From 2676acdd33957fe60f54ff9ec73fac8b7a6ed705 Mon Sep 17 00:00:00 2001 From: dos-reis Date: Mon, 26 Jul 2010 06:54:30 +0000 Subject: * algebra/si.spad.pamphlet (SingleInteger): Tidy. * interp/g-opt.boot (simplifyVMForm): Expand %icst0 and %icst1. (optIlt): Fold more configurations. --- src/algebra/strap/SINT.lsp | 326 ++++++++++++++++++++++----------------------- 1 file changed, 156 insertions(+), 170 deletions(-) (limited to 'src/algebra/strap/SINT.lsp') diff --git a/src/algebra/strap/SINT.lsp b/src/algebra/strap/SINT.lsp index 44f7224c..071264f8 100644 --- a/src/algebra/strap/SINT.lsp +++ b/src/algebra/strap/SINT.lsp @@ -108,12 +108,13 @@ (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Boolean|) |SINT;<;2$B;26|)) -(PUT '|SINT;<;2$B;26| '|SPADreplace| 'QSLESSP) +(PUT '|SINT;<;2$B;26| '|SPADreplace| '|%ilt|) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Boolean|) |SINT;>;2$B;27|)) -(PUT '|SINT;>;2$B;27| '|SPADreplace| 'QSGREATERP) +(PUT '|SINT;>;2$B;27| '|SPADreplace| + '(XLAM (|x| |y|) (|%ilt| |y| |x|))) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Boolean|) |SINT;<=;2$B;28|)) @@ -139,22 +140,22 @@ (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) |SINT;-;2$;32|)) -(PUT '|SINT;-;2$;32| '|SPADreplace| 'QSMINUS) +(PUT '|SINT;-;2$;32| '|SPADreplace| '|%ineg|) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) |SINT;+;3$;33|)) -(PUT '|SINT;+;3$;33| '|SPADreplace| 'QSPLUS) +(PUT '|SINT;+;3$;33| '|SPADreplace| '|%iadd|) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) |SINT;-;3$;34|)) -(PUT '|SINT;-;3$;34| '|SPADreplace| 'QSDIFFERENCE) +(PUT '|SINT;-;3$;34| '|SPADreplace| '|%isub|) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) |SINT;*;3$;35|)) -(PUT '|SINT;*;3$;35| '|SPADreplace| 'QSTIMES) +(PUT '|SINT;*;3$;35| '|SPADreplace| '|%imul|) (DECLAIM (FTYPE (FUNCTION (|%Short| (|%IntegerSection| 0) |%Shell|) |%Short|) @@ -181,12 +182,12 @@ (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) |SINT;abs;2$;41|)) -(PUT '|SINT;abs;2$;41| '|SPADreplace| 'QSABSVAL) +(PUT '|SINT;abs;2$;41| '|SPADreplace| '|%iabs|) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Boolean|) |SINT;odd?;$B;42|)) -(PUT '|SINT;odd?;$B;42| '|SPADreplace| 'QSODDP) +(PUT '|SINT;odd?;$B;42| '|SPADreplace| '|%iodd?|) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Boolean|) |SINT;zero?;$B;43|)) @@ -199,17 +200,17 @@ (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) |SINT;max;3$;45|)) -(PUT '|SINT;max;3$;45| '|SPADreplace| 'QSMAX) +(PUT '|SINT;max;3$;45| '|SPADreplace| '|%imax|) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) |SINT;min;3$;46|)) -(PUT '|SINT;min;3$;46| '|SPADreplace| 'QSMIN) +(PUT '|SINT;min;3$;46| '|SPADreplace| '|%imin|) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) |SINT;hash;2$;47|)) -(PUT '|SINT;hash;2$;47| '|SPADreplace| 'HASHEQ) +(PUT '|SINT;hash;2$;47| '|SPADreplace| '|%hash|) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) |SINT;length;2$;48|)) @@ -288,54 +289,54 @@ (DEFUN |SINT;writeOMSingleInt| (|dev| |x| $) (SEQ (COND - ((QSLESSP |x| 0) - (SEQ (SPADCALL |dev| (|getShellEntry| $ 13)) + ((QSMINUSP |x|) + (SEQ (SPADCALL |dev| (|getShellEntry| $ 11)) (SPADCALL |dev| "arith1" "unaryminus" - (|getShellEntry| $ 15)) - (SPADCALL |dev| (QSMINUS |x|) (|getShellEntry| $ 18)) - (EXIT (SPADCALL |dev| (|getShellEntry| $ 19))))) - (T (SPADCALL |dev| |x| (|getShellEntry| $ 18)))))) + (|getShellEntry| $ 13)) + (SPADCALL |dev| (- |x|) (|getShellEntry| $ 16)) + (EXIT (SPADCALL |dev| (|getShellEntry| $ 17))))) + (T (SPADCALL |dev| |x| (|getShellEntry| $ 16)))))) (DEFUN |SINT;OMwrite;$S;2| (|x| $) (LET* ((|s| "") (|sp| (OM-STRINGTOSTRINGPTR |s|)) - (|dev| (SPADCALL |sp| (SPADCALL (|getShellEntry| $ 21)) - (|getShellEntry| $ 22)))) - (SEQ (SPADCALL |dev| (|getShellEntry| $ 23)) + (|dev| (SPADCALL |sp| (SPADCALL (|getShellEntry| $ 19)) + (|getShellEntry| $ 20)))) + (SEQ (SPADCALL |dev| (|getShellEntry| $ 21)) (|SINT;writeOMSingleInt| |dev| |x| $) - (SPADCALL |dev| (|getShellEntry| $ 24)) - (SPADCALL |dev| (|getShellEntry| $ 25)) + (SPADCALL |dev| (|getShellEntry| $ 22)) + (SPADCALL |dev| (|getShellEntry| $ 23)) (SETQ |s| (OM-STRINGPTRTOSTRING |sp|)) (EXIT |s|)))) (DEFUN |SINT;OMwrite;$BS;3| (|x| |wholeObj| $) (LET* ((|s| "") (|sp| (OM-STRINGTOSTRINGPTR |s|)) - (|dev| (SPADCALL |sp| (SPADCALL (|getShellEntry| $ 21)) - (|getShellEntry| $ 22)))) - (SEQ (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 23)))) + (|dev| (SPADCALL |sp| (SPADCALL (|getShellEntry| $ 19)) + (|getShellEntry| $ 20)))) + (SEQ (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 21)))) (|SINT;writeOMSingleInt| |dev| |x| $) - (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 24)))) - (SPADCALL |dev| (|getShellEntry| $ 25)) + (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 22)))) + (SPADCALL |dev| (|getShellEntry| $ 23)) (SETQ |s| (OM-STRINGPTRTOSTRING |sp|)) (EXIT |s|)))) (DEFUN |SINT;OMwrite;Omd$V;4| (|dev| |x| $) - (SEQ (SPADCALL |dev| (|getShellEntry| $ 23)) + (SEQ (SPADCALL |dev| (|getShellEntry| $ 21)) (|SINT;writeOMSingleInt| |dev| |x| $) - (EXIT (SPADCALL |dev| (|getShellEntry| $ 24))))) + (EXIT (SPADCALL |dev| (|getShellEntry| $ 22))))) (DEFUN |SINT;OMwrite;Omd$BV;5| (|dev| |x| |wholeObj| $) - (SEQ (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 23)))) + (SEQ (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 21)))) (|SINT;writeOMSingleInt| |dev| |x| $) (EXIT (COND - (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 24))))))) + (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 22))))))) (DEFUN |SINT;reducedSystem;MM;6| (|m| $) (DECLARE (IGNORE $)) |m|) (DEFUN |SINT;coerce;$Of;7| (|x| $) - (SPADCALL |x| (|getShellEntry| $ 34))) + (SPADCALL |x| (|getShellEntry| $ 32))) (DEFUN |SINT;convert;$I;8| (|x| $) (DECLARE (IGNORE $)) |x|) (DEFUN |SINT;*;I2$;9| (|i| |y| $) - (QSTIMES (SPADCALL |i| (|getShellEntry| $ 36)) |y|)) + (* (SPADCALL |i| (|getShellEntry| $ 34)) |y|)) (DEFUN |SINT;Zero;$;10| ($) (DECLARE (IGNORE $)) 0) @@ -383,13 +384,9 @@ (DECLARE (IGNORE $)) (LOGXOR |x| |y|)) -(DEFUN |SINT;<;2$B;26| (|x| |y| $) - (DECLARE (IGNORE $)) - (QSLESSP |x| |y|)) +(DEFUN |SINT;<;2$B;26| (|x| |y| $) (DECLARE (IGNORE $)) (< |x| |y|)) -(DEFUN |SINT;>;2$B;27| (|x| |y| $) - (DECLARE (IGNORE $)) - (QSGREATERP |x| |y|)) +(DEFUN |SINT;>;2$B;27| (|x| |y| $) (DECLARE (IGNORE $)) (< |y| |x|)) (DEFUN |SINT;<=;2$B;28| (|x| |y| $) (DECLARE (IGNORE $)) @@ -403,22 +400,16 @@ (DEFUN |SINT;dec;2$;31| (|x| $) (DECLARE (IGNORE $)) (QSSUB1 |x|)) -(DEFUN |SINT;-;2$;32| (|x| $) (DECLARE (IGNORE $)) (QSMINUS |x|)) +(DEFUN |SINT;-;2$;32| (|x| $) (DECLARE (IGNORE $)) (- |x|)) -(DEFUN |SINT;+;3$;33| (|x| |y| $) - (DECLARE (IGNORE $)) - (QSPLUS |x| |y|)) +(DEFUN |SINT;+;3$;33| (|x| |y| $) (DECLARE (IGNORE $)) (+ |x| |y|)) -(DEFUN |SINT;-;3$;34| (|x| |y| $) - (DECLARE (IGNORE $)) - (QSDIFFERENCE |x| |y|)) +(DEFUN |SINT;-;3$;34| (|x| |y| $) (DECLARE (IGNORE $)) (- |x| |y|)) -(DEFUN |SINT;*;3$;35| (|x| |y| $) - (DECLARE (IGNORE $)) - (QSTIMES |x| |y|)) +(DEFUN |SINT;*;3$;35| (|x| |y| $) (DECLARE (IGNORE $)) (* |x| |y|)) (DEFUN |SINT;**;$Nni$;36| (|x| |n| $) - (SPADCALL (EXPT |x| |n|) (|getShellEntry| $ 36))) + (SPADCALL (EXPT |x| |n|) (|getShellEntry| $ 34))) (DEFUN |SINT;quo;3$;37| (|x| |y| $) (DECLARE (IGNORE $)) @@ -435,9 +426,9 @@ (DECLARE (IGNORE $)) (GCD |x| |y|)) -(DEFUN |SINT;abs;2$;41| (|x| $) (DECLARE (IGNORE $)) (QSABSVAL |x|)) +(DEFUN |SINT;abs;2$;41| (|x| $) (DECLARE (IGNORE $)) (ABS |x|)) -(DEFUN |SINT;odd?;$B;42| (|x| $) (DECLARE (IGNORE $)) (QSODDP |x|)) +(DEFUN |SINT;odd?;$B;42| (|x| $) (DECLARE (IGNORE $)) (ODDP |x|)) (DEFUN |SINT;zero?;$B;43| (|x| $) (DECLARE (IGNORE $)) (QSZEROP |x|)) @@ -445,13 +436,13 @@ (DEFUN |SINT;max;3$;45| (|x| |y| $) (DECLARE (IGNORE $)) - (QSMAX |x| |y|)) + (MAX |x| |y|)) (DEFUN |SINT;min;3$;46| (|x| |y| $) (DECLARE (IGNORE $)) - (QSMIN |x| |y|)) + (MIN |x| |y|)) -(DEFUN |SINT;hash;2$;47| (|x| $) (DECLARE (IGNORE $)) (HASHEQ |x|)) +(DEFUN |SINT;hash;2$;47| (|x| $) (DECLARE (IGNORE $)) (SXHASH |x|)) (DEFUN |SINT;length;2$;48| (|x| $) (DECLARE (IGNORE $)) @@ -482,7 +473,7 @@ (+ (- |$ShortMaximum| |$ShortMinimum|) 1)) (DEFUN |SINT;index;Pi$;55| (|i| $) - (LET ((#0=#:G1461 (- (+ |i| |$ShortMinimum|) 1))) + (LET ((#0=#:G1464 (- (+ |i| |$ShortMinimum|) 1))) (|check-subtype| (SMINTP #0#) '(|SingleInteger|) #0#))) (DEFUN |SINT;lookup;$Pi;56| (|x| $) @@ -497,9 +488,7 @@ (LET ((|r| (QSREMAINDER |x| |n|))) (COND ((QSMINUSP |r|) - (COND - ((QSMINUSP |n|) (QSDIFFERENCE |x| |n|)) - (T (QSPLUS |r| |n|)))) + (COND ((QSMINUSP |n|) (- |x| |n|)) (T (+ |r| |n|)))) (T |r|)))) (DEFUN |SINT;coerce;I$;59| (|x| $) @@ -514,13 +503,11 @@ (DEFUN |SINT;random;2$;61| (|n| $) (DECLARE (IGNORE $)) (RANDOM |n|)) (DEFUN |SINT;unitNormal;$R;62| (|x| $) - (COND - ((QSLESSP |x| 0) (VECTOR (QSMINUS 1) (QSMINUS |x|) (QSMINUS 1))) - (T (VECTOR 1 |x| 1)))) + (COND ((QSMINUSP |x|) (VECTOR -1 (- |x|) -1)) (T (VECTOR 1 |x| 1)))) (DEFUN |SingleInteger| () (DECLARE (SPECIAL |$ConstructorCache|)) - (PROG (#0=#:G1495) + (PROG (#0=#:G1499) (RETURN (COND ((SETQ #0# (HGET |$ConstructorCache| '|SingleInteger|)) @@ -534,7 +521,7 @@ ((NOT #0#) (HREM |$ConstructorCache| '|SingleInteger|))))))))) (DEFUN |SingleInteger;| () - (LET ((|dv$| (LIST '|SingleInteger|)) ($ (|newShell| 116)) + (LET ((|dv$| (LIST '|SingleInteger|)) ($ (|newShell| 114)) (|pv$| (|buildPredVector| 0 0 NIL))) (DECLARE (SPECIAL |$ConstructorCache|)) (|setShellEntry| $ 0 |dv$|) @@ -545,21 +532,20 @@ $)) (MAKEPROP '|SingleInteger| '|infovec| - (LIST '#(NIL NIL NIL NIL NIL (|Integer|) '|seed| - (CONS IDENTITY - (FUNCALL (|dispatchFunction| |SINT;Zero;$;10|) $)) - (0 . |Zero|) (|Boolean|) |SINT;<;2$B;26| (|Void|) - (|OpenMathDevice|) (4 . |OMputApp|) (|String|) - (9 . |OMputSymbol|) |SINT;-;2$;32| |SINT;convert;$I;8| - (16 . |OMputInteger|) (22 . |OMputEndApp|) - (|OpenMathEncoding|) (27 . |OMencodingXML|) - (31 . |OMopenString|) (37 . |OMputObject|) - (42 . |OMputEndObject|) (47 . |OMclose|) - |SINT;OMwrite;$S;2| |SINT;OMwrite;$BS;3| + (LIST '#(NIL NIL NIL NIL NIL (|Integer|) '|seed| (|Boolean|) + |SINT;negative?;$B;53| (|Void|) (|OpenMathDevice|) + (0 . |OMputApp|) (|String|) (5 . |OMputSymbol|) + |SINT;-;2$;32| |SINT;convert;$I;8| (12 . |OMputInteger|) + (18 . |OMputEndApp|) (|OpenMathEncoding|) + (23 . |OMencodingXML|) (27 . |OMopenString|) + (33 . |OMputObject|) (38 . |OMputEndObject|) + (43 . |OMclose|) |SINT;OMwrite;$S;2| |SINT;OMwrite;$BS;3| |SINT;OMwrite;Omd$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$;35| |SINT;*;I2$;9| + (|OutputForm|) (48 . |coerce|) |SINT;coerce;$Of;7| + (53 . |coerce|) |SINT;*;I2$;9| + (CONS IDENTITY + (FUNCALL (|dispatchFunction| |SINT;Zero;$;10|) $)) (CONS IDENTITY (FUNCALL (|dispatchFunction| |SINT;One;$;11|) $)) |SINT;base;$;12| @@ -570,59 +556,59 @@ |SINT;=;2$B;15| |SINT;~;2$;16| |SINT;not;2$;17| |SINT;/\\;3$;18| |SINT;\\/;3$;19| |SINT;Not;2$;20| |SINT;And;3$;21| |SINT;and;3$;22| |SINT;Or;3$;23| - |SINT;or;3$;24| |SINT;xor;3$;25| |SINT;>;2$B;27| - |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| + |SINT;or;3$;24| |SINT;xor;3$;25| |SINT;<;2$B;26| + |SINT;>;2$B;27| |SINT;<=;2$B;28| |SINT;>=;2$B;29| + |SINT;inc;2$;30| |SINT;dec;2$;31| |SINT;+;3$;33| + |SINT;-;3$;34| |SINT;*;3$;35| (|NonNegativeInteger|) + |SINT;**;$Nni$;36| |SINT;quo;3$;37| |SINT;rem;3$;38| (|Record| (|:| |quotient| $) (|:| |remainder| $)) |SINT;divide;2$R;39| |SINT;gcd;3$;40| |SINT;abs;2$;41| - |SINT;odd?;$B;42| |SINT;zero?;$B;43| (62 . |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|) (66 . +) (72 . -) - |SINT;index;Pi$;55| |SINT;lookup;$Pi;56| (|Vector| 5) - (|Record| (|:| |mat| 30) (|:| |vec| 89)) (|Vector| $) - |SINT;reducedSystem;MVR;57| |SINT;positiveRemainder;3$;58| - |SINT;coerce;I$;59| |SINT;random;$;60| |SINT;random;2$;61| + |SINT;odd?;$B;42| |SINT;zero?;$B;43| |SINT;one?;$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;size;Nni;54| (|PositiveInteger|) + (58 . +) (64 . -) |SINT;index;Pi$;55| |SINT;lookup;$Pi;56| + (|Vector| 5) (|Record| (|:| |mat| 28) (|:| |vec| 87)) + (|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;62| (|Fraction| 5) - (|Union| 99 '"failed") (|Union| $ '"failed") (|Float|) + (|Union| 97 '"failed") (|Union| $ '"failed") (|Float|) (|DoubleFloat|) (|PatternMatchResult| 5 $) (|Pattern| 5) (|InputForm|) (|Union| 5 '"failed") (|List| $) - (|Union| 108 '"failed") - (|Record| (|:| |coef| 108) (|:| |generator| $)) + (|Union| 106 '"failed") + (|Record| (|:| |coef| 106) (|:| |generator| $)) (|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $)) (|Record| (|:| |coef1| $) (|:| |coef2| $)) - (|Union| 112 '"failed") (|Factored| $) + (|Union| 110 '"failed") (|Factored| $) (|SparseUnivariatePolynomial| $)) - '#(~= 78 ~ 84 |zero?| 89 |xor| 94 |unitNormal| 100 - |unitCanonical| 105 |unit?| 110 |symmetricRemainder| 115 - |subtractIfCan| 121 |submod| 127 |squareFreePart| 134 - |squareFree| 139 |sizeLess?| 144 |size| 150 |sign| 154 - |shift| 159 |sample| 165 |retractIfCan| 169 |retract| 174 - |rem| 179 |reducedSystem| 185 |recip| 196 |rationalIfCan| - 201 |rational?| 206 |rational| 211 |random| 216 |quo| 225 - |principalIdeal| 231 |prime?| 236 |powmod| 241 - |positiveRemainder| 248 |positive?| 254 |permutation| 259 - |patternMatch| 265 |or| 272 |one?| 278 |odd?| 283 |not| - 288 |nextItem| 293 |negative?| 298 |multiEuclidean| 303 - |mulmod| 309 |min| 316 |max| 326 |mask| 336 |lookup| 341 - |length| 346 |leftReducedSystem| 351 |lcm| 362 |latex| 373 - |invmod| 378 |init| 384 |index| 388 |inc| 393 |hash| 398 - |gcdPolynomial| 403 |gcd| 409 |factorial| 420 |factor| 425 - |extendedEuclidean| 430 |exquo| 443 |expressIdealMember| - 449 |even?| 455 |euclideanSize| 460 |divide| 465 - |differentiate| 471 |dec| 482 |copy| 487 |convert| 492 - |coerce| 517 |characteristic| 537 |bit?| 541 |binomial| - 547 |before?| 553 |base| 559 |associates?| 563 |and| 569 - |addmod| 575 |abs| 582 |\\/| 587 |Zero| 593 |Or| 597 |One| - 603 |OMwrite| 607 |Not| 631 D 636 |And| 647 >= 653 > 659 = - 665 <= 671 < 677 |/\\| 683 - 689 + 700 ** 706 * 718) + '#(~= 70 ~ 76 |zero?| 81 |xor| 86 |unitNormal| 92 + |unitCanonical| 97 |unit?| 102 |symmetricRemainder| 107 + |subtractIfCan| 113 |submod| 119 |squareFreePart| 126 + |squareFree| 131 |sizeLess?| 136 |size| 142 |sign| 146 + |shift| 151 |sample| 157 |retractIfCan| 161 |retract| 166 + |rem| 171 |reducedSystem| 177 |recip| 188 |rationalIfCan| + 193 |rational?| 198 |rational| 203 |random| 208 |quo| 217 + |principalIdeal| 223 |prime?| 228 |powmod| 233 + |positiveRemainder| 240 |positive?| 246 |permutation| 251 + |patternMatch| 257 |or| 264 |one?| 270 |odd?| 275 |not| + 280 |nextItem| 285 |negative?| 290 |multiEuclidean| 295 + |mulmod| 301 |min| 308 |max| 318 |mask| 328 |lookup| 333 + |length| 338 |leftReducedSystem| 343 |lcm| 354 |latex| 365 + |invmod| 370 |init| 376 |index| 380 |inc| 385 |hash| 390 + |gcdPolynomial| 395 |gcd| 401 |factorial| 412 |factor| 417 + |extendedEuclidean| 422 |exquo| 435 |expressIdealMember| + 441 |even?| 447 |euclideanSize| 452 |divide| 457 + |differentiate| 463 |dec| 474 |copy| 479 |convert| 484 + |coerce| 509 |characteristic| 529 |bit?| 533 |binomial| + 539 |before?| 545 |base| 551 |associates?| 555 |and| 561 + |addmod| 567 |abs| 574 |\\/| 579 |Zero| 585 |Or| 589 |One| + 595 |OMwrite| 599 |Not| 623 D 628 |And| 639 >= 645 > 651 = + 657 <= 663 < 669 |/\\| 675 - 681 + 692 ** 698 * 710) '((|noetherian| . 0) (|canonicalsClosed| . 0) (|canonical| . 0) (|canonicalUnitNormal| . 0) (|multiplicativeValuation| . 0) (|noZeroDivisors| . 0) @@ -676,60 +662,60 @@ (|SetCategory|) (|BooleanLogic|) (|RealConstant|) (|RetractableTo| 5) (|DifferentialDomain| $$) (|BasicType|) - (|OpenMath|) (|ConvertibleTo| 102) - (|ConvertibleTo| 103) + (|OpenMath|) (|ConvertibleTo| 100) + (|ConvertibleTo| 101) (|CombinatorialFunctionCategory|) - (|ConvertibleTo| 105) - (|ConvertibleTo| 106) + (|ConvertibleTo| 103) + (|ConvertibleTo| 104) (|ConvertibleTo| 5) (|CoercibleFrom| $$) (|CoercibleFrom| 5) (|Type|) - (|CoercibleTo| 33)) - (|makeByteWordVec2| 115 - '(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 0 5 0 71 2 84 0 0 0 85 2 5 0 0 - 0 86 2 0 9 0 0 1 1 0 0 0 44 1 0 9 0 - 70 2 0 0 0 0 53 1 0 97 0 98 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 81 1 0 0 0 1 1 0 114 0 1 2 - 0 9 0 0 1 0 0 61 83 1 0 5 0 1 2 0 0 0 - 0 78 0 0 0 1 1 0 107 0 1 1 0 5 0 1 2 - 0 0 0 0 64 1 0 30 31 32 2 0 90 31 91 - 92 1 0 101 0 1 1 0 100 0 1 1 0 9 0 1 - 1 0 99 0 1 0 0 0 95 1 0 0 0 96 2 0 0 - 0 0 63 1 0 110 108 1 1 0 9 0 1 3 0 0 - 0 0 0 1 2 0 0 0 0 93 1 0 9 0 1 2 0 0 - 0 0 1 3 0 104 0 105 104 1 2 0 0 0 0 - 52 1 0 9 0 72 1 0 9 0 69 1 0 0 0 45 1 - 0 101 0 1 1 0 9 0 82 2 0 109 108 0 1 - 3 0 0 0 0 0 79 0 0 0 42 2 0 0 0 0 74 - 0 0 0 41 2 0 0 0 0 73 1 0 0 0 1 1 0 - 84 0 88 1 0 0 0 77 1 0 30 91 1 2 0 90 - 91 0 1 1 0 0 108 1 2 0 0 0 0 1 1 0 14 - 0 1 2 0 0 0 0 1 0 0 0 1 1 0 0 84 87 1 - 0 0 0 57 1 0 75 0 76 2 0 115 115 115 - 1 1 0 0 108 1 2 0 0 0 0 67 1 0 0 0 1 - 1 0 114 0 1 2 0 111 0 0 1 3 0 113 0 0 - 0 1 2 0 101 0 0 1 2 0 109 108 0 1 1 0 - 9 0 1 1 0 61 0 1 2 0 65 0 0 66 2 0 0 - 0 61 1 1 0 0 0 1 1 0 0 0 58 1 0 0 0 1 - 1 0 102 0 1 1 0 103 0 1 1 0 106 0 1 1 - 0 105 0 1 1 0 5 0 17 1 0 0 5 94 1 0 0 - 0 1 1 0 0 5 94 1 0 33 0 35 0 0 61 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 80 1 0 0 0 68 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 2 0 0 0 61 1 1 0 0 - 0 1 2 0 0 0 0 49 2 0 9 0 0 56 2 0 9 0 - 0 54 2 0 9 0 0 43 2 0 9 0 0 55 2 0 9 - 0 0 10 2 0 0 0 0 46 1 0 0 0 16 2 0 0 - 0 0 60 2 0 0 0 0 59 2 0 0 0 61 62 2 0 - 0 0 84 1 2 0 0 5 0 38 2 0 0 0 0 37 2 - 0 0 5 0 38 2 0 0 61 0 1 2 0 0 84 0 1))))) + (|CoercibleTo| 31)) + (|makeByteWordVec2| 113 + '(1 10 9 0 11 3 10 9 0 12 12 13 2 10 9 + 0 5 16 1 10 9 0 17 0 18 0 19 2 10 0 + 12 18 20 1 10 9 0 21 1 10 9 0 22 1 10 + 9 0 23 1 5 31 0 32 1 0 0 5 34 2 82 0 + 0 0 83 2 5 0 0 0 84 2 0 7 0 0 1 1 0 0 + 0 42 1 0 7 0 70 2 0 0 0 0 51 1 0 95 0 + 96 1 0 0 0 1 1 0 7 0 1 2 0 0 0 0 1 2 + 0 99 0 0 1 3 0 0 0 0 0 80 1 0 0 0 1 1 + 0 112 0 1 2 0 7 0 0 1 0 0 61 81 1 0 5 + 0 1 2 0 0 0 0 77 0 0 0 1 1 0 105 0 1 + 1 0 5 0 1 2 0 0 0 0 64 1 0 28 29 30 2 + 0 88 29 89 90 1 0 99 0 1 1 0 98 0 1 1 + 0 7 0 1 1 0 97 0 1 0 0 0 93 1 0 0 0 + 94 2 0 0 0 0 63 1 0 108 106 1 1 0 7 0 + 1 3 0 0 0 0 0 1 2 0 0 0 0 91 1 0 7 0 + 1 2 0 0 0 0 1 3 0 102 0 103 102 1 2 0 + 0 0 0 50 1 0 7 0 71 1 0 7 0 69 1 0 0 + 0 43 1 0 99 0 1 1 0 7 0 8 2 0 107 106 + 0 1 3 0 0 0 0 0 78 0 0 0 40 2 0 0 0 0 + 73 0 0 0 39 2 0 0 0 0 72 1 0 0 0 1 1 + 0 82 0 86 1 0 0 0 76 1 0 28 89 1 2 0 + 88 89 0 1 1 0 0 106 1 2 0 0 0 0 1 1 0 + 12 0 1 2 0 0 0 0 1 0 0 0 1 1 0 0 82 + 85 1 0 0 0 56 1 0 74 0 75 2 0 113 113 + 113 1 1 0 0 106 1 2 0 0 0 0 67 1 0 0 + 0 1 1 0 112 0 1 2 0 109 0 0 1 3 0 111 + 0 0 0 1 2 0 99 0 0 1 2 0 107 106 0 1 + 1 0 7 0 1 1 0 61 0 1 2 0 65 0 0 66 2 + 0 0 0 61 1 1 0 0 0 1 1 0 0 0 57 1 0 0 + 0 1 1 0 100 0 1 1 0 101 0 1 1 0 104 0 + 1 1 0 103 0 1 1 0 5 0 15 1 0 0 5 92 1 + 0 0 0 1 1 0 0 5 92 1 0 31 0 33 0 0 61 + 1 2 0 7 0 0 1 2 0 0 0 0 1 2 0 7 0 0 1 + 0 0 0 38 2 0 7 0 0 1 2 0 0 0 0 48 3 0 + 0 0 0 0 79 1 0 0 0 68 2 0 0 0 0 45 0 + 0 0 36 2 0 0 0 0 49 0 0 0 37 3 0 9 10 + 0 7 27 2 0 12 0 7 25 2 0 9 10 0 26 1 + 0 12 0 24 1 0 0 0 46 2 0 0 0 61 1 1 0 + 0 0 1 2 0 0 0 0 47 2 0 7 0 0 55 2 0 7 + 0 0 53 2 0 7 0 0 41 2 0 7 0 0 54 2 0 + 7 0 0 52 2 0 0 0 0 44 1 0 0 0 14 2 0 + 0 0 0 59 2 0 0 0 0 58 2 0 0 0 61 62 2 + 0 0 0 82 1 2 0 0 5 0 35 2 0 0 0 0 60 + 2 0 0 5 0 35 2 0 0 61 0 1 2 0 0 82 0 + 1))))) '|lookupComplete|)) (MAKEPROP '|SingleInteger| 'NILADIC T) -- cgit v1.2.3