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-rw-r--r--src/algebra/strap/INT.lsp359
1 files changed, 189 insertions, 170 deletions
diff --git a/src/algebra/strap/INT.lsp b/src/algebra/strap/INT.lsp
index 038285e5..6ec84ec3 100644
--- a/src/algebra/strap/INT.lsp
+++ b/src/algebra/strap/INT.lsp
@@ -149,87 +149,98 @@
(PUT '|INT;<;2$B;35| '|SPADreplace| '<)
+(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Boolean|)
+ |INT;>;2$B;36|))
+
+(PUT '|INT;>;2$B;36| '|SPADreplace| '>)
+
+(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Boolean|)
+ |INT;<=;2$B;37|))
+
+(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Boolean|)
+ |INT;>=;2$B;38|))
+
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Integer|)
- |INT;-;2$;36|))
+ |INT;-;2$;39|))
-(PUT '|INT;-;2$;36| '|SPADreplace| '-)
+(PUT '|INT;-;2$;39| '|SPADreplace| '-)
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|)
- |INT;+;3$;37|))
+ |INT;+;3$;40|))
-(PUT '|INT;+;3$;37| '|SPADreplace| '+)
+(PUT '|INT;+;3$;40| '|SPADreplace| '+)
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|)
- |INT;-;3$;38|))
+ |INT;-;3$;41|))
-(PUT '|INT;-;3$;38| '|SPADreplace| '-)
+(PUT '|INT;-;3$;41| '|SPADreplace| '-)
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|)
- |INT;*;3$;39|))
+ |INT;*;3$;42|))
-(PUT '|INT;*;3$;39| '|SPADreplace| '*)
+(PUT '|INT;*;3$;42| '|SPADreplace| '*)
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|)
- |INT;*;3$;40|))
+ |INT;*;3$;43|))
-(PUT '|INT;*;3$;40| '|SPADreplace| '*)
+(PUT '|INT;*;3$;43| '|SPADreplace| '*)
(DECLAIM (FTYPE (FUNCTION (|%Integer| (|%IntegerSection| 0) |%Shell|)
|%Integer|)
- |INT;**;$Nni$;41|))
+ |INT;**;$Nni$;44|))
-(PUT '|INT;**;$Nni$;41| '|SPADreplace| 'EXPT)
+(PUT '|INT;**;$Nni$;44| '|SPADreplace| 'EXPT)
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Boolean|)
- |INT;odd?;$B;42|))
+ |INT;odd?;$B;45|))
-(PUT '|INT;odd?;$B;42| '|SPADreplace| 'ODDP)
+(PUT '|INT;odd?;$B;45| '|SPADreplace| 'ODDP)
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|)
- |INT;max;3$;43|))
+ |INT;max;3$;46|))
-(PUT '|INT;max;3$;43| '|SPADreplace| 'MAX)
+(PUT '|INT;max;3$;46| '|SPADreplace| 'MAX)
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|)
- |INT;min;3$;44|))
+ |INT;min;3$;47|))
-(PUT '|INT;min;3$;44| '|SPADreplace| 'MIN)
+(PUT '|INT;min;3$;47| '|SPADreplace| 'MIN)
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Pair|)
- |INT;divide;2$R;45|))
+ |INT;divide;2$R;48|))
-(PUT '|INT;divide;2$R;45| '|SPADreplace| 'DIVIDE2)
+(PUT '|INT;divide;2$R;48| '|SPADreplace| 'DIVIDE2)
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|)
- |INT;quo;3$;46|))
+ |INT;quo;3$;49|))
-(PUT '|INT;quo;3$;46| '|SPADreplace| 'QUOTIENT2)
+(PUT '|INT;quo;3$;49| '|SPADreplace| 'QUOTIENT2)
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|)
- |INT;rem;3$;47|))
+ |INT;rem;3$;50|))
-(PUT '|INT;rem;3$;47| '|SPADreplace| 'REMAINDER2)
+(PUT '|INT;rem;3$;50| '|SPADreplace| 'REMAINDER2)
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|)
- |INT;shift;3$;48|))
+ |INT;shift;3$;51|))
-(PUT '|INT;shift;3$;48| '|SPADreplace| 'ASH)
+(PUT '|INT;shift;3$;51| '|SPADreplace| 'ASH)
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Pair|)
- |INT;recip;$U;49|))
+ |INT;recip;$U;52|))
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|)
- |INT;gcd;3$;50|))
+ |INT;gcd;3$;53|))
-(PUT '|INT;gcd;3$;50| '|SPADreplace| 'GCD)
+(PUT '|INT;gcd;3$;53| '|SPADreplace| 'GCD)
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Shell|)
- |INT;unitNormal;$R;51|))
+ |INT;unitNormal;$R;54|))
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Integer|)
- |INT;unitCanonical;2$;52|))
+ |INT;unitCanonical;2$;55|))
-(PUT '|INT;unitCanonical;2$;52| '|SPADreplace| 'ABS)
+(PUT '|INT;unitCanonical;2$;55| '|SPADreplace| 'ABS)
(DECLAIM (FTYPE (FUNCTION (|%List| |%Thing| |%Shell|) |%Pair|)
|INT;solveLinearPolynomialEquation|))
@@ -244,7 +255,7 @@
|INT;factorSquareFreePolynomial|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
- |INT;gcdPolynomial;3Sup;57|))
+ |INT;gcdPolynomial;3Sup;60|))
(DEFUN |INT;writeOMInt| (|dev| |x| $)
(SEQ (COND
@@ -398,107 +409,113 @@
(DEFUN |INT;<;2$B;35| (|x| |y| $) (DECLARE (IGNORE $)) (< |x| |y|))
-(DEFUN |INT;-;2$;36| (|x| $) (DECLARE (IGNORE $)) (- |x|))
+(DEFUN |INT;>;2$B;36| (|x| |y| $) (DECLARE (IGNORE $)) (> |x| |y|))
+
+(DEFUN |INT;<=;2$B;37| (|x| |y| $) (NOT (> |x| |y|)))
+
+(DEFUN |INT;>=;2$B;38| (|x| |y| $) (NOT (< |x| |y|)))
+
+(DEFUN |INT;-;2$;39| (|x| $) (DECLARE (IGNORE $)) (- |x|))
-(DEFUN |INT;+;3$;37| (|x| |y| $) (DECLARE (IGNORE $)) (+ |x| |y|))
+(DEFUN |INT;+;3$;40| (|x| |y| $) (DECLARE (IGNORE $)) (+ |x| |y|))
-(DEFUN |INT;-;3$;38| (|x| |y| $) (DECLARE (IGNORE $)) (- |x| |y|))
+(DEFUN |INT;-;3$;41| (|x| |y| $) (DECLARE (IGNORE $)) (- |x| |y|))
-(DEFUN |INT;*;3$;39| (|x| |y| $) (DECLARE (IGNORE $)) (* |x| |y|))
+(DEFUN |INT;*;3$;42| (|x| |y| $) (DECLARE (IGNORE $)) (* |x| |y|))
-(DEFUN |INT;*;3$;40| (|m| |y| $) (DECLARE (IGNORE $)) (* |m| |y|))
+(DEFUN |INT;*;3$;43| (|m| |y| $) (DECLARE (IGNORE $)) (* |m| |y|))
-(DEFUN |INT;**;$Nni$;41| (|x| |n| $)
+(DEFUN |INT;**;$Nni$;44| (|x| |n| $)
(DECLARE (IGNORE $))
(EXPT |x| |n|))
-(DEFUN |INT;odd?;$B;42| (|x| $) (DECLARE (IGNORE $)) (ODDP |x|))
+(DEFUN |INT;odd?;$B;45| (|x| $) (DECLARE (IGNORE $)) (ODDP |x|))
-(DEFUN |INT;max;3$;43| (|x| |y| $) (DECLARE (IGNORE $)) (MAX |x| |y|))
+(DEFUN |INT;max;3$;46| (|x| |y| $) (DECLARE (IGNORE $)) (MAX |x| |y|))
-(DEFUN |INT;min;3$;44| (|x| |y| $) (DECLARE (IGNORE $)) (MIN |x| |y|))
+(DEFUN |INT;min;3$;47| (|x| |y| $) (DECLARE (IGNORE $)) (MIN |x| |y|))
-(DEFUN |INT;divide;2$R;45| (|x| |y| $)
+(DEFUN |INT;divide;2$R;48| (|x| |y| $)
(DECLARE (IGNORE $))
(DIVIDE2 |x| |y|))
-(DEFUN |INT;quo;3$;46| (|x| |y| $)
+(DEFUN |INT;quo;3$;49| (|x| |y| $)
(DECLARE (IGNORE $))
(QUOTIENT2 |x| |y|))
-(DEFUN |INT;rem;3$;47| (|x| |y| $)
+(DEFUN |INT;rem;3$;50| (|x| |y| $)
(DECLARE (IGNORE $))
(REMAINDER2 |x| |y|))
-(DEFUN |INT;shift;3$;48| (|x| |y| $)
+(DEFUN |INT;shift;3$;51| (|x| |y| $)
(DECLARE (IGNORE $))
(ASH |x| |y|))
-(DEFUN |INT;recip;$U;49| (|x| $)
+(DEFUN |INT;recip;$U;52| (|x| $)
(COND
((OR (EQL |x| 1) (EQL |x| -1)) (CONS 0 |x|))
('T (CONS 1 "failed"))))
-(DEFUN |INT;gcd;3$;50| (|x| |y| $) (DECLARE (IGNORE $)) (GCD |x| |y|))
+(DEFUN |INT;gcd;3$;53| (|x| |y| $) (DECLARE (IGNORE $)) (GCD |x| |y|))
-(DEFUN |INT;unitNormal;$R;51| (|x| $)
+(DEFUN |INT;unitNormal;$R;54| (|x| $)
(COND ((< |x| 0) (VECTOR -1 (- |x|) -1)) ('T (VECTOR 1 |x| 1))))
-(DEFUN |INT;unitCanonical;2$;52| (|x| $)
+(DEFUN |INT;unitCanonical;2$;55| (|x| $)
(DECLARE (IGNORE $))
(ABS |x|))
(DEFUN |INT;solveLinearPolynomialEquation| (|lp| |p| $)
- (SPADCALL |lp| |p| (|getShellEntry| $ 99)))
+ (SPADCALL |lp| |p| (|getShellEntry| $ 103)))
(DEFUN |INT;squareFreePolynomial| (|p| $)
- (SPADCALL |p| (|getShellEntry| $ 103)))
+ (SPADCALL |p| (|getShellEntry| $ 107)))
(DEFUN |INT;factorPolynomial| (|p| $)
- (PROG (|pp| #0=#:G1498)
+ (PROG (|pp| #0=#:G1501)
(RETURN
- (SEQ (LETT |pp| (SPADCALL |p| (|getShellEntry| $ 104))
+ (SEQ (LETT |pp| (SPADCALL |p| (|getShellEntry| $ 108))
|INT;factorPolynomial|)
(EXIT (COND
- ((EQL (SPADCALL |pp| (|getShellEntry| $ 105))
- (SPADCALL |p| (|getShellEntry| $ 105)))
- (SPADCALL |p| (|getShellEntry| $ 107)))
+ ((EQL (SPADCALL |pp| (|getShellEntry| $ 109))
+ (SPADCALL |p| (|getShellEntry| $ 109)))
+ (SPADCALL |p| (|getShellEntry| $ 111)))
('T
- (SPADCALL (SPADCALL |pp| (|getShellEntry| $ 107))
+ (SPADCALL (SPADCALL |pp| (|getShellEntry| $ 111))
(SPADCALL (CONS #'|INT;factorPolynomial!0| $)
(SPADCALL
(PROG2 (LETT #0#
(SPADCALL
(SPADCALL |p|
- (|getShellEntry| $ 105))
+ (|getShellEntry| $ 109))
(SPADCALL |pp|
- (|getShellEntry| $ 105))
- (|getShellEntry| $ 109))
+ (|getShellEntry| $ 109))
+ (|getShellEntry| $ 113))
|INT;factorPolynomial|)
(QCDR #0#)
(|check-union| (QEQCAR #0# 0) $ #0#))
- (|getShellEntry| $ 111))
- (|getShellEntry| $ 115))
- (|getShellEntry| $ 117)))))))))
+ (|getShellEntry| $ 115))
+ (|getShellEntry| $ 119))
+ (|getShellEntry| $ 121)))))))))
(DEFUN |INT;factorPolynomial!0| (|#1| $)
- (SPADCALL |#1| (|getShellEntry| $ 108)))
+ (SPADCALL |#1| (|getShellEntry| $ 112)))
(DEFUN |INT;factorSquareFreePolynomial| (|p| $)
- (SPADCALL |p| (|getShellEntry| $ 118)))
+ (SPADCALL |p| (|getShellEntry| $ 122)))
-(DEFUN |INT;gcdPolynomial;3Sup;57| (|p| |q| $)
+(DEFUN |INT;gcdPolynomial;3Sup;60| (|p| |q| $)
(COND
- ((SPADCALL |p| (|getShellEntry| $ 119))
- (SPADCALL |q| (|getShellEntry| $ 120)))
- ((SPADCALL |q| (|getShellEntry| $ 119))
- (SPADCALL |p| (|getShellEntry| $ 120)))
- ('T (SPADCALL (LIST |p| |q|) (|getShellEntry| $ 123)))))
+ ((SPADCALL |p| (|getShellEntry| $ 123))
+ (SPADCALL |q| (|getShellEntry| $ 124)))
+ ((SPADCALL |q| (|getShellEntry| $ 123))
+ (SPADCALL |p| (|getShellEntry| $ 124)))
+ ('T (SPADCALL (LIST |p| |q|) (|getShellEntry| $ 127)))))
(DEFUN |Integer| ()
(PROG ()
(RETURN
- (PROG (#0=#:G1523)
+ (PROG (#0=#:G1526)
(RETURN
(COND
((LETT #0# (HGET |$ConstructorCache| '|Integer|) |Integer|)
@@ -517,15 +534,15 @@
(RETURN
(PROGN
(LETT |dv$| '(|Integer|) . #0=(|Integer|))
- (LETT $ (|newShell| 138) . #0#)
+ (LETT $ (|newShell| 142) . #0#)
(|setShellEntry| $ 0 |dv$|)
(|setShellEntry| $ 3
(LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#))
(|haddProp| |$ConstructorCache| '|Integer| NIL (CONS 1 $))
(|stuffDomainSlots| $)
- (|setShellEntry| $ 80
+ (|setShellEntry| $ 84
(|setShellEntry| $ 52
- (CONS (|dispatchFunction| |INT;*;3$;40|) $)))
+ (CONS (|dispatchFunction| |INT;*;3$;43|) $)))
$))))
(MAKEPROP '|Integer| '|infovec|
@@ -535,7 +552,7 @@
(|NonNegativeInteger|) (0 . |Zero|) (|Boolean|)
|INT;<;2$B;35| (|Void|) (|OpenMathDevice|)
(4 . |OMputApp|) (|String|) (9 . |OMputSymbol|)
- |INT;-;2$;36| (|Integer|) (16 . |OMputInteger|)
+ |INT;-;2$;39| (|Integer|) (16 . |OMputInteger|)
(22 . |OMputEndApp|) (|OpenMathEncoding|)
(27 . |OMencodingXML|) (31 . |OMopenString|)
(37 . |OMputObject|) (42 . |OMputEndObject|)
@@ -545,12 +562,12 @@
(CONS IDENTITY
(FUNCALL (|dispatchFunction| |INT;One;$;9|) $))
(52 . |One|) |INT;=;2$B;34| |INT;one?;$B;7|
- |INT;base;$;10| |INT;copy;2$;11| |INT;+;3$;37|
- |INT;inc;2$;12| |INT;-;3$;38| |INT;dec;2$;13|
+ |INT;base;$;10| |INT;copy;2$;11| |INT;+;3$;40|
+ |INT;inc;2$;12| |INT;-;3$;41| |INT;dec;2$;13|
(|SingleInteger|) |INT;hash;$Si;14| |INT;negative?;$B;15|
(|OutputForm|) (56 . |outputForm|) |INT;coerce;$Of;16|
|INT;coerce;2$;17| |INT;convert;2$;18| |INT;length;2$;19|
- |INT;addmod;4$;20| |INT;submod;4$;21| NIL |INT;rem;3$;47|
+ |INT;addmod;4$;20| |INT;submod;4$;21| NIL |INT;rem;3$;50|
|INT;mulmod;4$;22| (|Float|) (61 . |coerce|)
|INT;convert;$F;23| (|DoubleFloat|) (66 . |coerce|)
|INT;convert;$Df;24| (|InputForm|) (71 . |convert|)
@@ -560,61 +577,63 @@
|INT;reducedSystem;2M;29| (|Vector| 17)
(|Record| (|:| |mat| 70) (|:| |vec| 73)) (|Vector| $)
|INT;reducedSystem;MVR;30| |INT;abs;2$;31|
- |INT;random;$;32| |INT;random;2$;33| NIL |INT;**;$Nni$;41|
- |INT;odd?;$B;42| |INT;max;3$;43| |INT;min;3$;44|
+ |INT;random;$;32| |INT;random;2$;33| |INT;>;2$B;36|
+ (93 . |not|) |INT;<=;2$B;37| |INT;>=;2$B;38| NIL
+ |INT;**;$Nni$;44| |INT;odd?;$B;45| |INT;max;3$;46|
+ |INT;min;3$;47|
(|Record| (|:| |quotient| $) (|:| |remainder| $))
- |INT;divide;2$R;45| |INT;quo;3$;46| |INT;shift;3$;48|
- (|Union| $ '"failed") |INT;recip;$U;49| |INT;gcd;3$;50|
+ |INT;divide;2$R;48| |INT;quo;3$;49| |INT;shift;3$;51|
+ (|Union| $ '"failed") |INT;recip;$U;52| |INT;gcd;3$;53|
(|Record| (|:| |unit| $) (|:| |canonical| $)
- (|:| |associate| $))
- |INT;unitNormal;$R;51| |INT;unitCanonical;2$;52|
- (|SparseUnivariatePolynomial| 17) (|List| 95)
- (|Union| 96 '"failed")
+ (|:| |associate| $))
+ |INT;unitNormal;$R;54| |INT;unitCanonical;2$;55|
+ (|SparseUnivariatePolynomial| 17) (|List| 99)
+ (|Union| 100 '"failed")
(|IntegerSolveLinearPolynomialEquation|)
- (93 . |solveLinearPolynomialEquation|)
- (|SparseUnivariatePolynomial| $$) (|Factored| 100)
- (|UnivariatePolynomialSquareFree| $$ 100)
- (99 . |squareFree|) (104 . |primitivePart|)
- (109 . |leadingCoefficient|) (|GaloisGroupFactorizer| 100)
- (114 . |factor|) (119 . |coerce|) (124 . |exquo|)
- (|Factored| $) (130 . |factor|) (|Mapping| 100 $$)
- (|Factored| $$) (|FactoredFunctions2| $$ 100)
- (135 . |map|) (|FactoredFunctionUtilities| 100)
- (141 . |mergeFactors|) (147 . |factorSquareFree|)
- (152 . |zero?|) (157 . |unitCanonical|) (|List| 100)
- (|HeuGcd| 100) (162 . |gcd|)
+ (98 . |solveLinearPolynomialEquation|)
+ (|SparseUnivariatePolynomial| $$) (|Factored| 104)
+ (|UnivariatePolynomialSquareFree| $$ 104)
+ (104 . |squareFree|) (109 . |primitivePart|)
+ (114 . |leadingCoefficient|) (|GaloisGroupFactorizer| 104)
+ (119 . |factor|) (124 . |coerce|) (129 . |exquo|)
+ (|Factored| $) (135 . |factor|) (|Mapping| 104 $$)
+ (|Factored| $$) (|FactoredFunctions2| $$ 104)
+ (140 . |map|) (|FactoredFunctionUtilities| 104)
+ (146 . |mergeFactors|) (152 . |factorSquareFree|)
+ (157 . |zero?|) (162 . |unitCanonical|) (|List| 104)
+ (|HeuGcd| 104) (167 . |gcd|)
(|SparseUnivariatePolynomial| $)
- |INT;gcdPolynomial;3Sup;57| (|Fraction| 17)
- (|Union| 126 '"failed") (|PatternMatchResult| 17 $)
+ |INT;gcdPolynomial;3Sup;60| (|Fraction| 17)
+ (|Union| 130 '"failed") (|PatternMatchResult| 17 $)
(|Pattern| 17) (|Union| 17 '"failed") (|List| $)
- (|Union| 131 '"failed")
- (|Record| (|:| |coef| 131) (|:| |generator| $))
+ (|Union| 135 '"failed")
+ (|Record| (|:| |coef| 135) (|:| |generator| $))
(|Record| (|:| |coef1| $) (|:| |coef2| $))
- (|Union| 134 '"failed")
+ (|Union| 138 '"failed")
(|Record| (|:| |coef1| $) (|:| |coef2| $)
(|:| |generator| $))
(|PositiveInteger|))
- '#(~= 167 |zero?| 173 |unitNormal| 178 |unitCanonical| 183
- |unit?| 188 |symmetricRemainder| 193 |subtractIfCan| 199
- |submod| 205 |squareFreePart| 212 |squareFree| 217
- |sizeLess?| 222 |sign| 228 |shift| 233 |sample| 239
- |retractIfCan| 243 |retract| 248 |rem| 253 |reducedSystem|
- 259 |recip| 270 |rationalIfCan| 275 |rational?| 280
- |rational| 285 |random| 290 |quo| 299 |principalIdeal| 305
- |prime?| 310 |powmod| 315 |positiveRemainder| 322
- |positive?| 328 |permutation| 333 |patternMatch| 339
- |one?| 346 |odd?| 351 |nextItem| 356 |negative?| 361
- |multiEuclidean| 366 |mulmod| 372 |min| 379 |max| 385
- |mask| 391 |length| 396 |lcm| 401 |latex| 412 |invmod| 417
- |init| 423 |inc| 427 |hash| 432 |gcdPolynomial| 437 |gcd|
- 443 |factorial| 454 |factor| 459 |extendedEuclidean| 464
- |exquo| 477 |expressIdealMember| 483 |even?| 489
- |euclideanSize| 494 |divide| 499 |differentiate| 505 |dec|
- 516 |copy| 521 |convert| 526 |coerce| 556 |characteristic|
- 576 |bit?| 580 |binomial| 586 |before?| 592 |base| 598
- |associates?| 602 |addmod| 608 |abs| 615 |Zero| 620 |One|
- 624 |OMwrite| 628 D 652 >= 663 > 669 = 675 <= 681 < 687 -
- 693 + 704 ** 710 * 722)
+ '#(~= 172 |zero?| 178 |unitNormal| 183 |unitCanonical| 188
+ |unit?| 193 |symmetricRemainder| 198 |subtractIfCan| 204
+ |submod| 210 |squareFreePart| 217 |squareFree| 222
+ |sizeLess?| 227 |sign| 233 |shift| 238 |sample| 244
+ |retractIfCan| 248 |retract| 253 |rem| 258 |reducedSystem|
+ 264 |recip| 275 |rationalIfCan| 280 |rational?| 285
+ |rational| 290 |random| 295 |quo| 304 |principalIdeal| 310
+ |prime?| 315 |powmod| 320 |positiveRemainder| 327
+ |positive?| 333 |permutation| 338 |patternMatch| 344
+ |one?| 351 |odd?| 356 |nextItem| 361 |negative?| 366
+ |multiEuclidean| 371 |mulmod| 377 |min| 384 |max| 390
+ |mask| 396 |length| 401 |lcm| 406 |latex| 417 |invmod| 422
+ |init| 428 |inc| 432 |hash| 437 |gcdPolynomial| 442 |gcd|
+ 448 |factorial| 459 |factor| 464 |extendedEuclidean| 469
+ |exquo| 482 |expressIdealMember| 488 |even?| 494
+ |euclideanSize| 499 |divide| 504 |differentiate| 510 |dec|
+ 521 |copy| 526 |convert| 531 |coerce| 561 |characteristic|
+ 581 |bit?| 585 |binomial| 591 |before?| 597 |base| 603
+ |associates?| 607 |addmod| 613 |abs| 620 |Zero| 625 |One|
+ 629 |OMwrite| 633 D 657 >= 668 > 674 = 680 <= 686 < 692 -
+ 698 + 709 ** 715 * 727)
'((|infinite| . 0) (|noetherian| . 0)
(|canonicalsClosed| . 0) (|canonical| . 0)
(|canonicalUnitNormal| . 0) (|multiplicativeValuation| . 0)
@@ -667,61 +686,61 @@
(|ConvertibleTo| 55)
(|ConvertibleTo| 58)
(|CombinatorialFunctionCategory|)
- (|ConvertibleTo| 129)
+ (|ConvertibleTo| 133)
(|ConvertibleTo| 61)
(|ConvertibleTo| 17)
(|CoercibleFrom| $$)
(|CoercibleFrom| 17) (|BasicType|)
(|CoercibleTo| 44))
- (|makeByteWordVec2| 137
+ (|makeByteWordVec2| 141
'(0 7 0 8 1 12 11 0 13 3 12 11 0 14 14
15 2 12 11 0 17 18 1 12 11 0 19 0 20
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+ 17 0 84 2 0 0 7 0 1 2 0 0 141 0 1)))))
'|lookupComplete|))
(MAKEPROP '|Integer| 'NILADIC T)
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-08 21:38:07 +0000