo;3$;35| |SINT;rem;3$;36| + |SINT;And;3$;21| |SINT;and;3$;22| |SINT;Or;3$;23| + |SINT;or;3$;24| |SINT;xor;3$;25| |SINT;>;2$B;27| + (62 . |not|) |SINT;<=;2$B;28| |SINT;>=;2$B;29| + |SINT;inc;2$;30| |SINT;dec;2$;31| |SINT;+;3$;33| + |SINT;-;3$;34| (|NonNegativeInteger|) |SINT;**;$Nni$;36| + |SINT;quo;3$;37| |SINT;rem;3$;38| (|Record| (|:| |quotient| $) (|:| |remainder| $)) - |SINT;divide;2$R;37| |SINT;gcd;3$;38| |SINT;abs;2$;39| - |SINT;odd?;$B;40| |SINT;zero?;$B;41| (67 . |One|) - |SINT;one?;$B;42| |SINT;max;3$;43| |SINT;min;3$;44| - (|SingleInteger|) |SINT;hash;2$;45| |SINT;length;2$;46| - |SINT;shift;3$;47| |SINT;mulmod;4$;48| |SINT;addmod;4$;49| - |SINT;submod;4$;50| |SINT;negative?;$B;51| - |SINT;size;Nni;52| (|PositiveInteger|) (71 . +) (77 . -) - |SINT;index;Pi$;53| |SINT;lookup;$Pi;54| (|Vector| 5) - (|Record| (|:| |mat| 30) (|:| |vec| 88)) (|Vector| $) - |SINT;reducedSystem;MVR;55| |SINT;positiveRemainder;3$;56| - |SINT;coerce;I$;57| |SINT;random;$;58| |SINT;random;2$;59| + |SINT;divide;2$R;39| |SINT;gcd;3$;40| |SINT;abs;2$;41| + |SINT;odd?;$B;42| |SINT;zero?;$B;43| (67 . |One|) + |SINT;one?;$B;44| |SINT;max;3$;45| |SINT;min;3$;46| + (|SingleInteger|) |SINT;hash;2$;47| |SINT;length;2$;48| + |SINT;shift;3$;49| |SINT;mulmod;4$;50| |SINT;addmod;4$;51| + |SINT;submod;4$;52| |SINT;negative?;$B;53| + |SINT;size;Nni;54| (|PositiveInteger|) (71 . +) (77 . -) + |SINT;index;Pi$;55| |SINT;lookup;$Pi;56| (|Vector| 5) + (|Record| (|:| |mat| 30) (|:| |vec| 90)) (|Vector| $) + |SINT;reducedSystem;MVR;57| |SINT;positiveRemainder;3$;58| + |SINT;coerce;I$;59| |SINT;random;$;60| |SINT;random;2$;61| (|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) - |SINT;unitNormal;$R;60| (|Fraction| 5) - (|Union| 98 '"failed") (|DoubleFloat|) - (|Union| $ '"failed") (|Float|) (|PatternMatchResult| 5 $) - (|Pattern| 5) (|InputForm|) (|Union| 5 '"failed") - (|List| $) (|Union| 107 '"failed") - (|Record| (|:| |coef| 107) (|:| |generator| $)) + |SINT;unitNormal;$R;62| (|Fraction| 5) + (|Union| 100 '"failed") (|Union| $ '"failed") (|Float|) + (|DoubleFloat|) (|Pattern| 5) (|PatternMatchResult| 5 $) + (|InputForm|) (|Union| 5 '"failed") (|List| $) + (|Union| 109 '"failed") + (|Record| (|:| |coef| 109) (|:| |generator| $)) (|Record| (|:| |coef1| $) (|:| |coef2| $)) - (|Union| 110 '"failed") + (|Union| 112 '"failed") (|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $)) (|Factored| $) (|SparseUnivariatePolynomial| $)) @@ -614,20 +633,20 @@ 206 |rational?| 211 |rational| 216 |random| 221 |quo| 230 |principalIdeal| 236 |prime?| 241 |powmod| 246 |positiveRemainder| 253 |positive?| 259 |permutation| 264 - |patternMatch| 270 |one?| 277 |odd?| 282 |not| 287 - |nextItem| 292 |negative?| 297 |multiEuclidean| 302 - |mulmod| 308 |min| 315 |max| 325 |mask| 335 |lookup| 340 - |length| 345 |lcm| 350 |latex| 361 |invmod| 366 |init| 372 - |index| 376 |inc| 381 |hash| 386 |gcdPolynomial| 391 |gcd| - 397 |factorial| 408 |factor| 413 |extendedEuclidean| 418 - |exquo| 431 |expressIdealMember| 437 |even?| 443 - |euclideanSize| 448 |divide| 453 |differentiate| 459 |dec| - 470 |copy| 475 |convert| 480 |coerce| 505 |characteristic| - 525 |bit?| 529 |binomial| 535 |before?| 541 |base| 547 - |associates?| 551 |addmod| 557 |abs| 564 |\\/| 569 |Zero| - 575 |Or| 579 |One| 585 |OMwrite| 589 |Not| 613 D 618 |And| - 629 >= 635 > 641 = 647 <= 653 < 659 |/\\| 665 - 671 + 682 - ** 688 * 700) + |patternMatch| 270 |or| 277 |one?| 283 |odd?| 288 |not| + 293 |nextItem| 298 |negative?| 303 |multiEuclidean| 308 + |mulmod| 314 |min| 321 |max| 331 |mask| 341 |lookup| 346 + |length| 351 |lcm| 356 |latex| 367 |invmod| 372 |init| 378 + |index| 382 |inc| 387 |hash| 392 |gcdPolynomial| 397 |gcd| + 403 |factorial| 414 |factor| 419 |extendedEuclidean| 424 + |exquo| 437 |expressIdealMember| 443 |even?| 449 + |euclideanSize| 454 |divide| 459 |differentiate| 465 |dec| + 476 |copy| 481 |convert| 486 |coerce| 511 |characteristic| + 531 |bit?| 535 |binomial| 541 |before?| 547 |base| 553 + |associates?| 557 |and| 563 |addmod| 569 |abs| 576 |\\/| + 581 |Zero| 587 |Or| 591 |One| 597 |OMwrite| 601 |Not| 625 + D 630 |And| 641 >= 647 > 653 = 659 <= 665 < 671 |/\\| 677 + - 683 + 694 ** 700 * 712) '((|noetherian| . 0) (|canonicalsClosed| . 0) (|canonical| . 0) (|canonicalUnitNormal| . 0) (|multiplicativeValuation| . 0) (|noZeroDivisors| . 0) @@ -636,7 +655,7 @@ (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 0 0 0 0 - 0 0 0 0)) + 0 0 0 0 0 0)) (CONS '#(|IntegerNumberSystem&| |EuclideanDomain&| |UniqueFactorizationDomain&| NIL NIL |GcdDomain&| |IntegralDomain&| |Algebra&| NIL @@ -645,9 +664,9 @@ |AbelianGroup&| NIL NIL NIL NIL NIL |AbelianMonoid&| |Monoid&| NIL NIL NIL |OrderedSet&| NIL NIL |AbelianSemiGroup&| - |SemiGroup&| NIL |Logic&| NIL |RetractableTo&| - |SetCategory&| NIL NIL NIL NIL NIL NIL NIL NIL - NIL |BasicType&| NIL) + |SemiGroup&| NIL |Logic&| NIL NIL + |RetractableTo&| |SetCategory&| NIL NIL NIL + NIL NIL NIL NIL NIL NIL NIL |BasicType&| NIL) (CONS '#((|IntegerNumberSystem|) (|EuclideanDomain|) (|UniqueFactorizationDomain|) @@ -675,61 +694,63 @@ (|RightLinearSet| $$) (|AbelianSemiGroup|) (|SemiGroup|) (|LeftLinearSet| 5) (|Logic|) - (|RealConstant|) (|RetractableTo| 5) - (|SetCategory|) (|OpenMath|) - (|ConvertibleTo| 102) - (|ConvertibleTo| 100) - (|CombinatorialFunctionCategory|) + (|BooleanLogic|) (|RealConstant|) + (|RetractableTo| 5) (|SetCategory|) + (|OpenMath|) (|Type|) + (|ConvertibleTo| 103) (|ConvertibleTo| 104) + (|CombinatorialFunctionCategory|) (|ConvertibleTo| 105) + (|ConvertibleTo| 107) (|ConvertibleTo| 5) (|CoercibleFrom| $$) (|CoercibleFrom| 5) (|BasicType|) (|CoercibleTo| 33)) - (|makeByteWordVec2| 114 + (|makeByteWordVec2| 116 '(0 5 0 8 1 12 11 0 13 3 12 11 0 14 14 15 2 12 11 0 5 18 1 12 11 0 19 0 20 0 21 2 12 0 14 20 22 1 12 11 0 23 1 12 11 0 24 1 12 11 0 25 1 5 33 0 34 1 0 - 0 5 36 1 9 0 0 53 0 5 0 70 2 83 0 0 0 - 84 2 5 0 0 0 85 2 0 9 0 0 1 1 0 0 0 - 44 1 0 9 0 69 2 0 0 0 0 51 1 0 96 0 - 97 1 0 0 0 1 1 0 9 0 1 2 0 0 0 0 1 2 - 0 101 0 0 1 3 0 0 0 0 0 80 1 0 0 0 1 - 1 0 113 0 1 2 0 9 0 0 1 0 0 60 82 1 0 - 5 0 1 2 0 0 0 0 77 0 0 0 1 1 0 106 0 - 1 1 0 5 0 1 2 0 0 0 0 63 2 0 89 31 90 - 91 1 0 30 31 32 1 0 101 0 1 1 0 99 0 - 1 1 0 9 0 1 1 0 98 0 1 1 0 0 0 95 0 0 - 0 94 2 0 0 0 0 62 1 0 109 107 1 1 0 9 - 0 1 3 0 0 0 0 0 1 2 0 0 0 0 92 1 0 9 - 0 1 2 0 0 0 0 1 3 0 103 0 104 103 1 1 - 0 9 0 71 1 0 9 0 68 1 0 0 0 45 1 0 - 101 0 1 1 0 9 0 81 2 0 108 107 0 1 3 - 0 0 0 0 0 78 0 0 0 42 2 0 0 0 0 73 0 - 0 0 41 2 0 0 0 0 72 1 0 0 0 1 1 0 83 - 0 87 1 0 0 0 76 2 0 0 0 0 1 1 0 0 107 - 1 1 0 14 0 1 2 0 0 0 0 1 0 0 0 1 1 0 - 0 83 86 1 0 0 0 56 1 0 74 0 75 2 0 - 114 114 114 1 2 0 0 0 0 66 1 0 0 107 - 1 1 0 0 0 1 1 0 113 0 1 3 0 111 0 0 0 - 1 2 0 112 0 0 1 2 0 101 0 0 1 2 0 108 - 107 0 1 1 0 9 0 1 1 0 60 0 1 2 0 64 0 - 0 65 1 0 0 0 1 2 0 0 0 60 1 1 0 0 0 - 57 1 0 0 0 1 1 0 100 0 1 1 0 102 0 1 - 1 0 105 0 1 1 0 104 0 1 1 0 5 0 17 1 - 0 0 5 93 1 0 0 0 1 1 0 0 5 93 1 0 33 - 0 35 0 0 60 1 2 0 9 0 0 1 2 0 0 0 0 1 - 2 0 9 0 0 1 0 0 0 40 2 0 9 0 0 1 3 0 - 0 0 0 0 79 1 0 0 0 67 2 0 0 0 0 47 0 - 0 0 7 2 0 0 0 0 50 0 0 0 39 2 0 11 12 - 0 28 3 0 11 12 0 9 29 2 0 14 0 9 27 1 - 0 14 0 26 1 0 0 0 48 1 0 0 0 1 2 0 0 - 0 60 1 2 0 0 0 0 49 2 0 9 0 0 55 2 0 - 9 0 0 52 2 0 9 0 0 43 2 0 9 0 0 54 2 - 0 9 0 0 10 2 0 0 0 0 46 2 0 0 0 0 59 - 1 0 0 0 16 2 0 0 0 0 58 2 0 0 0 60 61 - 2 0 0 0 83 1 2 0 0 0 0 37 2 0 0 5 0 - 38 2 0 0 60 0 1 2 0 0 83 0 1))))) + 0 5 36 1 9 0 0 55 0 5 0 72 2 85 0 0 0 + 86 2 5 0 0 0 87 2 0 9 0 0 1 1 0 0 0 + 44 1 0 9 0 71 2 0 0 0 0 53 1 0 98 0 + 99 1 0 0 0 1 1 0 9 0 1 2 0 0 0 0 1 2 + 0 102 0 0 1 3 0 0 0 0 0 82 1 0 0 0 1 + 1 0 115 0 1 2 0 9 0 0 1 0 0 62 84 1 0 + 5 0 1 2 0 0 0 0 79 0 0 0 1 1 0 108 0 + 1 1 0 5 0 1 2 0 0 0 0 65 1 0 30 31 32 + 2 0 91 31 92 93 1 0 102 0 1 1 0 101 0 + 1 1 0 9 0 1 1 0 100 0 1 0 0 0 96 1 0 + 0 0 97 2 0 0 0 0 64 1 0 111 109 1 1 0 + 9 0 1 3 0 0 0 0 0 1 2 0 0 0 0 94 1 0 + 9 0 1 2 0 0 0 0 1 3 0 106 0 105 106 1 + 2 0 0 0 0 52 1 0 9 0 73 1 0 9 0 70 1 + 0 0 0 45 1 0 102 0 1 1 0 9 0 83 2 0 + 110 109 0 1 3 0 0 0 0 0 80 0 0 0 42 2 + 0 0 0 0 75 0 0 0 41 2 0 0 0 0 74 1 0 + 0 0 1 1 0 85 0 89 1 0 0 0 78 2 0 0 0 + 0 1 1 0 0 109 1 1 0 14 0 1 2 0 0 0 0 + 1 0 0 0 1 1 0 0 85 88 1 0 0 0 58 1 0 + 76 0 77 2 0 116 116 116 1 2 0 0 0 0 + 68 1 0 0 109 1 1 0 0 0 1 1 0 115 0 1 + 3 0 113 0 0 0 1 2 0 114 0 0 1 2 0 102 + 0 0 1 2 0 110 109 0 1 1 0 9 0 1 1 0 + 62 0 1 2 0 66 0 0 67 1 0 0 0 1 2 0 0 + 0 62 1 1 0 0 0 59 1 0 0 0 1 1 0 103 0 + 1 1 0 104 0 1 1 0 105 0 1 1 0 107 0 1 + 1 0 5 0 17 1 0 0 5 95 1 0 0 0 1 1 0 0 + 5 95 1 0 33 0 35 0 0 62 1 2 0 9 0 0 1 + 2 0 0 0 0 1 2 0 9 0 0 1 0 0 0 40 2 0 + 9 0 0 1 2 0 0 0 0 50 3 0 0 0 0 0 81 1 + 0 0 0 69 2 0 0 0 0 47 0 0 0 7 2 0 0 0 + 0 51 0 0 0 39 3 0 11 12 0 9 29 2 0 14 + 0 9 27 2 0 11 12 0 28 1 0 14 0 26 1 0 + 0 0 48 1 0 0 0 1 2 0 0 0 62 1 2 0 0 0 + 0 49 2 0 9 0 0 57 2 0 9 0 0 54 2 0 9 + 0 0 43 2 0 9 0 0 56 2 0 9 0 0 10 2 0 + 0 0 0 46 2 0 0 0 0 61 1 0 0 0 16 2 0 + 0 0 0 60 2 0 0 0 62 63 2 0 0 0 85 1 2 + 0 0 0 0 37 2 0 0 5 0 38 2 0 0 62 0 1 + 2 0 0 85 0 1))))) '|lookupComplete|)) (MAKEPROP '|SingleInteger| 'NILADIC T) |