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authordos-reis <gdr@axiomatics.org>2008-12-30 22:43:08 +0000
committerdos-reis <gdr@axiomatics.org>2008-12-30 22:43:08 +0000
commit636dd9db98bb535d79160cc33f326261fb880a92 (patch)
treeccba52558b8745e1c220b4a067fd2062dd25657e /src/algebra
parent60e2bd05a1d4b49386274a0bea74c476d3783aa7 (diff)
downloadopen-axiom-636dd9db98bb535d79160cc33f326261fb880a92.tar.gz
* algebra/si.spad.pamphlet (size$SingleInteger): Compute value as
extended integer.
Diffstat (limited to 'src/algebra')
-rw-r--r--src/algebra/si.spad.pamphlet4
-rw-r--r--src/algebra/strap/SINT.lsp150
2 files changed, 77 insertions, 77 deletions
diff --git a/src/algebra/si.spad.pamphlet b/src/algebra/si.spad.pamphlet
index 224976c8..809a9f67 100644
--- a/src/algebra/si.spad.pamphlet
+++ b/src/algebra/si.spad.pamphlet
@@ -318,12 +318,12 @@ SingleInteger(): Join(IntegerNumberSystem,OrderedFinite,Logic,OpenMath) with
addmod(a,b,p) == QSADDMOD(a,b,p)$Lisp
submod(a,b,p) == QSDIFMOD(a,b,p)$Lisp
negative?(x) == QSMINUSP$Lisp x
- size() == (MAXINT - MININT + 1$Lisp) pretend NonNegativeInteger
+ size() == (MAXINT -$Lisp MININT +$Lisp 1$Lisp) pretend NonNegativeInteger
index i ==
i > size() => error ["index %1b out of range",i]
per(i + MININT - 1$Lisp)
lookup x ==
- (x - MININT + 1$Lisp) pretend PositiveInteger
+ (x -$Lisp MININT +$Lisp 1$Lisp) pretend PositiveInteger
reducedSystem(m, v) ==
diff --git a/src/algebra/strap/SINT.lsp b/src/algebra/strap/SINT.lsp
index 2678a626..7db8a6cd 100644
--- a/src/algebra/strap/SINT.lsp
+++ b/src/algebra/strap/SINT.lsp
@@ -444,7 +444,7 @@
(QSMINUSP |x|))
(DEFUN |SINT;size;Nni;49| ($)
- (QSPLUS (QSDIFFERENCE |$ShortMaximum| |$ShortMinimum|) 1))
+ (+ (- |$ShortMaximum| |$ShortMinimum|) 1))
(DEFUN |SINT;index;Pi$;50| (|i| $)
(COND
@@ -453,8 +453,7 @@
(SPADCALL |i| (|getShellEntry| $ 78)))))
('T (- (+ |i| |$ShortMinimum|) 1))))
-(DEFUN |SINT;lookup;$Pi;51| (|x| $)
- (QSPLUS (QSDIFFERENCE |x| |$ShortMinimum|) 1))
+(DEFUN |SINT;lookup;$Pi;51| (|x| $) (+ (- |x| |$ShortMinimum|) 1))
(DEFUN |SINT;reducedSystem;MVR;52| (|m| |v| $)
(DECLARE (IGNORE $))
@@ -516,7 +515,7 @@
(RETURN
(PROGN
(LETT |dv$| '(|SingleInteger|) . #0=(|SingleInteger|))
- (LETT $ (|newShell| 108) . #0#)
+ (LETT $ (|newShell| 109) . #0#)
(|setShellEntry| $ 0 |dv$|)
(|setShellEntry| $ 3
(LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#))
@@ -566,42 +565,43 @@
|SINT;index;Pi$;50| |SINT;lookup;$Pi;51| (|Vector| 5)
(|Record| (|:| |mat| 25) (|:| |vec| 81)) (|Vector| $)
|SINT;reducedSystem;MVR;52| |SINT;positiveRemainder;3$;53|
- |SINT;coerce;I$;54| |SINT;random;$;55| |SINT;random;2$;56|
+ (63 . |min|) |SINT;coerce;I$;54| |SINT;random;$;55|
+ |SINT;random;2$;56|
(|Record| (|:| |unit| $) (|:| |canonical| $)
(|:| |associate| $))
|SINT;unitNormal;$R;57| (|Fraction| 5)
- (|Union| 91 '"failed") (|Union| $ '"failed") (|Float|)
+ (|Union| 92 '"failed") (|Union| $ '"failed") (|Float|)
(|DoubleFloat|) (|Pattern| 5) (|PatternMatchResult| 5 $)
(|InputForm|) (|Union| 5 '"failed") (|List| $)
- (|Record| (|:| |coef| 100) (|:| |generator| $))
- (|Union| 100 '"failed")
+ (|Record| (|:| |coef| 101) (|:| |generator| $))
+ (|Union| 101 '"failed")
(|Record| (|:| |coef1| $) (|:| |coef2| $)
(|:| |generator| $))
(|Record| (|:| |coef1| $) (|:| |coef2| $))
- (|Union| 104 '"failed") (|Factored| $)
+ (|Union| 105 '"failed") (|Factored| $)
(|SparseUnivariatePolynomial| $))
- '#(~= 63 ~ 69 |zero?| 74 |xor| 79 |unitNormal| 85
- |unitCanonical| 90 |unit?| 95 |symmetricRemainder| 100
- |subtractIfCan| 106 |submod| 112 |squareFreePart| 119
- |squareFree| 124 |sizeLess?| 129 |size| 135 |sign| 139
- |shift| 144 |sample| 150 |retractIfCan| 154 |retract| 159
- |rem| 164 |reducedSystem| 170 |recip| 181 |rationalIfCan|
- 186 |rational?| 191 |rational| 196 |random| 201 |quo| 210
- |principalIdeal| 216 |prime?| 221 |powmod| 226
- |positiveRemainder| 233 |positive?| 239 |permutation| 244
- |patternMatch| 250 |one?| 257 |odd?| 262 |not| 267
- |nextItem| 272 |negative?| 277 |multiEuclidean| 282
- |mulmod| 288 |min| 295 |max| 305 |mask| 315 |lookup| 320
- |length| 325 |lcm| 330 |latex| 341 |invmod| 346 |init| 352
- |index| 356 |inc| 361 |hash| 366 |gcdPolynomial| 371 |gcd|
- 377 |factorial| 388 |factor| 393 |extendedEuclidean| 398
- |exquo| 411 |expressIdealMember| 417 |even?| 423
- |euclideanSize| 428 |divide| 433 |differentiate| 439 |dec|
- 450 |copy| 455 |convert| 460 |coerce| 485 |characteristic|
- 505 |bit?| 509 |binomial| 515 |base| 521 |associates?| 525
- |addmod| 531 |abs| 538 |\\/| 543 |Zero| 549 |Or| 553 |One|
- 559 |OMwrite| 563 |Not| 587 D 592 |And| 603 >= 609 > 615 =
- 621 <= 627 < 633 |/\\| 639 - 645 + 656 ** 662 * 674)
+ '#(~= 67 ~ 73 |zero?| 78 |xor| 83 |unitNormal| 89
+ |unitCanonical| 94 |unit?| 99 |symmetricRemainder| 104
+ |subtractIfCan| 110 |submod| 116 |squareFreePart| 123
+ |squareFree| 128 |sizeLess?| 133 |size| 139 |sign| 143
+ |shift| 148 |sample| 154 |retractIfCan| 158 |retract| 163
+ |rem| 168 |reducedSystem| 174 |recip| 185 |rationalIfCan|
+ 190 |rational?| 195 |rational| 200 |random| 205 |quo| 214
+ |principalIdeal| 220 |prime?| 225 |powmod| 230
+ |positiveRemainder| 237 |positive?| 243 |permutation| 248
+ |patternMatch| 254 |one?| 261 |odd?| 266 |not| 271
+ |nextItem| 276 |negative?| 281 |multiEuclidean| 286
+ |mulmod| 292 |min| 299 |max| 309 |mask| 319 |lookup| 324
+ |length| 329 |lcm| 334 |latex| 345 |invmod| 350 |init| 356
+ |index| 360 |inc| 365 |hash| 370 |gcdPolynomial| 375 |gcd|
+ 381 |factorial| 392 |factor| 397 |extendedEuclidean| 402
+ |exquo| 415 |expressIdealMember| 421 |even?| 427
+ |euclideanSize| 432 |divide| 437 |differentiate| 443 |dec|
+ 454 |copy| 459 |convert| 464 |coerce| 489 |characteristic|
+ 509 |bit?| 513 |binomial| 519 |base| 525 |associates?| 529
+ |addmod| 535 |abs| 542 |\\/| 547 |Zero| 553 |Or| 557 |One|
+ 563 |OMwrite| 567 |Not| 591 D 596 |And| 607 >= 613 > 619 =
+ 625 <= 631 < 637 |/\\| 643 - 649 + 660 ** 666 * 678)
'((|noetherian| . 0) (|canonicalsClosed| . 0)
(|canonical| . 0) (|canonicalUnitNormal| . 0)
(|multiplicativeValuation| . 0) (|noZeroDivisors| . 0)
@@ -647,56 +647,56 @@
(|OrderedSet|) (|AbelianSemiGroup|)
(|SemiGroup|) (|Logic|) (|RealConstant|)
(|RetractableTo| 5) (|SetCategory|)
- (|OpenMath|) (|ConvertibleTo| 94)
- (|ConvertibleTo| 95)
- (|CombinatorialFunctionCategory|)
+ (|OpenMath|) (|ConvertibleTo| 95)
(|ConvertibleTo| 96)
- (|ConvertibleTo| 98) (|ConvertibleTo| 5)
+ (|CombinatorialFunctionCategory|)
+ (|ConvertibleTo| 97)
+ (|ConvertibleTo| 99) (|ConvertibleTo| 5)
(|CoercibleFrom| $$) (|CoercibleFrom| 5)
(|BasicType|) (|CoercibleTo| 28))
- (|makeByteWordVec2| 107
+ (|makeByteWordVec2| 108
'(1 8 7 0 9 3 8 7 0 10 10 11 2 8 7 0 5
12 1 8 7 0 13 0 14 0 15 2 8 0 10 14
16 1 8 7 0 17 1 8 7 0 18 1 8 7 0 19 1
- 5 28 0 29 1 0 0 5 32 1 77 28 0 78 2 0
- 21 0 0 1 1 0 0 0 40 1 0 21 0 64 2 0 0
- 0 0 47 1 0 89 0 90 1 0 0 0 1 1 0 21 0
- 1 2 0 0 0 0 1 2 0 93 0 0 1 3 0 0 0 0
- 0 74 1 0 0 0 1 1 0 106 0 1 2 0 21 0 0
- 1 0 0 55 76 1 0 5 0 1 2 0 0 0 0 71 0
- 0 0 1 1 0 99 0 1 1 0 5 0 1 2 0 0 0 0
- 58 1 0 25 26 27 2 0 82 26 83 84 1 0
- 93 0 1 1 0 92 0 1 1 0 21 0 1 1 0 91 0
- 1 1 0 0 0 88 0 0 0 87 2 0 0 0 0 57 1
- 0 101 100 1 1 0 21 0 1 3 0 0 0 0 0 1
- 2 0 0 0 0 85 1 0 21 0 1 2 0 0 0 0 1 3
- 0 97 0 96 97 1 1 0 21 0 65 1 0 21 0
- 63 1 0 0 0 41 1 0 93 0 1 1 0 21 0 75
- 2 0 102 100 0 1 3 0 0 0 0 0 72 0 0 0
- 38 2 0 0 0 0 67 0 0 0 37 2 0 0 0 0 66
- 1 0 0 0 1 1 0 77 0 80 1 0 0 0 70 1 0
- 0 100 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 77 79 1 0 0 0 49
- 1 0 68 0 69 2 0 107 107 107 1 1 0 0
- 100 1 2 0 0 0 0 61 1 0 0 0 1 1 0 106
- 0 1 2 0 103 0 0 1 3 0 105 0 0 0 1 2 0
- 93 0 0 1 2 0 102 100 0 1 1 0 21 0 1 1
- 0 55 0 1 2 0 59 0 0 60 1 0 0 0 1 2 0
- 0 0 55 1 1 0 0 0 50 1 0 0 0 1 1 0 94
- 0 1 1 0 95 0 1 1 0 96 0 1 1 0 98 0 1
- 1 0 5 0 31 1 0 0 5 86 1 0 0 0 1 1 0 0
- 5 86 1 0 28 0 30 0 0 55 1 2 0 21 0 0
- 1 2 0 0 0 0 1 0 0 0 36 2 0 21 0 0 1 3
- 0 0 0 0 0 73 1 0 0 0 62 2 0 0 0 0 43
- 0 0 0 34 2 0 0 0 0 46 0 0 0 35 2 0 7
- 8 0 23 3 0 7 8 0 21 24 2 0 10 0 21 22
- 1 0 10 0 20 1 0 0 0 44 1 0 0 0 1 2 0
- 0 0 55 1 2 0 0 0 0 45 2 0 21 0 0 1 2
- 0 21 0 0 1 2 0 21 0 0 39 2 0 21 0 0 1
- 2 0 21 0 0 48 2 0 0 0 0 42 1 0 0 0 51
- 2 0 0 0 0 53 2 0 0 0 0 52 2 0 0 0 55
- 56 2 0 0 0 77 1 2 0 0 0 0 54 2 0 0 5
- 0 33 2 0 0 55 0 1 2 0 0 77 0 1)))))
+ 5 28 0 29 1 0 0 5 32 1 77 28 0 78 0
+ 21 0 86 2 0 21 0 0 1 1 0 0 0 40 1 0
+ 21 0 64 2 0 0 0 0 47 1 0 90 0 91 1 0
+ 0 0 1 1 0 21 0 1 2 0 0 0 0 1 2 0 94 0
+ 0 1 3 0 0 0 0 0 74 1 0 0 0 1 1 0 107
+ 0 1 2 0 21 0 0 1 0 0 55 76 1 0 5 0 1
+ 2 0 0 0 0 71 0 0 0 1 1 0 100 0 1 1 0
+ 5 0 1 2 0 0 0 0 58 1 0 25 26 27 2 0
+ 82 26 83 84 1 0 94 0 1 1 0 93 0 1 1 0
+ 21 0 1 1 0 92 0 1 1 0 0 0 89 0 0 0 88
+ 2 0 0 0 0 57 1 0 102 101 1 1 0 21 0 1
+ 3 0 0 0 0 0 1 2 0 0 0 0 85 1 0 21 0 1
+ 2 0 0 0 0 1 3 0 98 0 97 98 1 1 0 21 0
+ 65 1 0 21 0 63 1 0 0 0 41 1 0 94 0 1
+ 1 0 21 0 75 2 0 103 101 0 1 3 0 0 0 0
+ 0 72 0 0 0 38 2 0 0 0 0 67 0 0 0 37 2
+ 0 0 0 0 66 1 0 0 0 1 1 0 77 0 80 1 0
+ 0 0 70 1 0 0 101 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 77 79 1
+ 0 0 0 49 1 0 68 0 69 2 0 108 108 108
+ 1 1 0 0 101 1 2 0 0 0 0 61 1 0 0 0 1
+ 1 0 107 0 1 2 0 104 0 0 1 3 0 106 0 0
+ 0 1 2 0 94 0 0 1 2 0 103 101 0 1 1 0
+ 21 0 1 1 0 55 0 1 2 0 59 0 0 60 1 0 0
+ 0 1 2 0 0 0 55 1 1 0 0 0 50 1 0 0 0 1
+ 1 0 95 0 1 1 0 96 0 1 1 0 97 0 1 1 0
+ 99 0 1 1 0 5 0 31 1 0 0 5 87 1 0 0 0
+ 1 1 0 0 5 87 1 0 28 0 30 0 0 55 1 2 0
+ 21 0 0 1 2 0 0 0 0 1 0 0 0 36 2 0 21
+ 0 0 1 3 0 0 0 0 0 73 1 0 0 0 62 2 0 0
+ 0 0 43 0 0 0 34 2 0 0 0 0 46 0 0 0 35
+ 2 0 7 8 0 23 3 0 7 8 0 21 24 2 0 10 0
+ 21 22 1 0 10 0 20 1 0 0 0 44 1 0 0 0
+ 1 2 0 0 0 55 1 2 0 0 0 0 45 2 0 21 0
+ 0 1 2 0 21 0 0 1 2 0 21 0 0 39 2 0 21
+ 0 0 1 2 0 21 0 0 48 2 0 0 0 0 42 1 0
+ 0 0 51 2 0 0 0 0 53 2 0 0 0 0 52 2 0
+ 0 0 55 56 2 0 0 0 77 1 2 0 0 0 0 54 2
+ 0 0 5 0 33 2 0 0 55 0 1 2 0 0 77 0 1)))))
'|lookupComplete|))
(MAKEPROP '|SingleInteger| 'NILADIC T)