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-rw-r--r--src/algebra/catdef.spad.pamphlet1
-rw-r--r--src/algebra/integer.spad.pamphlet4
-rw-r--r--src/algebra/strap/DFLOAT.lsp2
-rw-r--r--src/algebra/strap/EUCDOM-.lsp92
-rw-r--r--src/algebra/strap/EUCDOM.lsp2
-rw-r--r--src/algebra/strap/INT.lsp201
6 files changed, 146 insertions, 156 deletions
diff --git a/src/algebra/catdef.spad.pamphlet b/src/algebra/catdef.spad.pamphlet
index fae3896f..4cfca15c 100644
--- a/src/algebra/catdef.spad.pamphlet
+++ b/src/algebra/catdef.spad.pamphlet
@@ -525,6 +525,7 @@ EuclideanDomain(): Category == PrincipalIdealDomain with
x quo y == divide(x,y).quotient --divide must be user-supplied
x rem y == divide(x,y).remainder
x exquo y ==
+ zero? x => 0
zero? y => "failed"
qr:=divide(x,y)
zero?(qr.remainder) => qr.quotient
diff --git a/src/algebra/integer.spad.pamphlet b/src/algebra/integer.spad.pamphlet
index f25af008..ee06f056 100644
--- a/src/algebra/integer.spad.pamphlet
+++ b/src/algebra/integer.spad.pamphlet
@@ -194,10 +194,6 @@ Integer: Join(IntegerNumberSystem, ConvertibleTo String, OpenMath) with
x quo y == QUOTIENT2(x,y)$Lisp
x rem y == REMAINDER2(x,y)$Lisp
shift(x, y) == ASH(x,y)$Lisp
- x exquo y ==
- zero? y => "failed"
- zero?(x rem y) => x quo y
- "failed"
recip(x) == if one? x or x=-1 then x else "failed"
gcd(x,y) == GCD(x,y)$Lisp
UCA ==> Record(unit:%,canonical:%,associate:%)
diff --git a/src/algebra/strap/DFLOAT.lsp b/src/algebra/strap/DFLOAT.lsp
index 97c30162..d3096b93 100644
--- a/src/algebra/strap/DFLOAT.lsp
+++ b/src/algebra/strap/DFLOAT.lsp
@@ -904,7 +904,7 @@
(DEFUN |DoubleFloat| ()
(PROG ()
(RETURN
- (PROG (#0=#:G1562)
+ (PROG (#0=#:G1561)
(RETURN
(COND
((LETT #0# (HGET |$ConstructorCache| '|DoubleFloat|)
diff --git a/src/algebra/strap/EUCDOM-.lsp b/src/algebra/strap/EUCDOM-.lsp
index 1cd2b434..ba98d42c 100644
--- a/src/algebra/strap/EUCDOM-.lsp
+++ b/src/algebra/strap/EUCDOM-.lsp
@@ -53,6 +53,8 @@
(PROG (|qr|)
(RETURN
(SEQ (COND
+ ((SPADCALL |x| (|getShellEntry| $ 8))
+ (CONS 0 (|spadConstant| $ 16)))
((SPADCALL |y| (|getShellEntry| $ 8)) (CONS 1 "failed"))
('T
(SEQ (LETT |qr| (SPADCALL |x| |y| (|getShellEntry| $ 13))
@@ -66,9 +68,9 @@
(DEFUN |EUCDOM-;gcd;3S;5| (|x| |y| $)
(PROG (|#G13| |#G14|)
(RETURN
- (SEQ (LETT |x| (SPADCALL |x| (|getShellEntry| $ 18))
+ (SEQ (LETT |x| (SPADCALL |x| (|getShellEntry| $ 19))
|EUCDOM-;gcd;3S;5|)
- (LETT |y| (SPADCALL |y| (|getShellEntry| $ 18))
+ (LETT |y| (SPADCALL |y| (|getShellEntry| $ 19))
|EUCDOM-;gcd;3S;5|)
(SEQ G190
(COND
@@ -77,12 +79,12 @@
(SEQ (PROGN
(LETT |#G13| |y| |EUCDOM-;gcd;3S;5|)
(LETT |#G14|
- (SPADCALL |x| |y| (|getShellEntry| $ 19))
+ (SPADCALL |x| |y| (|getShellEntry| $ 20))
|EUCDOM-;gcd;3S;5|)
(LETT |x| |#G13| |EUCDOM-;gcd;3S;5|)
(LETT |y| |#G14| |EUCDOM-;gcd;3S;5|))
(EXIT (LETT |y|
- (SPADCALL |y| (|getShellEntry| $ 18))
+ (SPADCALL |y| (|getShellEntry| $ 19))
|EUCDOM-;gcd;3S;5|)))
NIL (GO G190) G191 (EXIT NIL))
(EXIT |x|)))))
@@ -92,7 +94,7 @@
(RETURN
(SEQ (PROGN
(LETT |#G16|
- (SPADCALL (QVELT |s| 2) (|getShellEntry| $ 22))
+ (SPADCALL (QVELT |s| 2) (|getShellEntry| $ 23))
|EUCDOM-;unitNormalizeIdealElt|)
(LETT |u| (QVELT |#G16| 0)
|EUCDOM-;unitNormalizeIdealElt|)
@@ -102,12 +104,12 @@
|EUCDOM-;unitNormalizeIdealElt|)
|#G16|)
(EXIT (COND
- ((SPADCALL |a| (|getShellEntry| $ 23)) |s|)
+ ((SPADCALL |a| (|getShellEntry| $ 24)) |s|)
('T
(VECTOR (SPADCALL |a| (QVELT |s| 0)
- (|getShellEntry| $ 24))
+ (|getShellEntry| $ 25))
(SPADCALL |a| (QVELT |s| 1)
- (|getShellEntry| $ 24))
+ (|getShellEntry| $ 25))
|c|))))))))
(DEFUN |EUCDOM-;extendedEuclidean;2SR;7| (|x| |y| $)
@@ -115,14 +117,14 @@
(RETURN
(SEQ (LETT |s1|
(|EUCDOM-;unitNormalizeIdealElt|
- (VECTOR (|spadConstant| $ 25)
- (|spadConstant| $ 26) |x|)
+ (VECTOR (|spadConstant| $ 26)
+ (|spadConstant| $ 16) |x|)
$)
|EUCDOM-;extendedEuclidean;2SR;7|)
(LETT |s2|
(|EUCDOM-;unitNormalizeIdealElt|
- (VECTOR (|spadConstant| $ 26)
- (|spadConstant| $ 25) |y|)
+ (VECTOR (|spadConstant| $ 16)
+ (|spadConstant| $ 26) |y|)
$)
|EUCDOM-;extendedEuclidean;2SR;7|)
(EXIT (COND
@@ -145,12 +147,12 @@
(SPADCALL (QVELT |s1| 0)
(SPADCALL (QCAR |qr|)
(QVELT |s2| 0)
- (|getShellEntry| $ 24))
+ (|getShellEntry| $ 25))
(|getShellEntry| $ 27))
(SPADCALL (QVELT |s1| 1)
(SPADCALL (QCAR |qr|)
(QVELT |s2| 1)
- (|getShellEntry| $ 24))
+ (|getShellEntry| $ 25))
(|getShellEntry| $ 27))
(QCDR |qr|))
|EUCDOM-;extendedEuclidean;2SR;7|)
@@ -176,7 +178,7 @@
(QSETVELT |s1| 1
(SPADCALL (QVELT |s1| 1)
(SPADCALL (QCAR |qr|) |x|
- (|getShellEntry| $ 24))
+ (|getShellEntry| $ 25))
(|getShellEntry| $ 29)))
(EXIT
(LETT |s1|
@@ -191,7 +193,7 @@
(SEQ (COND
((SPADCALL |z| (|getShellEntry| $ 8))
(CONS 0
- (CONS (|spadConstant| $ 26) (|spadConstant| $ 26))))
+ (CONS (|spadConstant| $ 16) (|spadConstant| $ 16))))
('T
(SEQ (LETT |s| (SPADCALL |x| |y| (|getShellEntry| $ 32))
|EUCDOM-;extendedEuclidean;3SU;8|)
@@ -205,16 +207,16 @@
(CONS 0
(CONS (SPADCALL (QVELT |s| 0)
(QCDR |w|)
- (|getShellEntry| $ 24))
+ (|getShellEntry| $ 25))
(SPADCALL (QVELT |s| 1)
(QCDR |w|)
- (|getShellEntry| $ 24)))))
+ (|getShellEntry| $ 25)))))
('T
(SEQ (LETT |qr|
(SPADCALL
(SPADCALL (QVELT |s| 0)
(QCDR |w|)
- (|getShellEntry| $ 24))
+ (|getShellEntry| $ 25))
|y| (|getShellEntry| $ 13))
|EUCDOM-;extendedEuclidean;3SU;8|)
(EXIT (CONS 0
@@ -222,13 +224,13 @@
(SPADCALL
(SPADCALL (QVELT |s| 1)
(QCDR |w|)
- (|getShellEntry| $ 24))
+ (|getShellEntry| $ 25))
(SPADCALL (QCAR |qr|) |x|
- (|getShellEntry| $ 24))
+ (|getShellEntry| $ 25))
(|getShellEntry| $ 29))))))))))))))))
(DEFUN |EUCDOM-;principalIdeal;LR;9| (|l| $)
- (PROG (|uca| |v| |u| #0=#:G1517 |vv| #1=#:G1518)
+ (PROG (|uca| |v| |u| #0=#:G1519 |vv| #1=#:G1520)
(RETURN
(SEQ (COND
((SPADCALL |l| NIL (|getShellEntry| $ 38))
@@ -236,7 +238,7 @@
((SPADCALL (CDR |l|) NIL (|getShellEntry| $ 38))
(SEQ (LETT |uca|
(SPADCALL (|SPADfirst| |l|)
- (|getShellEntry| $ 22))
+ (|getShellEntry| $ 23))
|EUCDOM-;principalIdeal;LR;9|)
(EXIT (CONS (LIST (QVELT |uca| 0)) (QVELT |uca| 1)))))
((SPADCALL (CDR (CDR |l|)) NIL (|getShellEntry| $ 38))
@@ -278,7 +280,7 @@
(CONS
(SPADCALL (QVELT |u| 1)
|vv|
- (|getShellEntry| $ 24))
+ (|getShellEntry| $ 25))
#0#)
|EUCDOM-;principalIdeal;LR;9|)))
(LETT #1# (CDR #1#)
@@ -288,10 +290,10 @@
(QVELT |u| 2))))))))))
(DEFUN |EUCDOM-;expressIdealMember;LSU;10| (|l| |z| $)
- (PROG (#0=#:G1519 #1=#:G1520 |pid| |q| #2=#:G1521 |v| #3=#:G1522)
+ (PROG (#0=#:G1521 #1=#:G1522 |pid| |q| #2=#:G1523 |v| #3=#:G1524)
(RETURN
(SEQ (COND
- ((SPADCALL |z| (|spadConstant| $ 26)
+ ((SPADCALL |z| (|spadConstant| $ 16)
(|getShellEntry| $ 44))
(CONS 0
(PROGN
@@ -310,7 +312,7 @@
NIL))
(GO G191)))
(SEQ (EXIT (LETT #0#
- (CONS (|spadConstant| $ 26) #0#)
+ (CONS (|spadConstant| $ 16) #0#)
|EUCDOM-;expressIdealMember;LSU;10|)))
(LETT #1# (CDR #1#)
|EUCDOM-;expressIdealMember;LSU;10|)
@@ -347,7 +349,7 @@
(LETT #2#
(CONS
(SPADCALL (QCDR |q|) |v|
- (|getShellEntry| $ 24))
+ (|getShellEntry| $ 25))
#2#)
|EUCDOM-;expressIdealMember;LSU;10|)))
(LETT #3# (CDR #3#)
@@ -356,9 +358,9 @@
(EXIT (NREVERSE0 #2#)))))))))))))))
(DEFUN |EUCDOM-;multiEuclidean;LSU;11| (|l| |z| $)
- (PROG (|n| |l1| |l2| #0=#:G1398 #1=#:G1523 #2=#:G1504 #3=#:G1502
- #4=#:G1503 #5=#:G1399 #6=#:G1524 #7=#:G1507 #8=#:G1505
- #9=#:G1506 |u| |v1| |v2|)
+ (PROG (|n| |l1| |l2| #0=#:G1398 #1=#:G1525 #2=#:G1506 #3=#:G1504
+ #4=#:G1505 #5=#:G1399 #6=#:G1526 #7=#:G1509 #8=#:G1507
+ #9=#:G1508 |u| |v1| |v2|)
(RETURN
(SEQ (LETT |n| (LENGTH |l|) |EUCDOM-;multiEuclidean;LSU;11|)
(EXIT (COND
@@ -400,7 +402,7 @@
(#4#
(LETT #3#
(SPADCALL #3# #2#
- (|getShellEntry| $ 24))
+ (|getShellEntry| $ 25))
|EUCDOM-;multiEuclidean;LSU;11|))
('T
(PROGN
@@ -413,7 +415,7 @@
(GO G190) G191 (EXIT NIL))
(COND
(#4# #3#)
- ('T (|spadConstant| $ 25))))
+ ('T (|spadConstant| $ 26))))
(PROGN
(LETT #9# NIL
|EUCDOM-;multiEuclidean;LSU;11|)
@@ -439,7 +441,7 @@
(#9#
(LETT #8#
(SPADCALL #8# #7#
- (|getShellEntry| $ 24))
+ (|getShellEntry| $ 25))
|EUCDOM-;multiEuclidean;LSU;11|))
('T
(PROGN
@@ -452,7 +454,7 @@
(GO G190) G191 (EXIT NIL))
(COND
(#9# #8#)
- ('T (|spadConstant| $ 25))))
+ ('T (|spadConstant| $ 26))))
|z| (|getShellEntry| $ 50))
|EUCDOM-;multiEuclidean;LSU;11|)
(EXIT (COND
@@ -505,12 +507,12 @@
|EUCDOM-;sizeLess?;2SB;1|
(|Record| (|:| |quotient| $) (|:| |remainder| $))
(10 . |divide|) |EUCDOM-;quo;3S;2| |EUCDOM-;rem;3S;3|
- (|Union| $ '"failed") |EUCDOM-;exquo;2SU;4|
- (16 . |unitCanonical|) (21 . |rem|) |EUCDOM-;gcd;3S;5|
+ (16 . |Zero|) (|Union| $ '"failed") |EUCDOM-;exquo;2SU;4|
+ (20 . |unitCanonical|) (25 . |rem|) |EUCDOM-;gcd;3S;5|
(|Record| (|:| |unit| $) (|:| |canonical| $)
(|:| |associate| $))
- (27 . |unitNormal|) (32 . |one?|) (37 . *) (43 . |One|)
- (47 . |Zero|) (51 . -) (57 . |sizeLess?|) (63 . +)
+ (31 . |unitNormal|) (36 . |one?|) (41 . *) (47 . |One|)
+ (51 . -) (57 . |sizeLess?|) (63 . +)
(|Record| (|:| |coef1| $) (|:| |coef2| $)
(|:| |generator| $))
|EUCDOM-;extendedEuclidean;2SR;7|
@@ -533,16 +535,16 @@
(CONS '#()
(CONS '#()
(|makeByteWordVec2| 53
- '(1 6 7 0 8 1 6 9 0 10 2 6 12 0 0 13 1
- 6 0 0 18 2 6 0 0 0 19 1 6 21 0 22 1 6
- 7 0 23 2 6 0 0 0 24 0 6 0 25 0 6 0 26
+ '(1 6 7 0 8 1 6 9 0 10 2 6 12 0 0 13 0
+ 6 0 16 1 6 0 0 19 2 6 0 0 0 20 1 6 22
+ 0 23 1 6 7 0 24 2 6 0 0 0 25 0 6 0 26
2 6 0 0 0 27 2 6 7 0 0 28 2 6 0 0 0
- 29 2 6 30 0 0 32 2 6 16 0 0 33 2 37 7
+ 29 2 6 30 0 0 32 2 6 17 0 0 33 2 37 7
0 0 38 1 37 6 0 39 1 6 41 40 42 2 6 7
0 0 44 1 37 0 0 47 2 37 0 0 48 49 3 6
35 0 0 0 50 2 6 45 40 0 51 2 37 0 0 0
52 2 0 7 0 0 11 2 0 0 0 0 15 2 0 0 0
0 14 1 0 41 40 43 2 0 45 40 0 53 2 0
- 0 0 0 20 3 0 35 0 0 0 36 2 0 30 0 0
- 31 2 0 16 0 0 17 2 0 45 40 0 46)))))
+ 0 0 0 21 3 0 35 0 0 0 36 2 0 30 0 0
+ 31 2 0 17 0 0 18 2 0 45 40 0 46)))))
'|lookupComplete|))
diff --git a/src/algebra/strap/EUCDOM.lsp b/src/algebra/strap/EUCDOM.lsp
index fae7626f..f9666922 100644
--- a/src/algebra/strap/EUCDOM.lsp
+++ b/src/algebra/strap/EUCDOM.lsp
@@ -4,7 +4,7 @@
(DEFPARAMETER |EuclideanDomain;AL| 'NIL)
(DEFUN |EuclideanDomain;| ()
- (PROG (#0=#:G1414)
+ (PROG (#0=#:G1415)
(RETURN
(PROG1 (LETT #0#
(|Join| (|PrincipalIdealDomain|)
diff --git a/src/algebra/strap/INT.lsp b/src/algebra/strap/INT.lsp
index 07f142fa..fd48fd1a 100644
--- a/src/algebra/strap/INT.lsp
+++ b/src/algebra/strap/INT.lsp
@@ -215,24 +215,21 @@
(PUT '|INT;shift;3$;48| '|SPADreplace| 'ASH)
-(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Pair|)
- |INT;exquo;2$U;49|))
-
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Pair|)
- |INT;recip;$U;50|))
+ |INT;recip;$U;49|))
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|)
- |INT;gcd;3$;51|))
+ |INT;gcd;3$;50|))
-(PUT '|INT;gcd;3$;51| '|SPADreplace| 'GCD)
+(PUT '|INT;gcd;3$;50| '|SPADreplace| 'GCD)
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Shell|)
- |INT;unitNormal;$R;52|))
+ |INT;unitNormal;$R;51|))
(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Integer|)
- |INT;unitCanonical;2$;53|))
+ |INT;unitCanonical;2$;52|))
-(PUT '|INT;unitCanonical;2$;53| '|SPADreplace| 'ABS)
+(PUT '|INT;unitCanonical;2$;52| '|SPADreplace| 'ABS)
(DECLAIM (FTYPE (FUNCTION (|%List| |%Thing| |%Shell|) |%Pair|)
|INT;solveLinearPolynomialEquation|))
@@ -247,7 +244,7 @@
|INT;factorSquareFreePolynomial|))
(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
- |INT;gcdPolynomial;3Sup;58|))
+ |INT;gcdPolynomial;3Sup;57|))
(DEFUN |INT;writeOMInt| (|dev| |x| $)
(SEQ (COND
@@ -336,7 +333,7 @@
(INTEGER-LENGTH |a|))
(DEFUN |INT;addmod;4$;20| (|a| |b| |p| $)
- (PROG (|c| #0=#:G1434)
+ (PROG (|c| #0=#:G1432)
(RETURN
(SEQ (EXIT (SEQ (SEQ (LETT |c| (+ |a| |b|) |INT;addmod;4$;20|)
(EXIT (COND
@@ -437,52 +434,46 @@
(DECLARE (IGNORE $))
(ASH |x| |y|))
-(DEFUN |INT;exquo;2$U;49| (|x| |y| $)
- (COND
- ((OR (ZEROP |y|) (NULL (ZEROP (REMAINDER2 |x| |y|))))
- (CONS 1 "failed"))
- ('T (CONS 0 (QUOTIENT2 |x| |y|)))))
-
-(DEFUN |INT;recip;$U;50| (|x| $)
+(DEFUN |INT;recip;$U;49| (|x| $)
(COND
((OR (EQL |x| 1) (EQL |x| -1)) (CONS 0 |x|))
('T (CONS 1 "failed"))))
-(DEFUN |INT;gcd;3$;51| (|x| |y| $) (DECLARE (IGNORE $)) (GCD |x| |y|))
+(DEFUN |INT;gcd;3$;50| (|x| |y| $) (DECLARE (IGNORE $)) (GCD |x| |y|))
-(DEFUN |INT;unitNormal;$R;52| (|x| $)
+(DEFUN |INT;unitNormal;$R;51| (|x| $)
(COND ((< |x| 0) (VECTOR -1 (- |x|) -1)) ('T (VECTOR 1 |x| 1))))
-(DEFUN |INT;unitCanonical;2$;53| (|x| $)
+(DEFUN |INT;unitCanonical;2$;52| (|x| $)
(DECLARE (IGNORE $))
(ABS |x|))
(DEFUN |INT;solveLinearPolynomialEquation| (|lp| |p| $)
- (SPADCALL |lp| |p| (|getShellEntry| $ 94)))
+ (SPADCALL |lp| |p| (|getShellEntry| $ 93)))
(DEFUN |INT;squareFreePolynomial| (|p| $)
- (SPADCALL |p| (|getShellEntry| $ 98)))
+ (SPADCALL |p| (|getShellEntry| $ 97)))
(DEFUN |INT;factorPolynomial| (|p| $)
- (PROG (|pp| #0=#:G1506)
+ (PROG (|pp| #0=#:G1498)
(RETURN
- (SEQ (LETT |pp| (SPADCALL |p| (|getShellEntry| $ 99))
+ (SEQ (LETT |pp| (SPADCALL |p| (|getShellEntry| $ 98))
|INT;factorPolynomial|)
(EXIT (COND
- ((EQL (SPADCALL |pp| (|getShellEntry| $ 100))
- (SPADCALL |p| (|getShellEntry| $ 100)))
- (SPADCALL |p| (|getShellEntry| $ 102)))
+ ((EQL (SPADCALL |pp| (|getShellEntry| $ 99))
+ (SPADCALL |p| (|getShellEntry| $ 99)))
+ (SPADCALL |p| (|getShellEntry| $ 101)))
('T
- (SPADCALL (SPADCALL |pp| (|getShellEntry| $ 102))
+ (SPADCALL (SPADCALL |pp| (|getShellEntry| $ 101))
(SPADCALL (CONS #'|INT;factorPolynomial!0| $)
(SPADCALL
(PROG2 (LETT #0#
- (|INT;exquo;2$U;49|
+ (SPADCALL
(SPADCALL |p|
- (|getShellEntry| $ 100))
+ (|getShellEntry| $ 99))
(SPADCALL |pp|
- (|getShellEntry| $ 100))
- $)
+ (|getShellEntry| $ 99))
+ (|getShellEntry| $ 103))
|INT;factorPolynomial|)
(QCDR #0#)
(|check-union| (QEQCAR #0# 0) $ #0#))
@@ -491,12 +482,12 @@
(|getShellEntry| $ 111)))))))))
(DEFUN |INT;factorPolynomial!0| (|#1| $)
- (SPADCALL |#1| (|getShellEntry| $ 103)))
+ (SPADCALL |#1| (|getShellEntry| $ 102)))
(DEFUN |INT;factorSquareFreePolynomial| (|p| $)
(SPADCALL |p| (|getShellEntry| $ 112)))
-(DEFUN |INT;gcdPolynomial;3Sup;58| (|p| |q| $)
+(DEFUN |INT;gcdPolynomial;3Sup;57| (|p| |q| $)
(COND
((SPADCALL |p| (|getShellEntry| $ 113))
(SPADCALL |q| (|getShellEntry| $ 114)))
@@ -507,7 +498,7 @@
(DEFUN |Integer| ()
(PROG ()
(RETURN
- (PROG (#0=#:G1531)
+ (PROG (#0=#:G1523)
(RETURN
(COND
((LETT #0# (HGET |$ConstructorCache| '|Integer|) |Integer|)
@@ -570,27 +561,27 @@
|INT;odd?;$B;42| |INT;max;3$;43| |INT;min;3$;44|
(|Record| (|:| |quotient| $) (|:| |remainder| $))
|INT;divide;2$R;45| |INT;quo;3$;46| |INT;rem;3$;47|
- |INT;shift;3$;48| (|Union| $ '"failed") |INT;exquo;2$U;49|
- |INT;recip;$U;50| |INT;gcd;3$;51|
+ |INT;shift;3$;48| (|Union| $ '"failed") |INT;recip;$U;49|
+ |INT;gcd;3$;50|
(|Record| (|:| |unit| $) (|:| |canonical| $)
(|:| |associate| $))
- |INT;unitNormal;$R;52| |INT;unitCanonical;2$;53|
- (|SparseUnivariatePolynomial| 11) (|List| 90)
- (|Union| 91 '"failed")
+ |INT;unitNormal;$R;51| |INT;unitCanonical;2$;52|
+ (|SparseUnivariatePolynomial| 11) (|List| 89)
+ (|Union| 90 '"failed")
(|IntegerSolveLinearPolynomialEquation|)
(63 . |solveLinearPolynomialEquation|)
- (|SparseUnivariatePolynomial| $$) (|Factored| 95)
- (|UnivariatePolynomialSquareFree| $$ 95)
+ (|SparseUnivariatePolynomial| $$) (|Factored| 94)
+ (|UnivariatePolynomialSquareFree| $$ 94)
(69 . |squareFree|) (74 . |primitivePart|)
- (79 . |leadingCoefficient|) (|GaloisGroupFactorizer| 95)
- (84 . |factor|) (89 . |coerce|) (|Factored| $)
- (94 . |factor|) (|Mapping| 95 $$) (|Factored| $$)
- (|FactoredFunctions2| $$ 95) (99 . |map|)
- (|FactoredFunctionUtilities| 95) (105 . |mergeFactors|)
- (111 . |factorSquareFree|) (116 . |zero?|)
- (121 . |unitCanonical|) (|List| 95) (|HeuGcd| 95)
- (126 . |gcd|) (|SparseUnivariatePolynomial| $)
- |INT;gcdPolynomial;3Sup;58| (|Fraction| 11)
+ (79 . |leadingCoefficient|) (|GaloisGroupFactorizer| 94)
+ (84 . |factor|) (89 . |coerce|) (94 . |exquo|)
+ (|Factored| $) (100 . |factor|) (|Mapping| 94 $$)
+ (|Factored| $$) (|FactoredFunctions2| $$ 94) (105 . |map|)
+ (|FactoredFunctionUtilities| 94) (111 . |mergeFactors|)
+ (117 . |factorSquareFree|) (122 . |zero?|)
+ (127 . |unitCanonical|) (|List| 94) (|HeuGcd| 94)
+ (132 . |gcd|) (|SparseUnivariatePolynomial| $)
+ |INT;gcdPolynomial;3Sup;57| (|Fraction| 11)
(|Union| 120 '"failed") (|PatternMatchResult| 11 $)
(|Pattern| 11) (|Union| 11 '"failed") (|List| $)
(|Record| (|:| |coef| 125) (|:| |generator| $))
@@ -599,27 +590,27 @@
(|:| |generator| $))
(|Record| (|:| |coef1| $) (|:| |coef2| $))
(|Union| 129 '"failed") (|PositiveInteger|))
- '#(~= 131 |zero?| 137 |unitNormal| 142 |unitCanonical| 147
- |unit?| 152 |symmetricRemainder| 157 |subtractIfCan| 163
- |submod| 169 |squareFreePart| 176 |squareFree| 181
- |sizeLess?| 186 |sign| 192 |shift| 197 |sample| 203
- |retractIfCan| 207 |retract| 212 |rem| 217 |reducedSystem|
- 223 |recip| 234 |rationalIfCan| 239 |rational?| 244
- |rational| 249 |random| 254 |quo| 263 |principalIdeal| 269
- |prime?| 274 |powmod| 279 |positiveRemainder| 286
- |positive?| 292 |permutation| 297 |patternMatch| 303
- |one?| 310 |odd?| 315 |nextItem| 320 |negative?| 325
- |multiEuclidean| 330 |mulmod| 336 |min| 343 |max| 349
- |mask| 355 |length| 360 |lcm| 365 |latex| 376 |invmod| 381
- |init| 387 |inc| 391 |hash| 396 |gcdPolynomial| 401 |gcd|
- 407 |factorial| 418 |factor| 423 |extendedEuclidean| 428
- |exquo| 441 |expressIdealMember| 447 |even?| 453
- |euclideanSize| 458 |divide| 463 |differentiate| 469 |dec|
- 480 |copy| 485 |convert| 490 |coerce| 520 |characteristic|
- 540 |bit?| 544 |binomial| 550 |base| 556 |associates?| 560
- |addmod| 566 |abs| 573 |Zero| 578 |One| 582 |OMwrite| 586
- D 610 >= 621 > 627 = 633 <= 639 < 645 - 651 + 662 ** 668 *
- 680)
+ '#(~= 137 |zero?| 143 |unitNormal| 148 |unitCanonical| 153
+ |unit?| 158 |symmetricRemainder| 163 |subtractIfCan| 169
+ |submod| 175 |squareFreePart| 182 |squareFree| 187
+ |sizeLess?| 192 |sign| 198 |shift| 203 |sample| 209
+ |retractIfCan| 213 |retract| 218 |rem| 223 |reducedSystem|
+ 229 |recip| 240 |rationalIfCan| 245 |rational?| 250
+ |rational| 255 |random| 260 |quo| 269 |principalIdeal| 275
+ |prime?| 280 |powmod| 285 |positiveRemainder| 292
+ |positive?| 298 |permutation| 303 |patternMatch| 309
+ |one?| 316 |odd?| 321 |nextItem| 326 |negative?| 331
+ |multiEuclidean| 336 |mulmod| 342 |min| 349 |max| 355
+ |mask| 361 |length| 366 |lcm| 371 |latex| 382 |invmod| 387
+ |init| 393 |inc| 397 |hash| 402 |gcdPolynomial| 407 |gcd|
+ 413 |factorial| 424 |factor| 429 |extendedEuclidean| 434
+ |exquo| 447 |expressIdealMember| 453 |even?| 459
+ |euclideanSize| 464 |divide| 469 |differentiate| 475 |dec|
+ 486 |copy| 491 |convert| 496 |coerce| 526 |characteristic|
+ 546 |bit?| 550 |binomial| 556 |base| 562 |associates?| 566
+ |addmod| 572 |abs| 579 |Zero| 584 |One| 588 |OMwrite| 592
+ D 616 >= 627 > 633 = 639 <= 645 < 651 - 657 + 668 ** 674 *
+ 686)
'((|infinite| . 0) (|noetherian| . 0)
(|canonicalsClosed| . 0) (|canonical| . 0)
(|canonicalUnitNormal| . 0) (|multiplicativeValuation| . 0)
@@ -678,20 +669,20 @@
12 1 7 6 0 13 0 14 0 15 2 7 0 9 14 16
1 7 6 0 17 1 7 6 0 18 1 7 6 0 19 1 36
0 11 37 1 45 0 11 46 1 50 0 11 51 2
- 93 92 91 90 94 1 97 96 95 98 1 95 0 0
- 99 1 95 2 0 100 1 101 96 95 102 1 95
- 0 2 103 1 0 104 0 105 2 108 96 106
- 107 109 2 110 96 96 96 111 1 101 96
- 95 112 1 95 21 0 113 1 95 0 0 114 1
- 116 95 115 117 2 0 21 0 0 1 1 0 21 0
- 25 1 0 87 0 88 1 0 0 0 89 1 0 21 0 1
- 2 0 0 0 0 1 2 0 83 0 0 1 3 0 0 0 0 0
- 43 1 0 0 0 1 1 0 104 0 1 2 0 21 0 0 1
- 1 0 11 0 1 2 0 0 0 0 82 0 0 0 1 1 0
- 124 0 1 1 0 11 0 1 2 0 0 0 0 81 2 0
- 60 57 61 62 1 0 56 57 58 1 0 83 0 85
- 1 0 121 0 1 1 0 21 0 1 1 0 120 0 1 0
- 0 0 64 1 0 0 0 65 2 0 0 0 0 80 1 0
+ 92 91 90 89 93 1 96 95 94 97 1 94 0 0
+ 98 1 94 2 0 99 1 100 95 94 101 1 94 0
+ 2 102 2 0 83 0 0 103 1 0 104 0 105 2
+ 108 95 106 107 109 2 110 95 95 95 111
+ 1 100 95 94 112 1 94 21 0 113 1 94 0
+ 0 114 1 116 94 115 117 2 0 21 0 0 1 1
+ 0 21 0 25 1 0 86 0 87 1 0 0 0 88 1 0
+ 21 0 1 2 0 0 0 0 1 2 0 83 0 0 1 3 0 0
+ 0 0 0 43 1 0 0 0 1 1 0 104 0 1 2 0 21
+ 0 0 1 1 0 11 0 1 2 0 0 0 0 82 0 0 0 1
+ 1 0 124 0 1 1 0 11 0 1 2 0 0 0 0 81 2
+ 0 60 57 61 62 1 0 56 57 58 1 0 83 0
+ 84 1 0 121 0 1 1 0 21 0 1 1 0 120 0 1
+ 0 0 0 64 1 0 0 0 65 2 0 0 0 0 80 1 0
126 125 1 1 0 21 0 1 3 0 0 0 0 0 1 2
0 0 0 0 55 1 0 21 0 1 2 0 0 0 0 1 3 0
122 0 123 122 1 1 0 21 0 26 1 0 21 0
@@ -700,25 +691,25 @@
0 0 76 1 0 0 0 1 1 0 0 0 41 2 0 0 0 0
1 1 0 0 125 1 1 0 9 0 54 2 0 0 0 0 1
0 0 0 1 1 0 0 0 31 1 0 33 0 34 2 0
- 118 118 118 119 2 0 0 0 0 86 1 0 0
+ 118 118 118 119 2 0 0 0 0 85 1 0 0
125 1 1 0 0 0 1 1 0 104 0 105 2 0 128
- 0 0 1 3 0 130 0 0 0 1 2 0 83 0 0 84 2
- 0 127 125 0 1 1 0 21 0 1 1 0 73 0 1 2
- 0 78 0 0 79 1 0 0 0 1 2 0 0 0 73 1 1
- 0 0 0 32 1 0 0 0 30 1 0 9 0 53 1 0 48
- 0 49 1 0 45 0 47 1 0 50 0 52 1 0 123
- 0 1 1 0 11 0 40 1 0 0 11 39 1 0 0 0 1
- 1 0 0 11 39 1 0 36 0 38 0 0 73 1 2 0
- 21 0 0 1 2 0 0 0 0 1 0 0 0 29 2 0 21
- 0 0 1 3 0 0 0 0 0 42 1 0 0 0 63 0 0 0
- 27 0 0 0 28 3 0 6 7 0 21 24 2 0 9 0
- 21 22 2 0 6 7 0 23 1 0 9 0 20 1 0 0 0
- 1 2 0 0 0 73 1 2 0 21 0 0 1 2 0 21 0
- 0 1 2 0 21 0 0 66 2 0 21 0 0 1 2 0 21
- 0 0 67 2 0 0 0 0 70 1 0 0 0 68 2 0 0
- 0 0 69 2 0 0 0 73 74 2 0 0 0 131 1 2
- 0 0 0 0 71 2 0 0 11 0 72 2 0 0 73 0 1
- 2 0 0 131 0 1)))))
+ 0 0 1 3 0 130 0 0 0 1 2 0 83 0 0 103
+ 2 0 127 125 0 1 1 0 21 0 1 1 0 73 0 1
+ 2 0 78 0 0 79 1 0 0 0 1 2 0 0 0 73 1
+ 1 0 0 0 32 1 0 0 0 30 1 0 9 0 53 1 0
+ 48 0 49 1 0 45 0 47 1 0 50 0 52 1 0
+ 123 0 1 1 0 11 0 40 1 0 0 11 39 1 0 0
+ 0 1 1 0 0 11 39 1 0 36 0 38 0 0 73 1
+ 2 0 21 0 0 1 2 0 0 0 0 1 0 0 0 29 2 0
+ 21 0 0 1 3 0 0 0 0 0 42 1 0 0 0 63 0
+ 0 0 27 0 0 0 28 3 0 6 7 0 21 24 2 0 9
+ 0 21 22 2 0 6 7 0 23 1 0 9 0 20 1 0 0
+ 0 1 2 0 0 0 73 1 2 0 21 0 0 1 2 0 21
+ 0 0 1 2 0 21 0 0 66 2 0 21 0 0 1 2 0
+ 21 0 0 67 2 0 0 0 0 70 1 0 0 0 68 2 0
+ 0 0 0 69 2 0 0 0 73 74 2 0 0 0 131 1
+ 2 0 0 0 0 71 2 0 0 11 0 72 2 0 0 73 0
+ 1 2 0 0 131 0 1)))))
'|lookupComplete|))
(MAKEPROP '|Integer| 'NILADIC T)
generated by cgit v1.2.3 (git 2.39.1) at 2024-12-23 14:15:20 +0000