author | Claus Gittinger <cg@exept.de> |
Tue, 05 Nov 1996 14:32:24 +0100 | |
changeset 1883 | d3fbf4b36be7 |
parent 1857 | 94f36a4923db |
child 1890 | aca066e06680 |
permissions | -rw-r--r-- |
1 | 1 |
" |
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COPYRIGHT (c) 1994 by Claus Gittinger |
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All Rights Reserved |
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This software is furnished under a license and may be used |
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only in accordance with the terms of that license and with the |
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inclusion of the above copyright notice. This software may not |
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be provided or otherwise made available to, or used by, any |
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other person. No title to or ownership of the software is |
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hereby transferred. |
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" |
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||
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Integer subclass:#LargeInteger |
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instanceVariableNames:'sign digitByteArray' |
15 |
classVariableNames:'' |
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poolDictionaries:'' |
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category:'Magnitude-Numbers' |
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! |
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||
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!LargeInteger class methodsFor:'documentation'! |
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|
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copyright |
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" |
|
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COPYRIGHT (c) 1994 by Claus Gittinger |
|
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All Rights Reserved |
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|
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This software is furnished under a license and may be used |
|
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only in accordance with the terms of that license and with the |
|
29 |
inclusion of the above copyright notice. This software may not |
|
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be provided or otherwise made available to, or used by, any |
|
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other person. No title to or ownership of the software is |
|
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hereby transferred. |
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" |
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! |
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||
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documentation |
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" |
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This class provides arbitrary precision integers. These are represented as: |
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sign (-1/0/+1) and, if sign ~~ 0 |
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a ByteArray of digits with 8 bits per element; |
|
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least significant 8 bits at index 1 ... |
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|
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The implementation is definitely not tuned for high performance |
44 |
(some key-methods should be rewritten as primitives), |
|
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but ok for now, since LargeIntegers are not used very often. |
46 |
It will be reimplemented when everything else runs fine and a need arises |
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(or someone rewrites it and sends me the code :-). |
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||
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For real speed, its implementation should be mapped onto a tuned arbitrary |
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precision math package (maybe even special-cased for 32 and 64 bit |
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large-ints, since those are the most common). |
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||
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LargeIntegers are usually not created explicitely, but result from |
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SmallInteger arithmetic overflowing the SmallInteger range. |
|
357 | 55 |
Also, results of LargeInteger operations are converted to back to |
56 |
SmallIntegers, when possible (see normalize). |
|
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In contrast to ST-80, there is only one class for LargeIntegers, keeping |
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the sign as an instance variable (ST-80 has LargePositiveInteger and |
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LargeNegativeInteger). This may change. |
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|
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[author:] |
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Claus Gittinger |
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[see also:] |
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Number |
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Float Fraction |
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SmallInteger |
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" |
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! ! |
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!LargeInteger class methodsFor:'instance creation'! |
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new |
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"catch creation message" |
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||
77 |
self error:'LargeIntegers cannot be created with new' |
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! |
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||
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new:numberOfDigits |
81 |
"catch creation message" |
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self error:'LargeIntegers cannot be created with new' |
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! |
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||
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value:aSmallInteger |
87 |
"create and return a new LargeInteger with value taken from |
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the argument, aSmallInteger. |
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Notice: this should be only used internally, since such small |
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largeIntegers do not normally occur in the system. |
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May change without notice." |
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||
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^ self basicNew value:aSmallInteger |
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||
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"LargeInteger value:3689" |
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! ! |
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||
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!LargeInteger class methodsFor:'queries'! |
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isBuiltInClass |
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"return true if this class is known by the run-time-system. |
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Here, true is returned." |
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^ true |
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"Modified: 23.4.1996 / 15:59:21 / cg" |
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! ! |
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||
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!LargeInteger methodsFor:'arithmetic'! |
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* aNumber |
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"return the product of the receiver and the argument, aNumber" |
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|otherSign| |
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||
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(sign == 0) ifTrue:[^ 0]. "cannot happen if correctly normalized" |
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||
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" |
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this is the common case, multiplying with SmallInteger. |
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Use a special method for this case ... |
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" |
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(aNumber class == SmallInteger) ifTrue:[ |
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^ self productFromInteger:aNumber |
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]. |
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||
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" |
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if the argument is not a largeInteger, coerce |
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" |
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(aNumber class == self class) ifFalse:[ |
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^ self retry:#* coercing:aNumber |
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]. |
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otherSign := aNumber sign. |
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(sign == otherSign) ifTrue:[^ self absMul:aNumber]. |
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(otherSign == 0) ifTrue:[^ 0]. |
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^ (self absMul:aNumber) sign:-1 |
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! |
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||
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+ aNumber |
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"return the sum of the receiver and the argument, aNumber" |
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|otherSign| |
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(sign == 0) ifTrue:[^ aNumber]. "cannot happen if correctly normalized" |
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||
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" |
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this is the common case, adding a SmallInteger. |
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Use a special method for this case ... |
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" |
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(aNumber class == SmallInteger) ifTrue:[ |
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^ self sumFromInteger:aNumber |
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]. |
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||
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" |
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if the argument is not a largeInteger, coerce |
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" |
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(aNumber class == self class) ifFalse:[ |
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^ self retry:#+ coercing:aNumber |
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]. |
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||
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otherSign := aNumber sign. |
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(sign > 0) ifTrue:[ |
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"I am positive" |
164 |
(otherSign > 0) ifTrue:[^ self absPlus:aNumber]. |
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(otherSign < 0) ifTrue:[^ self absMinus:aNumber]. |
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^ self |
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]. |
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"I am negative" |
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(otherSign > 0) ifTrue:[^ aNumber absMinus:self]. |
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(otherSign < 0) ifTrue:[^ (self absPlus:aNumber) sign:-1]. |
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^ self |
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" |
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SmallInteger maxVal |
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SmallInteger maxVal + 1 |
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SmallInteger maxVal + 2 |
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SmallInteger minVal |
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SmallInteger minVal - 1 |
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" |
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! |
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- aNumber |
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"return the difference of the receiver and the argument, aNumber" |
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||
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|otherSign| |
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(sign == 0) ifTrue:[^ aNumber negated]. "cannot happen if correctly normalized" |
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||
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" |
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this is the common case, subtracting a SmallInteger. |
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Use a special method for this case ... |
|
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" |
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(aNumber class == SmallInteger) ifTrue:[ |
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sign < 0 ifTrue:[ |
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aNumber > 0 ifTrue:[ |
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^ (self absFastPlus:aNumber) sign:-1 |
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]. |
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^ (self absFastMinus:aNumber) sign:-1 |
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]. |
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aNumber > 0 ifTrue:[ |
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^ self absFastMinus:aNumber |
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]. |
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^ self absFastPlus:aNumber |
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]. |
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||
206 |
" |
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if the argument is not a largeInteger, coerce |
|
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" |
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(aNumber class == self class) ifFalse:[ |
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^ self retry:#- coercing:aNumber |
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]. |
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otherSign := aNumber sign. |
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(sign > 0) ifTrue:[ |
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"I am positive" |
216 |
(otherSign > 0) ifTrue:[^ self absMinus:aNumber]. |
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(otherSign < 0) ifTrue:[^ self absPlus:aNumber]. |
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^ self |
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]. |
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"I am negative" |
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(otherSign > 0) ifTrue:[^ (self absPlus:aNumber) negated]. |
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(otherSign < 0) ifTrue:[^ (self absMinus:aNumber) negated]. |
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^ self |
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||
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" |
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12345678901234567890 - 0 |
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12345678901234567890 - 1 |
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12345678901234567890 - -1 |
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-12345678901234567890 - 1 |
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-12345678901234567890 - -1 |
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12345678901234567890 - 12345678901234567880 |
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12345678901234567890 - 12345000000000000000 |
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12345678901234567890 - -87654321098765432110 |
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-12345678901234567890 - 87654321098765432110 |
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-12345678901234567890 - -12345678901234567880 |
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-12345678901234567890 - -12345678901234567980 |
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" |
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"Modified: 20.10.1996 / 18:42:16 / cg" |
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! |
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||
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/ aNumber |
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"return the quotient of the receiver and the argument, aNumber" |
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|
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aNumber isInteger ifTrue:[ |
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^ (Fraction numerator:self |
|
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denominator:aNumber) reduced |
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]. |
250 |
||
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"this is a q&d hack - we loose lots of precision here ..." |
252 |
^ (self asFloat / aNumber asFloat) |
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! |
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||
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// aNumber |
1883
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renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
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"return the quotient of the receiver and the argument, aNumber. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
257 |
The result is truncated toward negative infinity and negative, |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
258 |
if the operands signs differ." |
1 | 259 |
|
1883
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parents:
1857
diff
changeset
|
260 |
|otherSign divMod d rem abs "{ Class: SmallInteger }" n| |
1 | 261 |
|
262 |
otherSign := aNumber sign. |
|
263 |
||
92 | 264 |
" |
265 |
this is the common case, dividing by a SmallInteger. |
|
266 |
Use a special method for this case ... |
|
267 |
" |
|
68 | 268 |
(aNumber class == SmallInteger) ifTrue:[ |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
269 |
abs := aNumber. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
270 |
abs := abs abs. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
271 |
(abs between:1 and:16r003fffff) ifTrue:[ |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
272 |
divMod := self absFastDiv:abs. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
273 |
rem := divMod at:1. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
274 |
(sign == otherSign) ifTrue:[^ rem]. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
275 |
|
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
276 |
"/ stupid adjust ... |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
277 |
(divMod at:2) == 0 ifFalse:[ |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
278 |
^ (rem sign:-1) - 1 |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
279 |
]. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
280 |
^ rem sign:-1 |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
281 |
]. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
282 |
n := aNumber asLargeInteger. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
283 |
] ifFalse:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
284 |
n := aNumber |
1 | 285 |
]. |
68 | 286 |
|
92 | 287 |
" |
288 |
if the argument is not a largeInteger, coerce |
|
289 |
" |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
290 |
(n class == self class) ifFalse:[ |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
291 |
^ self retry:#// coercing:aNumber |
1 | 292 |
]. |
293 |
||
92 | 294 |
sign < 0 ifTrue:[ |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
295 |
(sign == otherSign) ifTrue:[^ (self absDiv:n negated) at:1]. |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
296 |
] ifFalse:[ |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
297 |
(sign == otherSign) ifTrue:[^ (self absDiv:n) at:1]. |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
298 |
]. |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
299 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
300 |
divMod := self absDiv:n. |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
301 |
"/ stupid adjust ... |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
302 |
(divMod at:2) == 0 ifFalse:[ |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
303 |
^ ((divMod at:1) sign:-1) - 1 |
1 | 304 |
]. |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
305 |
^ (divMod at:1) sign:-1 |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
306 |
|
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
307 |
" |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
308 |
900 // 400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
309 |
-900 // 400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
310 |
900 // -400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
311 |
-900 // -400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
312 |
|
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
313 |
9000000000 // 4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
314 |
-9000000000 // 4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
315 |
9000000000 // -4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
316 |
-9000000000 // -4000000000 |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
317 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
318 |
900 quo: 400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
319 |
-900 quo: 400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
320 |
900 quo: -400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
321 |
-900 quo: -400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
322 |
|
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
323 |
9000000000 quo: 4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
324 |
-9000000000 quo: 4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
325 |
9000000000 quo: -4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
326 |
-9000000000 quo: -4000000000 |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
327 |
" |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
328 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
329 |
"Modified: 5.11.1996 / 14:16:46 / cg" |
68 | 330 |
! |
331 |
||
332 |
\\ aNumber |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
333 |
"return the remainder of division of the receiver by the argument, aNumber. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
334 |
The sign of the result is that of aNumber." |
68 | 335 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
336 |
|abs rem| |
68 | 337 |
|
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
338 |
abs := aNumber abs. |
92 | 339 |
|
340 |
" |
|
341 |
this is the common case, dividing by a SmallInteger. |
|
342 |
Use a special method for this case ... |
|
343 |
" |
|
68 | 344 |
(aNumber class == SmallInteger) ifTrue:[ |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
345 |
(abs between:1 and:16r003fffff) ifTrue:[ |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
346 |
rem := (self absFastDiv:abs) at:2. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
347 |
] ifFalse:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
348 |
rem := (self absDiv:abs asLargeInteger) at:2 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
349 |
]. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
350 |
] ifFalse:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
351 |
" |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
352 |
if the argument is not a largeInteger, coerce |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
353 |
" |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
354 |
(aNumber class == self class) ifFalse:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
355 |
^ self retry:#\\ coercing:aNumber |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
356 |
]. |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
357 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
358 |
rem := (self absDiv:abs) at:2. |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
359 |
]. |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
360 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
361 |
aNumber negative ifTrue:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
362 |
^ rem negated |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
363 |
]. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
364 |
^ rem |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
365 |
|
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
366 |
" |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
367 |
900 \\ 400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
368 |
-900 \\ 400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
369 |
900 \\ -400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
370 |
-900 \\ -400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
371 |
|
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
372 |
9000000000 \\ 4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
373 |
-9000000000 \\ 4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
374 |
9000000000 \\ -4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
375 |
-9000000000 \\ -4000000000 |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
376 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
377 |
900 rem: 400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
378 |
-900 rem: 400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
379 |
900 rem: -400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
380 |
-900 rem: -400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
381 |
|
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
382 |
9000000000 rem: 4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
383 |
-9000000000 rem: 4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
384 |
9000000000 rem: -4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
385 |
-9000000000 rem: -4000000000 |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
386 |
" |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
387 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
388 |
"Modified: 5.11.1996 / 13:54:32 / cg" |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
389 |
! |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
390 |
|
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
391 |
divMod:aNumber |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
392 |
"return an array filled with self // aNumber and |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
393 |
self \\ aNumber. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
394 |
The result is only defined for positive receiver and |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
395 |
argument." |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
396 |
|
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
397 |
|otherSign divMod d rem abs "{ Class: SmallInteger }" | |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
398 |
|
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
399 |
" |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
400 |
this is the common case, dividing by a SmallInteger. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
401 |
Use a special method for this case ... |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
402 |
" |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
403 |
(aNumber class == SmallInteger) ifTrue:[ |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
404 |
^ self absFastDiv:aNumber abs. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
405 |
]. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
406 |
|
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
407 |
" |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
408 |
if the argument is not a largeInteger, coerce |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
409 |
" |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
410 |
(aNumber class == self class) ifTrue:[ |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
411 |
^ self absDiv:aNumber abs |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
412 |
]. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
413 |
|
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
414 |
^ super divMod:aNumber |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
415 |
|
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
416 |
" |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
417 |
9000000000 // 4000000000 => 2 |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
418 |
|
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
419 |
9000000000 \\ 4000000000 => 1000000000 |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
420 |
|
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
421 |
9000000000 divMod: 4000000000 => #(2 1000000000) |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
422 |
" |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
423 |
|
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
424 |
"Modified: 29.10.1996 / 20:44:23 / cg" |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
425 |
"Created: 29.10.1996 / 21:22:05 / cg" |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
426 |
! |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
427 |
|
1210 | 428 |
negated |
429 |
"return an integer with value negated from the receivers value." |
|
430 |
||
431 |
|newNumber| |
|
432 |
||
433 |
(sign == 0) ifTrue:[^ 0]. |
|
434 |
||
435 |
" |
|
436 |
special case for SmallInteger minVal |
|
437 |
" |
|
438 |
sign == 1 ifTrue:[ |
|
439 |
digitByteArray size == 4 ifTrue:[ |
|
440 |
(digitByteArray at:1) == 0 ifTrue:[ |
|
441 |
(digitByteArray at:2) == 0 ifTrue:[ |
|
442 |
(digitByteArray at:3) == 0 ifTrue:[ |
|
443 |
(digitByteArray at:4) == 16r40 ifTrue:[ |
|
444 |
^ SmallInteger minVal |
|
445 |
]. |
|
446 |
] |
|
447 |
] |
|
448 |
] |
|
449 |
] |
|
450 |
]. |
|
451 |
newNumber := self shallowCopy. |
|
452 |
newNumber sign:(sign negated). |
|
453 |
^ newNumber |
|
454 |
! |
|
455 |
||
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
456 |
quo:aNumber |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
457 |
"return the quotient of the receiver and the argument, aNumber. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
458 |
The result is truncated toward zero (which is different from //, which |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
459 |
truncates toward negative infinity). |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
460 |
The results sign is negative if the receiver has a sign |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
461 |
different from the args sign" |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
462 |
|
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
463 |
|otherSign d quo abs "{ Class: SmallInteger }" | |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
464 |
|
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
465 |
otherSign := aNumber sign. |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
466 |
|
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
467 |
" |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
468 |
this is the common case, dividing by a SmallInteger. |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
469 |
Use a special method for this case ... |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
470 |
" |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
471 |
(aNumber class == SmallInteger) ifTrue:[ |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
472 |
abs := aNumber. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
473 |
abs := abs abs. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
474 |
(abs between:1 and:16r003fffff) ifTrue:[ |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
475 |
quo := (self absFastDiv:abs) at:1. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
476 |
(sign == otherSign) ifTrue:[^ quo]. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
477 |
^ quo sign:-1 |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
478 |
] |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
479 |
]. |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
480 |
|
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
481 |
" |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
482 |
if the argument is not a largeInteger, coerce |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
483 |
" |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
484 |
(aNumber class == self class) ifFalse:[ |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
485 |
^ self retry:#quo: coercing:aNumber |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
486 |
]. |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
487 |
|
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
488 |
sign < 0 ifTrue:[ |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
489 |
(sign == otherSign) ifTrue:[^ (self absDiv:aNumber negated) at:1]. |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
490 |
] ifFalse:[ |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
491 |
(sign == otherSign) ifTrue:[^ (self absDiv:aNumber) at:1]. |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
492 |
]. |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
493 |
^ ((self absDiv:aNumber) at:1) sign:-1 |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
494 |
|
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
495 |
" |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
496 |
900 // 400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
497 |
-900 // 400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
498 |
900 // -400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
499 |
-900 // -400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
500 |
|
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
501 |
9000000000 // 4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
502 |
-9000000000 // 4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
503 |
9000000000 // -4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
504 |
-9000000000 // -4000000000 |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
505 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
506 |
900 quo: 400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
507 |
-900 quo: 400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
508 |
900 quo: -400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
509 |
-900 quo: -400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
510 |
|
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
511 |
9000000000 quo: 4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
512 |
-9000000000 quo: 4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
513 |
9000000000 quo: -4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
514 |
-9000000000 quo: -4000000000 |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
515 |
" |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
516 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
517 |
"Modified: 5.11.1996 / 14:14:17 / cg" |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
518 |
! |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
519 |
|
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
520 |
rem:aNumber |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
521 |
"return the remainder of division of the receiver by the argument, aNumber. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
522 |
The returned remainder has the same sign as the receiver." |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
523 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
524 |
|rem abs "{ Class: SmallInteger }" | |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
525 |
|
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
526 |
" |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
527 |
this is the common case, dividing by a SmallInteger. |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
528 |
Use special code for this case ... |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
529 |
" |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
530 |
(aNumber class == SmallInteger) ifTrue:[ |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
531 |
abs := aNumber. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
532 |
abs := abs abs. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
533 |
(abs between:1 and:16r003fffff) ifTrue:[ |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
534 |
rem := (self absFastDiv:abs) at:2. |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
535 |
] ifFalse:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
536 |
rem := (self absDiv:(abs asLargeInteger)) at:2 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
537 |
]. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
538 |
] ifFalse:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
539 |
" |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
540 |
if the argument is not a largeInteger, coerce |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
541 |
" |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
542 |
(aNumber class == self class) ifFalse:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
543 |
^ self retry:#\\ coercing:aNumber |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
544 |
]. |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
545 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
546 |
rem := (self absDiv:aNumber) at:2 |
1 | 547 |
]. |
92 | 548 |
|
549 |
sign < 0 ifTrue:[ |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
550 |
^ rem sign:-1 |
1 | 551 |
]. |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
552 |
^ rem |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
553 |
|
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
554 |
" |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
555 |
900 \\ 400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
556 |
-900 \\ 400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
557 |
900 \\ -400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
558 |
-900 \\ -400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
559 |
|
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
560 |
9000000000 \\ 4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
561 |
-9000000000 \\ 4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
562 |
9000000000 \\ -4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
563 |
-9000000000 \\ -4000000000 |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
564 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
565 |
900 rem: 400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
566 |
-900 rem: 400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
567 |
900 rem: -400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
568 |
-900 rem: -400 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
569 |
|
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
570 |
9000000000 rem: 4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
571 |
-9000000000 rem: 4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
572 |
9000000000 rem: -4000000000 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
573 |
-9000000000 rem: -4000000000 |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
574 |
" |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
575 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
576 |
"Modified: 5.11.1996 / 14:02:59 / cg" |
1 | 577 |
! ! |
578 |
||
701 | 579 |
!LargeInteger methodsFor:'byte access'! |
580 |
||
581 |
digitAt:index |
|
582 |
"return 8 bits of value, starting at byte index" |
|
583 |
||
584 |
index > digitByteArray size ifTrue:[^ 0]. |
|
585 |
^ digitByteArray at:index |
|
586 |
! |
|
587 |
||
588 |
digitAt:index put:aByte |
|
589 |
"set the 8 bits, index is a byte index" |
|
590 |
||
591 |
digitByteArray at:index put:aByte |
|
592 |
! |
|
593 |
||
594 |
digitLength |
|
595 |
"return the number bytes used by this Integer" |
|
596 |
||
597 |
" |
|
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
598 |
check if there is a 0-byte ... |
701 | 599 |
this allows to ask unnormalized LargeIntegers |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
600 |
for their digitLength |
701 | 601 |
" |
602 |
|l "{ Class: SmallInteger }" | |
|
92 | 603 |
|
701 | 604 |
l := digitByteArray size. |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
605 |
[l ~~ 0 and:[(digitByteArray at:l) == 0]] whileTrue:[ |
701 | 606 |
l := l - 1. |
607 |
]. |
|
608 |
^ l |
|
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
609 |
|
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
610 |
"Modified: 2.2.1996 / 16:47:21 / cg" |
701 | 611 |
! |
612 |
||
613 |
digits |
|
614 |
"return a byteArray fille with the receivers bits |
|
615 |
(8 bits of the absolute value per element)" |
|
616 |
||
617 |
^ digitByteArray |
|
618 |
! ! |
|
619 |
||
620 |
!LargeInteger methodsFor:'coercing & converting'! |
|
68 | 621 |
|
701 | 622 |
asFloat |
623 |
"return a Float with same value as myself. |
|
624 |
Since floats have a limited precision, you usually loose bits when |
|
625 |
doing this." |
|
626 |
||
627 |
|newFloat| |
|
628 |
||
629 |
newFloat := 0.0. |
|
630 |
(sign == 0) ifFalse:[ |
|
631 |
digitByteArray reverseDo:[:aDigit | |
|
632 |
newFloat := (newFloat * 256.0) + aDigit asFloat |
|
633 |
]. |
|
634 |
(sign < 0) ifTrue:[ |
|
635 |
newFloat := newFloat negated |
|
345 | 636 |
] |
701 | 637 |
]. |
638 |
^ newFloat |
|
639 |
||
640 |
" |
|
641 |
1234567890 asFloat |
|
642 |
12345678901234567890 asFloat |
|
643 |
12345678901234567890 asFloat asInteger |
|
644 |
" |
|
645 |
! |
|
646 |
||
647 |
asLargeInteger |
|
648 |
"return a LargeInteger with same value as myself - thats me" |
|
649 |
||
650 |
^ self |
|
651 |
! |
|
652 |
||
653 |
asSmallInteger |
|
654 |
"return a SmallInteger with same value as myself - |
|
655 |
the result is invalid if the receivers value cannot |
|
656 |
be represented as a SmallInteger. |
|
657 |
Q: should we raise an exception if this happens ?" |
|
658 |
||
659 |
|value| |
|
660 |
||
661 |
value := 0. |
|
662 |
(sign == 0) ifFalse:[ |
|
663 |
digitByteArray reverseDo:[:aDigit | |
|
664 |
value := (value times:256) + aDigit |
|
345 | 665 |
]. |
701 | 666 |
(sign < 0) ifTrue:[ |
667 |
value := value negated |
|
345 | 668 |
] |
68 | 669 |
]. |
701 | 670 |
^ value |
671 |
! |
|
672 |
||
673 |
coerce:aNumber |
|
674 |
"return the argument as a LargeInteger" |
|
675 |
||
676 |
^ aNumber asLargeInteger |
|
677 |
! |
|
678 |
||
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
679 |
compressed |
701 | 680 |
"if the receiver can be represented as a SmallInteger, return |
681 |
a SmallInteger with my value; otherwise return self with leading |
|
682 |
zeros removed" |
|
683 |
||
684 |
|index "{ Class: SmallInteger }" |
|
685 |
val "{ Class: SmallInteger }" | |
|
686 |
||
687 |
%{ /* NOCONTEXT */ |
|
688 |
OBJ t; |
|
689 |
||
1133 | 690 |
if (__INST(sign) == __MKSMALLINT(0)) { |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
691 |
RETURN (__MKSMALLINT(0)); |
701 | 692 |
} |
693 |
||
1133 | 694 |
t = __INST(digitByteArray); |
701 | 695 |
if (__isByteArray(t)) { |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
696 |
unsigned char *_digitBytes = __ByteArrayInstPtr(t)->ba_element; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
697 |
int _idx = _byteArraySize(t); |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
698 |
int _val; |
701 | 699 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
700 |
while ((_idx > 0) && (_digitBytes[_idx - 1] == 0)) { |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
701 |
_idx--; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
702 |
} |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
703 |
switch (_idx) { |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
704 |
case 0: |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
705 |
RETURN (__MKSMALLINT(0)); |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
706 |
break; |
701 | 707 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
708 |
case 1: |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
709 |
_val = _digitBytes[0]; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
710 |
if (__INST(sign) == __MKSMALLINT(-1)) |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
711 |
_val = -_val; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
712 |
RETURN (__MKSMALLINT(_val)); |
701 | 713 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
714 |
case 2: |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
715 |
_val = (_digitBytes[1]<<8) + _digitBytes[0]; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
716 |
if (__INST(sign) == __MKSMALLINT(-1)) |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
717 |
_val = -_val; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
718 |
RETURN (__MKSMALLINT(_val)); |
701 | 719 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
720 |
case 3: |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
721 |
_val = (((_digitBytes[2]<<8) + _digitBytes[1])<<8) + _digitBytes[0]; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
722 |
if (__INST(sign) == __MKSMALLINT(-1)) |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
723 |
_val = -_val; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
724 |
RETURN (__MKSMALLINT(_val)); |
701 | 725 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
726 |
case 4: |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
727 |
_val = _digitBytes[3]; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
728 |
if (_val <= 0x40) { |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
729 |
_val = (((((_val<<8) + _digitBytes[2])<<8) + _digitBytes[1])<<8) + _digitBytes[0]; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
730 |
if (__INST(sign) == __MKSMALLINT(-1)) |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
731 |
_val = -_val; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
732 |
if ((_val >= _MIN_INT) && (_val <= _MAX_INT)) { |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
733 |
RETURN (__MKSMALLINT(_val)); |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
734 |
} |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
735 |
} |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
736 |
break; |
701 | 737 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
738 |
default: |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
739 |
break; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
740 |
} |
701 | 741 |
} |
742 |
%}. |
|
743 |
index := digitByteArray size. |
|
744 |
[(index > 0) and:[(digitByteArray at:index) == 0]] whileTrue:[ |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
745 |
index := index - 1 |
701 | 746 |
]. |
747 |
||
748 |
(index ~~ digitByteArray size) ifTrue:[ |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
749 |
digitByteArray := digitByteArray copyFrom:1 to:index |
701 | 750 |
]. |
751 |
^ self |
|
752 |
! |
|
753 |
||
754 |
value:aSmallInteger |
|
755 |
"return a new LargeInteger with value taken from a SmallInteger. |
|
756 |
This method will fail, if the argument is not a smallInteger." |
|
757 |
||
758 |
|absValue |
|
759 |
b1 "{ Class: SmallInteger }" |
|
760 |
b2 "{ Class: SmallInteger }" |
|
761 |
b3 "{ Class: SmallInteger }"| |
|
92 | 762 |
|
763 |
" |
|
701 | 764 |
could have simply created a 4-byte largeinteger and normalize |
765 |
it; the code below does the normalize right away, avoiding the |
|
766 |
overhead of producing any intermediate byte-arrays (and the scanning) |
|
92 | 767 |
" |
701 | 768 |
(aSmallInteger == 0) ifTrue: [ |
769 |
digitByteArray := #[0]. |
|
770 |
sign := 0. |
|
771 |
^ self |
|
772 |
]. |
|
773 |
(aSmallInteger < 0) ifTrue: [ |
|
774 |
sign := -1. |
|
775 |
absValue := aSmallInteger negated |
|
776 |
] ifFalse: [ |
|
777 |
sign := 1. |
|
778 |
absValue := aSmallInteger |
|
779 |
]. |
|
780 |
b1 := absValue bitAnd:16rFF. |
|
781 |
absValue := absValue bitShift:-8. |
|
782 |
absValue == 0 ifTrue:[ |
|
783 |
digitByteArray := ByteArray with:b1 |
|
784 |
] ifFalse:[ |
|
785 |
b2 := absValue bitAnd:16rFF. |
|
786 |
absValue := absValue bitShift:-8. |
|
787 |
absValue == 0 ifTrue:[ |
|
788 |
digitByteArray := ByteArray with:b1 with:b2 |
|
789 |
] ifFalse:[ |
|
790 |
b3 := absValue bitAnd:16rFF. |
|
791 |
absValue := absValue bitShift:-8. |
|
792 |
absValue == 0 ifTrue:[ |
|
793 |
digitByteArray := ByteArray with:b1 with:b2 with:b3 |
|
794 |
] ifFalse:[ |
|
795 |
digitByteArray := ByteArray with:b1 with:b2 with:b3 with:absValue |
|
796 |
] |
|
797 |
] |
|
798 |
] |
|
799 |
! ! |
|
800 |
||
801 |
!LargeInteger methodsFor:'comparing'! |
|
802 |
||
803 |
< aNumber |
|
804 |
"return true, if the argument, aNumber is greater than the receiver" |
|
805 |
||
806 |
|otherSign| |
|
807 |
||
808 |
(aNumber class == self class) ifFalse:[ |
|
809 |
^ self retry:#< coercing:aNumber |
|
810 |
]. |
|
811 |
otherSign := aNumber sign. |
|
812 |
||
813 |
(sign > 0) ifTrue:[ |
|
814 |
"I am positive" |
|
815 |
(otherSign > 0) ifTrue:[^ self absLess:aNumber]. |
|
816 |
^ false "aNumber is <= 0" |
|
817 |
]. |
|
818 |
(sign == 0) ifTrue:[ |
|
819 |
(otherSign > 0) ifTrue:[^ true]. |
|
820 |
^ false |
|
821 |
]. |
|
822 |
"I am negative" |
|
823 |
(otherSign > 0) ifTrue:[^ true]. |
|
824 |
(otherSign == 0) ifTrue:[^ true]. |
|
825 |
^ (self absLess:aNumber) not |
|
92 | 826 |
! |
827 |
||
701 | 828 |
= aNumber |
829 |
"return true, if the argument, aNumber has the same value as |
|
830 |
the receiver" |
|
831 |
||
832 |
(aNumber class == self class) ifFalse:[ |
|
833 |
aNumber respondsToArithmetic ifFalse:[ ^ false ]. |
|
834 |
^ self retry:#= coercing:aNumber |
|
835 |
]. |
|
836 |
(aNumber sign == sign) ifFalse:[^ false]. |
|
837 |
^ self absEq:aNumber |
|
838 |
! |
|
839 |
||
840 |
> aNumber |
|
841 |
"return true, if the argument, aNumber is less than the receiver" |
|
842 |
||
843 |
|otherSign| |
|
844 |
||
845 |
(aNumber class == self class) ifFalse:[ |
|
846 |
^ self retry:#> coercing:aNumber |
|
847 |
]. |
|
848 |
otherSign := aNumber sign. |
|
849 |
||
850 |
(sign > 0) ifTrue:[ |
|
851 |
"I am positive" |
|
852 |
(otherSign > 0) ifTrue:[^ aNumber absLess:self]. |
|
853 |
^ true "aNumber is <= 0" |
|
854 |
]. |
|
855 |
(sign == 0) ifTrue:[ |
|
856 |
"I am zero" |
|
857 |
(otherSign > 0) ifTrue:[^ false]. |
|
858 |
^ true |
|
859 |
]. |
|
860 |
"I am negative" |
|
861 |
(otherSign > 0) ifTrue:[^ false]. |
|
862 |
(otherSign == 0) ifTrue:[^ false]. |
|
863 |
^ (self absLess:aNumber) not |
|
864 |
! ! |
|
865 |
||
866 |
!LargeInteger methodsFor:'double dispatching'! |
|
867 |
||
92 | 868 |
differenceFromInteger:anInteger |
869 |
"sent, when anInteger does not know how to subtract the receiver. |
|
870 |
Return the result of 'anInteger - self'. The argument must be a SmallInteger." |
|
871 |
||
872 |
anInteger > 0 ifTrue:[ |
|
1794 | 873 |
sign > 0 ifTrue:[ |
874 |
^ (self absFastMinus:anInteger) sign:-1 |
|
875 |
]. |
|
876 |
^ self absFastPlus:anInteger |
|
92 | 877 |
]. |
1794 | 878 |
anInteger == 0 ifTrue:[ |
879 |
^ self negated |
|
880 |
]. |
|
881 |
sign > 0 ifTrue:[ |
|
882 |
^ (self absFastPlus:anInteger negated) sign:-1 |
|
883 |
]. |
|
884 |
^ (self absFastMinus:anInteger) sign:-1 |
|
92 | 885 |
|
886 |
" |
|
887 |
12345678901234567890 |
|
888 |
-12345678901234567890 |
|
889 |
12345678901234567890 differenceFromInteger:0 |
|
890 |
12345678901234567890 differenceFromInteger:1 |
|
891 |
12345678901234567890 differenceFromInteger:-1 |
|
892 |
-12345678901234567890 differenceFromInteger:1 |
|
893 |
-12345678901234567890 differenceFromInteger:-1 |
|
894 |
" |
|
1794 | 895 |
|
896 |
"Modified: 20.10.1996 / 18:41:54 / cg" |
|
68 | 897 |
! |
898 |
||
899 |
productFromInteger:anInteger |
|
900 |
"sent, when anInteger does not know how to multiply the receiver. |
|
901 |
Return the product of the receiver and the argument, aSmallInteger" |
|
902 |
||
903 |
|num result |
|
904 |
resultDigitByteArray |
|
905 |
val "{ Class: SmallInteger }" |
|
906 |
len "{ Class: SmallInteger }" |
|
907 |
carry "{ Class: SmallInteger }" |
|
85 | 908 |
prod "{ Class: SmallInteger }" |
909 |
ok| |
|
68 | 910 |
|
911 |
"multiplying by a small integer is done here" |
|
912 |
||
913 |
"trivial cases" |
|
914 |
anInteger == 0 ifTrue:[^ 0]. |
|
915 |
anInteger == 1 ifTrue:[^ self]. |
|
916 |
||
917 |
num := anInteger abs. |
|
918 |
(num > 16r3FFFFF) ifTrue:[ |
|
1797
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
919 |
"if num is too big (so that multiplying by a byte could create a Large)" |
68 | 920 |
|
1797
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
921 |
^ anInteger retry:#* coercing:self |
68 | 922 |
]. |
923 |
||
924 |
len := digitByteArray size. |
|
925 |
||
926 |
result := self class basicNew numberOfDigits:(len + 4). |
|
1 | 927 |
|
68 | 928 |
anInteger < 0 ifTrue:[ |
1797
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
929 |
sign > 0 ifTrue:[ |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
930 |
result sign:-1 |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
931 |
]. |
68 | 932 |
] ifFalse:[ |
1797
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
933 |
sign < 0 ifTrue:[ |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
934 |
result sign:sign |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
935 |
] |
68 | 936 |
]. |
937 |
||
938 |
resultDigitByteArray := result digits. |
|
939 |
||
940 |
carry := 0. |
|
941 |
val := num. |
|
942 |
||
85 | 943 |
ok := false. |
944 |
%{ |
|
250 | 945 |
if (__bothSmallInteger(len, val) |
1133 | 946 |
&& __isByteArray(__INST(digitByteArray)) |
85 | 947 |
&& __isByteArray(resultDigitByteArray)) { |
1797
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
948 |
int _l = __intVal(len); |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
949 |
int _v = __intVal(val); |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
950 |
unsigned _carry = 0; |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
951 |
unsigned _prod; |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
952 |
unsigned char *digitP = __ByteArrayInstPtr(__INST(digitByteArray))->ba_element; |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
953 |
unsigned char *resultP = __ByteArrayInstPtr(resultDigitByteArray)->ba_element; |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
954 |
|
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
955 |
#if defined(i386) /* XXX actually: LSB_FIRST */ |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
956 |
/* max: 0xFFFF * 0xFFFF -> 0xrFFFE0001 |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
957 |
* + maxCarry (0xFFFF) -> 0xFFFF0000 |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
958 |
*/ |
85 | 959 |
|
1797
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
960 |
if (_v <= 0xFFFF) { |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
961 |
/* can do it short-wise */ |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
962 |
while (_l > 1) { |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
963 |
_prod = ((unsigned short *)digitP)[0] * _v + _carry; |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
964 |
((unsigned short *)resultP)[0] = _prod & 0xFFFF; |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
965 |
_carry = _prod >> 16; |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
966 |
digitP += 2; |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
967 |
resultP += 2; |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
968 |
_l -= 2; |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
969 |
} |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
970 |
} |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
971 |
#endif |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
972 |
{ |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
973 |
while (_l-- > 0) { |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
974 |
_prod = *digitP++ * _v + _carry; |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
975 |
*resultP++ = _prod & 0xFF; |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
976 |
_carry = _prod >> 8; |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
977 |
} |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
978 |
|
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
979 |
while (_carry) { |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
980 |
*resultP++ = _carry & 0xFF; |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
981 |
_carry >>= 8; |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
982 |
} |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
983 |
} |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
984 |
ok = true; |
85 | 985 |
} |
986 |
%}. |
|
92 | 987 |
" |
988 |
fall back - normally not reached |
|
989 |
(could make it a primitive-failure as well) |
|
990 |
" |
|
85 | 991 |
ok ifFalse:[ |
1797
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
992 |
1 to:len do:[:i | |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
993 |
prod := (digitByteArray basicAt:i) * val + carry. |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
994 |
resultDigitByteArray basicAt:i put:(prod bitAnd:16rFF). |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
995 |
carry := prod bitShift:-8. |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
996 |
]. |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
997 |
[carry ~~ 0] whileTrue:[ |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
998 |
len := len + 1. |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
999 |
resultDigitByteArray basicAt:len put:(carry bitAnd:16rFF). |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
1000 |
carry := carry bitShift:-8 |
8dafe47b33fd
faster multiplication by an integer.
Claus Gittinger <cg@exept.de>
parents:
1794
diff
changeset
|
1001 |
]. |
68 | 1002 |
]. |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1003 |
^ result compressed |
92 | 1004 |
! |
1005 |
||
701 | 1006 |
sumFromInteger:anInteger |
1007 |
"sent, when anInteger does not know how to add the receiver. |
|
1008 |
Return the sum of the receiver and the argument, (which must be a SmallInteger)" |
|
92 | 1009 |
|
701 | 1010 |
anInteger > 0 ifTrue:[ |
1794 | 1011 |
sign < 0 ifTrue:[ |
1012 |
^ (self absFastMinus:anInteger) sign:-1 |
|
1013 |
]. |
|
1014 |
^ self absFastPlus:anInteger |
|
701 | 1015 |
]. |
1794 | 1016 |
anInteger == 0 ifTrue:[ |
1017 |
^ self |
|
1018 |
]. |
|
1019 |
sign < 0 ifTrue:[ |
|
1020 |
^ (self absFastPlus:anInteger abs) sign:-1 |
|
1021 |
]. |
|
1022 |
^ self absFastMinus:anInteger |
|
92 | 1023 |
|
701 | 1024 |
" |
1025 |
12345678901234567890 |
|
1026 |
-12345678901234567890 |
|
1027 |
12345678901234567890 sumFromInteger:0 |
|
1028 |
-12345678901234567890 sumFromInteger:0 |
|
1029 |
12345678901234567890 sumFromInteger:1 |
|
1030 |
12345678901234567890 sumFromInteger:-1 |
|
1031 |
-12345678901234567890 sumFromInteger:1 |
|
1032 |
-12345678901234567890 sumFromInteger:-1 |
|
1033 |
" |
|
1794 | 1034 |
|
1035 |
"Modified: 20.10.1996 / 18:41:51 / cg" |
|
68 | 1036 |
! ! |
1037 |
||
701 | 1038 |
!LargeInteger methodsFor:'printing & storing'! |
345 | 1039 |
|
701 | 1040 |
storeOn:aStream |
1041 |
"append a representation of the receiver to aStream, which can |
|
1042 |
be used to reconstruct the receiver." |
|
68 | 1043 |
|
701 | 1044 |
self printOn:aStream. |
1045 |
aStream nextPutAll:' asLargeInteger' |
|
68 | 1046 |
! ! |
1047 |
||
1048 |
!LargeInteger methodsFor:'private'! |
|
1049 |
||
701 | 1050 |
absDiv:anInteger |
1051 |
"return an array with two LargeIntegers representing |
|
1052 |
abs(self) // abs(theArgument) and abs(self) \\ abs(theArgument). |
|
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
1053 |
Used as a helper for \\, //, rem: and quo:. |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
1054 |
This method needs a rewrite." |
68 | 1055 |
|
701 | 1056 |
|tmp1 tmp2 |
1057 |
rem |
|
1058 |
count "{ Class: SmallInteger }" |
|
1059 |
digit "{ Class: SmallInteger }" | |
|
92 | 1060 |
|
701 | 1061 |
anInteger == 0 ifTrue:[ |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1062 |
^ DivisionByZeroSignal raise |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1063 |
]. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1064 |
|
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1065 |
self = anInteger ifTrue:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1066 |
^ Array with:1 with:0 |
701 | 1067 |
]. |
92 | 1068 |
|
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
1069 |
tmp1 := self simpleDeepCopy. |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
1070 |
tmp1 sign:1. |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
1071 |
tmp2 := anInteger simpleDeepCopy. |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
1072 |
tmp2 sign:1. |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
1073 |
|
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
1074 |
(tmp1 < tmp2) ifTrue:[ |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1075 |
^ Array with:0 with:tmp1 |
68 | 1076 |
]. |
92 | 1077 |
|
701 | 1078 |
count := 0. |
1079 |
[tmp2 < tmp1] whileTrue:[ |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1080 |
tmp2 mul256. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1081 |
count := count + 1 |
701 | 1082 |
]. |
1083 |
||
1084 |
tmp2 div256. |
|
1085 |
||
1086 |
rem := 0 asLargeInteger. |
|
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
1087 |
rem sign:1. |
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
1088 |
|
701 | 1089 |
[count == 0] whileFalse:[ |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1090 |
digit := 0. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1091 |
[tmp1 >= tmp2] whileTrue:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1092 |
digit := digit + 1. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1093 |
tmp1 := tmp1 - tmp2 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1094 |
]. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1095 |
rem := (rem * 256) + digit. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1096 |
tmp2 div256. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1097 |
count := count - 1 |
701 | 1098 |
]. |
927
8d8edf9df0ae
fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents:
701
diff
changeset
|
1099 |
^ Array with:rem with:tmp1 |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1100 |
|
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1101 |
"Modified: 5.11.1996 / 13:46:14 / cg" |
92 | 1102 |
! |
1103 |
||
701 | 1104 |
absEq:aLargeInteger |
1105 |
"return true, if abs(self) = abs(theArgument)" |
|
92 | 1106 |
|
701 | 1107 |
|len1 "{ Class: SmallInteger }" |
1108 |
len2 "{ Class: SmallInteger }" |
|
1109 |
d1 "{ Class: SmallInteger }" |
|
1110 |
d2 "{ Class: SmallInteger }" |
|
1111 |
otherDigitByteArray | |
|
92 | 1112 |
|
701 | 1113 |
len1 := digitByteArray size. |
1114 |
otherDigitByteArray := aLargeInteger digits. |
|
1115 |
len2 := otherDigitByteArray size. |
|
92 | 1116 |
|
701 | 1117 |
[(digitByteArray basicAt:len1) == 0] whileTrue:[ |
1118 |
len1 := len1 - 1 |
|
1119 |
]. |
|
1120 |
[(otherDigitByteArray basicAt:len2) == 0] whileTrue:[ |
|
1121 |
len2 := len2 - 1 |
|
68 | 1122 |
]. |
701 | 1123 |
(len1 ~~ len2) ifTrue:[^ false]. |
1124 |
[len1 > 0] whileTrue:[ |
|
1125 |
d1 := digitByteArray basicAt:len1. |
|
1126 |
d2 := otherDigitByteArray basicAt:len1. |
|
1127 |
(d1 ~~ d2) ifTrue:[^ false]. |
|
1128 |
len1 := len1 - 1 |
|
68 | 1129 |
]. |
701 | 1130 |
^ true |
68 | 1131 |
! |
1132 |
||
1133 |
absFastDiv:aSmallInteger |
|
1134 |
"return an array with two LargeIntegers representing |
|
1135 |
abs(self) // aSmallInteger and abs(self) \\ aSmallInteger" |
|
1136 |
||
77 | 1137 |
|tmp1 "{ Class: SmallInteger }" |
1138 |
prevRest "{ Class: SmallInteger }" |
|
1139 |
count "{ Class: SmallInteger }" |
|
85 | 1140 |
newDigitByteArray result |
1141 |
ok| |
|
68 | 1142 |
|
1143 |
aSmallInteger == 0 ifTrue:[ |
|
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1144 |
^ DivisionByZeroSignal raise |
68 | 1145 |
]. |
1146 |
||
1147 |
"This cannot happen (if always normalized) |
|
1148 |
self < aSmallInteger ifTrue:[ |
|
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1149 |
^ Array with:0 with:self |
68 | 1150 |
]. |
1151 |
" |
|
1152 |
count := digitByteArray size. |
|
1153 |
result := self class basicNew numberOfDigits:count. |
|
1154 |
newDigitByteArray := result digits. |
|
85 | 1155 |
ok := false. |
1156 |
%{ |
|
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1157 |
OBJ __digits; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1158 |
|
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1159 |
__digits = __INST(digitByteArray); |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1160 |
|
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1161 |
if (__isByteArray(__digits) |
85 | 1162 |
&& __isByteArray(newDigitByteArray) |
250 | 1163 |
&& __bothSmallInteger(count, aSmallInteger)) { |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1164 |
unsigned int rest = 0; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1165 |
int index = __intVal(count); |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1166 |
int index0; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1167 |
int divisor = __intVal(aSmallInteger); |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1168 |
unsigned char *digitBytes = __ByteArrayInstPtr(__digits)->ba_element; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1169 |
unsigned char *resultBytes = __ByteArrayInstPtr(newDigitByteArray)->ba_element; |
68 | 1170 |
|
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1171 |
index0 = index; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1172 |
|
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1173 |
while (index > 1) { |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1174 |
unsigned int t; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1175 |
unsigned div; |
85 | 1176 |
|
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1177 |
index--; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1178 |
t = digitBytes[index]; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1179 |
index--; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1180 |
t = (t << 8) | digitBytes[index]; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1181 |
t = t | (rest << 16); |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1182 |
div = t / divisor; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1183 |
rest = t % divisor; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1184 |
resultBytes[index+1] = (div >> 8); |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1185 |
resultBytes[index] = (div & 0xFF); |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1186 |
} |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1187 |
|
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1188 |
while (index > 0) { |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1189 |
unsigned int t; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1190 |
|
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1191 |
index--; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1192 |
t = digitBytes[index]; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1193 |
t = t | (rest << 8); |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1194 |
resultBytes[index] = t / divisor; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1195 |
rest = t % divisor; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1196 |
} |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1197 |
prevRest = __MKSMALLINT(rest); |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1198 |
ok = true; |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1199 |
|
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1200 |
/* |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1201 |
* no need to normalize ? |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1202 |
*/ |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1203 |
if ((index0 > 4) |
1857
94f36a4923db
oops - returned unnormalized value from absFastDiv:
Claus Gittinger <cg@exept.de>
parents:
1842
diff
changeset
|
1204 |
&& (resultBytes[index0-1])) { |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1205 |
RETURN ( __ARRAY_WITH2(result, prevRest)); |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1206 |
} |
85 | 1207 |
} |
1208 |
%}. |
|
1209 |
" |
|
1210 |
slow code - not normally reached |
|
1211 |
(could also do a primitiveFailure here) |
|
1212 |
" |
|
92 | 1213 |
ok ifFalse:[ |
1842
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1214 |
prevRest := 0. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1215 |
count to:1 by:-1 do:[:i | |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1216 |
tmp1 := digitByteArray at:i. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1217 |
tmp1 := (tmp1 + (prevRest * 256)). |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1218 |
newDigitByteArray at:i put:tmp1 // aSmallInteger. |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1219 |
prevRest := (tmp1 \\ aSmallInteger). |
b28609c73839
added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents:
1797
diff
changeset
|
1220 |
] |
68 | 1221 |
]. |
1222 |
||
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1223 |
^ Array with:result compressed with:prevRest |
68 | 1224 |
! |
1225 |
||
701 | 1226 |
absFastMinus:aSmallInteger |
1227 |
"return a LargeInteger representing abs(self) - abs(theArgument). |
|
1228 |
The result is not normalized." |
|
1229 |
||
1794 | 1230 |
|result resultDigitByteArray lastDigit |
701 | 1231 |
len "{ Class: SmallInteger }" |
1232 |
index "{ Class: SmallInteger }" |
|
1233 |
borrow "{ Class: SmallInteger }" |
|
1234 |
diff "{ Class: SmallInteger }" | |
|
1235 |
||
1236 |
len := digitByteArray size. |
|
1237 |
||
1238 |
result := self class basicNew numberOfDigits:(len + 1). |
|
1239 |
resultDigitByteArray := result digits. |
|
1240 |
||
1241 |
index := 1. |
|
1242 |
borrow := aSmallInteger abs. |
|
1243 |
||
1244 |
[borrow ~~ 0] whileTrue:[ |
|
1794 | 1245 |
(index <= len) ifTrue:[ |
1246 |
diff := (digitByteArray basicAt:index) - (borrow bitAnd:16rFF). |
|
1247 |
borrow := borrow bitShift:-8. |
|
1248 |
diff < 0 ifTrue:[ |
|
1249 |
diff := diff + 256. |
|
1250 |
borrow := borrow + 1. |
|
1251 |
] |
|
1252 |
] ifFalse:[ |
|
1253 |
diff := borrow bitAnd:255. |
|
1254 |
borrow := borrow bitShift:-8. |
|
1255 |
]. |
|
1256 |
resultDigitByteArray basicAt:index put:(lastDigit := diff). |
|
1257 |
index := index + 1 |
|
701 | 1258 |
]. |
1259 |
[index <= len] whileTrue:[ |
|
1794 | 1260 |
resultDigitByteArray basicAt:index put:(lastDigit := digitByteArray basicAt:index). |
1261 |
index := index + 1 |
|
701 | 1262 |
]. |
1263 |
||
1794 | 1264 |
lastDigit == 0 ifTrue:[ |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1265 |
^ result compressed |
1794 | 1266 |
]. |
701 | 1267 |
^ result |
1268 |
||
1269 |
" |
|
1270 |
12345678900000000000 absFastMinus:1 |
|
1271 |
12345678900000000000 absFastMinus:1000000 |
|
1272 |
12345678900000000000 absFastMinus:255 |
|
1273 |
(SmallInteger maxVal + 1) absFastMinus:1 |
|
1274 |
(SmallInteger minVal - 1) absFastMinus:1 |
|
1275 |
" |
|
1794 | 1276 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1277 |
"Modified: 5.11.1996 / 14:09:16 / cg" |
701 | 1278 |
! |
1279 |
||
1280 |
absFastPlus:aSmallInteger |
|
1281 |
"return a LargeInteger representing abs(self) + abs(theArgument). |
|
1282 |
The result is not normalized." |
|
1283 |
||
1794 | 1284 |
|result resultDigitByteArray lastDigit |
701 | 1285 |
len "{ Class: SmallInteger }" |
1286 |
index "{ Class: SmallInteger }" |
|
1287 |
carry "{ Class: SmallInteger }" | |
|
1288 |
||
1289 |
len := digitByteArray size. |
|
1290 |
||
1291 |
result := self class basicNew numberOfDigits:(len + 1). |
|
1292 |
resultDigitByteArray := result digits. |
|
1293 |
||
1294 |
index := 1. |
|
1295 |
carry := aSmallInteger abs. |
|
1296 |
||
1297 |
[carry ~~ 0] whileTrue:[ |
|
1794 | 1298 |
(index <= len) ifTrue:[ |
1299 |
carry := (digitByteArray basicAt:index) + carry. |
|
1300 |
]. |
|
1301 |
resultDigitByteArray basicAt:index put:(lastDigit := carry bitAnd:16rFF). |
|
1302 |
carry := carry bitShift:-8. |
|
1303 |
index := index + 1 |
|
701 | 1304 |
]. |
1305 |
[index <= len] whileTrue:[ |
|
1794 | 1306 |
resultDigitByteArray basicAt:index put:(lastDigit := digitByteArray basicAt:index). |
1307 |
index := index + 1 |
|
701 | 1308 |
]. |
1309 |
||
1794 | 1310 |
lastDigit == 0 ifTrue:[ |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1311 |
^ result compressed |
1794 | 1312 |
]. |
701 | 1313 |
^ result |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1314 |
|
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1315 |
"Modified: 5.11.1996 / 14:09:19 / cg" |
701 | 1316 |
! |
1317 |
||
1318 |
absLess:aLargeInteger |
|
1319 |
"return true, if abs(self) < abs(theArgument)" |
|
1320 |
||
1321 |
|len1 "{ Class: SmallInteger }" |
|
1322 |
len2 "{ Class: SmallInteger }" |
|
1323 |
d1 "{ Class: SmallInteger }" |
|
1324 |
d2 "{ Class: SmallInteger }" |
|
1325 |
otherDigitByteArray | |
|
1326 |
||
1327 |
len1 := digitByteArray size. |
|
1328 |
otherDigitByteArray := aLargeInteger digits. |
|
1329 |
len2 := otherDigitByteArray size. |
|
1330 |
||
1331 |
[(digitByteArray basicAt:len1) == 0] whileTrue:[ |
|
1332 |
len1 := len1 - 1 |
|
1333 |
]. |
|
1334 |
[(otherDigitByteArray basicAt:len2) == 0] whileTrue:[ |
|
1335 |
len2 := len2 - 1 |
|
1336 |
]. |
|
1337 |
(len1 < len2) ifTrue:[^ true]. |
|
1338 |
(len1 > len2) ifTrue:[^ false]. |
|
1339 |
||
1340 |
[len1 > 0] whileTrue:[ |
|
1341 |
d1 := digitByteArray basicAt:len1. |
|
1342 |
d2 := otherDigitByteArray basicAt:len1. |
|
1343 |
(d1 < d2) ifTrue:[^ true]. |
|
1344 |
(d1 > d2) ifTrue:[^ false]. |
|
1345 |
len1 := len1 - 1 |
|
1346 |
]. |
|
1347 |
^ false |
|
1348 |
! |
|
1349 |
||
1350 |
absMinus:aLargeInteger |
|
1351 |
"return a LargeInteger representing abs(self) - abs(theArgument)" |
|
1352 |
||
1353 |
|result done |
|
1354 |
otherDigitByteArray resultDigitByteArray |
|
1355 |
len1 "{ Class: SmallInteger }" |
|
1356 |
len2 "{ Class: SmallInteger }" |
|
1357 |
index "{ Class: SmallInteger }" |
|
1358 |
borrow "{ Class: SmallInteger }" |
|
1359 |
diff "{ Class: SmallInteger }" |
|
1408
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1360 |
carry "{ Class: SmallInteger }" |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1361 |
lResult| |
701 | 1362 |
|
1363 |
len1 := digitByteArray size. |
|
1364 |
otherDigitByteArray := aLargeInteger digits. |
|
1365 |
len2 := otherDigitByteArray size. |
|
1366 |
||
1408
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1367 |
lResult := (len1 max: len2) + 1. |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1368 |
result := self class basicNew numberOfDigits:lResult. |
701 | 1369 |
resultDigitByteArray := result digits. |
1370 |
||
1371 |
index := 1. |
|
1372 |
borrow := 0. |
|
1373 |
||
1374 |
done := false. |
|
1375 |
[done] whileFalse:[ |
|
1408
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1376 |
diff := borrow. |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1377 |
(index <= len1) ifTrue:[ |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1378 |
diff := diff + (digitByteArray basicAt:index). |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1379 |
(index <= len2) ifTrue:[ |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1380 |
diff := diff - (otherDigitByteArray basicAt:index) |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1381 |
] |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1382 |
] ifFalse:[ |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1383 |
(index <= len2) ifTrue:[ |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1384 |
diff := diff - (otherDigitByteArray basicAt:index) |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1385 |
] ifFalse:[ |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1386 |
"end reached" |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1387 |
done := true |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1388 |
] |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1389 |
]. |
701 | 1390 |
|
1408
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1391 |
"/ workaround for |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1392 |
"/ gcc code generator bug |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1393 |
|
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1394 |
(diff >= 0) ifTrue:[ |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1395 |
borrow := 0 |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1396 |
] ifFalse:[ |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1397 |
borrow := -1. |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1398 |
diff := diff + 16r100 |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1399 |
]. |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1400 |
|
701 | 1401 |
"/ (diff < 0) ifTrue:[ |
1402 |
"/ borrow := -1. |
|
1403 |
"/ diff := diff + 16r100 |
|
1404 |
"/ ] ifFalse:[ |
|
1405 |
"/ borrow := 0 |
|
1406 |
"/ ]. |
|
1408
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1407 |
|
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1408 |
resultDigitByteArray basicAt:index put:diff. |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1409 |
index := index + 1 |
701 | 1410 |
]. |
1408
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1411 |
|
701 | 1412 |
(borrow ~~ 0) ifTrue:[ |
1504
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1413 |
"/ must generate 255's complement |
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1414 |
|
1408
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1415 |
result sign:-1. |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1416 |
[index <= lResult] whileTrue:[ |
1504
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1417 |
resultDigitByteArray basicAt:index put:16rFF. |
1408
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1418 |
index := index + 1. |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1419 |
]. |
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1420 |
index := resultDigitByteArray size. |
1504
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1421 |
[index > 0] whileTrue:[ |
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1422 |
resultDigitByteArray basicAt:index put:(255 - (resultDigitByteArray at:index)). |
1408
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1423 |
index := index -1. |
1504
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1424 |
]. |
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1425 |
|
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1426 |
index := 1. |
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1427 |
carry := 1. |
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1428 |
[carry ~~ 0] whileTrue:[ |
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1429 |
(index <= lResult) ifTrue:[ |
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1430 |
carry := (resultDigitByteArray basicAt:index) + carry. |
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1431 |
]. |
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1432 |
resultDigitByteArray basicAt:index put:(carry bitAnd:16rFF). |
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1433 |
carry := carry bitShift:-8. |
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1434 |
index := index + 1 |
9e5ae33dbfe1
oops - bug when subtracting with borrow:
Claus Gittinger <cg@exept.de>
parents:
1408
diff
changeset
|
1435 |
]. |
701 | 1436 |
]. |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1437 |
^ result compressed |
1408
e9db184b34ee
oops - large-minus was wrong when sign changes
Claus Gittinger <cg@exept.de>
parents:
1295
diff
changeset
|
1438 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1439 |
"Modified: 5.11.1996 / 14:09:25 / cg" |
701 | 1440 |
! |
1441 |
||
68 | 1442 |
absMul:aLargeInteger |
1443 |
"return a LargeInteger representing abs(self) * abs(theArgument)" |
|
1444 |
||
92 | 1445 |
|result otherDigitByteArray resultDigitByteArray ok |
68 | 1446 |
idx "{ Class: SmallInteger }" |
1447 |
carry "{ Class: SmallInteger }" |
|
1448 |
len1 "{ Class: SmallInteger }" |
|
1449 |
len2 "{ Class: SmallInteger }" |
|
1450 |
dstIndex "{ Class: SmallInteger }" |
|
77 | 1451 |
prod "{ Class: SmallInteger }" |
1452 |
v "{ Class: SmallInteger }"| |
|
68 | 1453 |
|
1454 |
len1 := digitByteArray size. |
|
1455 |
otherDigitByteArray := aLargeInteger digits. |
|
1456 |
len2 := otherDigitByteArray size. |
|
1457 |
||
1458 |
result := LargeInteger basicNew numberOfDigits:(len1 + len2 + 1). |
|
1459 |
resultDigitByteArray := result digits. |
|
92 | 1460 |
ok := false. |
1461 |
%{ |
|
1133 | 1462 |
if (__isByteArray(__INST(digitByteArray)) |
92 | 1463 |
&& __isByteArray(otherDigitByteArray) |
1464 |
&& __isByteArray(resultDigitByteArray) |
|
250 | 1465 |
&& __bothSmallInteger(len1, len2)) { |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1466 |
unsigned char *myBytes = __ByteArrayInstPtr(__INST(digitByteArray))->ba_element; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1467 |
unsigned char *otherBytes = __ByteArrayInstPtr(otherDigitByteArray)->ba_element; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1468 |
unsigned char *resultBytes = __ByteArrayInstPtr(resultDigitByteArray)->ba_element; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1469 |
int _index1, _index2, _dstIndex, _idx; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1470 |
unsigned _prod, _carry, _v; |
68 | 1471 |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1472 |
for (_index1 = 0; _index1 < __intVal(len1); _index1++) { |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1473 |
for (_index2 = 0; _index2 < __intVal(len2); _index2++) { |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1474 |
_dstIndex = _index1 + _index2; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1475 |
_prod = myBytes[_index1] * otherBytes[_index2]; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1476 |
_prod += resultBytes[_dstIndex]; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1477 |
resultBytes[_dstIndex] = _prod & 0xFF; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1478 |
_carry = _prod >> 8; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1479 |
if (_carry) { |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1480 |
_idx = _dstIndex + 1; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1481 |
while (_carry) { |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1482 |
_v = resultBytes[_idx] + _carry; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1483 |
resultBytes[_idx] = _v & 0xFF; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1484 |
_carry = _v >> 8; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1485 |
_idx = _idx + 1; |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1486 |
} |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1487 |
} |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1488 |
} |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1489 |
} |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1490 |
ok = true; |
92 | 1491 |
} |
1492 |
%}. |
|
1493 |
ok ifFalse:[ |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1494 |
1 to:len1 do:[:index1 | |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1495 |
1 to:len2 do:[:index2 | |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1496 |
dstIndex := index1 + index2 - 1. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1497 |
prod := (digitByteArray basicAt:index1) * (otherDigitByteArray basicAt:index2). |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1498 |
prod := prod + (resultDigitByteArray basicAt:dstIndex). |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1499 |
resultDigitByteArray basicAt:dstIndex put:(prod bitAnd:16rFF). |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1500 |
carry := prod bitShift:-8. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1501 |
carry ~~ 0 ifTrue:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1502 |
idx := dstIndex + 1. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1503 |
[carry ~~ 0] whileTrue:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1504 |
v := (resultDigitByteArray basicAt:idx) + carry. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1505 |
resultDigitByteArray basicAt:idx put:(v bitAnd:255). |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1506 |
carry := v bitShift:-8. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1507 |
idx := idx + 1 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1508 |
] |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1509 |
] |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1510 |
] |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1511 |
]. |
68 | 1512 |
]. |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1513 |
^ result compressed |
68 | 1514 |
! |
1515 |
||
1516 |
absPlus:aLargeInteger |
|
1517 |
"return a LargeInteger representing abs(self) + abs(theArgument)" |
|
1518 |
||
1519 |
|result done otherDigitByteArray resultDigitByteArray |
|
1520 |
len1 "{ Class: SmallInteger }" |
|
1521 |
len2 "{ Class: SmallInteger }" |
|
1522 |
index "{ Class: SmallInteger }" |
|
1523 |
carry "{ Class: SmallInteger }" |
|
1524 |
sum "{ Class: SmallInteger }" | |
|
1525 |
||
1526 |
len1 := digitByteArray size. |
|
1527 |
otherDigitByteArray := aLargeInteger digits. |
|
1528 |
len2 := otherDigitByteArray size. |
|
1529 |
||
92 | 1530 |
result := self class basicNew numberOfDigits:((len1 max: len2) + 1). |
68 | 1531 |
resultDigitByteArray := result digits. |
1532 |
||
1533 |
index := 1. |
|
1534 |
carry := 0. |
|
1535 |
||
1536 |
done := false. |
|
1537 |
[done] whileFalse:[ |
|
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1538 |
sum := carry. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1539 |
(index <= len1) ifTrue:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1540 |
sum := sum + (digitByteArray basicAt:index). |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1541 |
(index <= len2) ifTrue:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1542 |
sum := sum + (otherDigitByteArray basicAt:index) |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1543 |
] |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1544 |
] ifFalse:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1545 |
(index <= len2) ifTrue:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1546 |
sum := sum + (otherDigitByteArray basicAt:index) |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1547 |
] ifFalse:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1548 |
"end reached" |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1549 |
done := true |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1550 |
] |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1551 |
]. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1552 |
(sum >= 16r100) ifTrue:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1553 |
carry := 1. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1554 |
sum := sum - 16r100 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1555 |
] ifFalse:[ |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1556 |
carry := 0 |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1557 |
]. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1558 |
resultDigitByteArray basicAt:index put:sum. |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1559 |
index := index + 1 |
68 | 1560 |
]. |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1561 |
^ result compressed |
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1562 |
|
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1563 |
"Modified: 5.11.1996 / 14:09:34 / cg" |
68 | 1564 |
! |
1565 |
||
1566 |
div256 |
|
1567 |
"destructively divide the receiver by 256. |
|
1568 |
private - used for division only" |
|
1569 |
||
1570 |
digitByteArray replaceFrom:1 with:digitByteArray startingAt:2. |
|
77 | 1571 |
digitByteArray at:(digitByteArray size) put:0 |
68 | 1572 |
! |
1573 |
||
1574 |
mul256 |
|
1575 |
"destructively multiply the receiver by 256. |
|
1576 |
private - used for division only" |
|
1577 |
||
1578 |
|newDigits| |
|
1579 |
||
359 | 1580 |
newDigits := ByteArray uninitializedNew:(digitByteArray size + 1). |
68 | 1581 |
newDigits replaceFrom:2 with:digitByteArray startingAt:1. |
1582 |
newDigits at:1 put:0. |
|
1583 |
digitByteArray := newDigits |
|
701 | 1584 |
! |
68 | 1585 |
|
701 | 1586 |
numberOfDigits:nDigits |
1587 |
digitByteArray := ByteArray new:nDigits. |
|
1588 |
sign := 1. |
|
68 | 1589 |
! |
1590 |
||
701 | 1591 |
setDigits:digits |
1592 |
digitByteArray := digits. |
|
1593 |
sign := 1. |
|
68 | 1594 |
! |
1595 |
||
701 | 1596 |
sign:aNumber |
1597 |
sign := aNumber |
|
1 | 1598 |
! ! |
1599 |
||
1600 |
!LargeInteger methodsFor:'testing'! |
|
1601 |
||
701 | 1602 |
even |
1603 |
"return true if the receiver is even" |
|
1 | 1604 |
|
701 | 1605 |
^ (digitByteArray at:1) even |
1 | 1606 |
! |
1607 |
||
68 | 1608 |
negative |
1609 |
"return true, if the receiver is < 0" |
|
1610 |
||
1611 |
^ (sign < 0) |
|
1612 |
! |
|
1613 |
||
1 | 1614 |
odd |
1615 |
"return true if the receiver is odd" |
|
1616 |
||
68 | 1617 |
^ (digitByteArray at:1) even |
1 | 1618 |
! |
1619 |
||
1620 |
positive |
|
1621 |
"return true, if the receiver is >= 0" |
|
1622 |
||
1623 |
^ (sign >= 0) |
|
1624 |
! |
|
1625 |
||
701 | 1626 |
sign |
1627 |
"return the sign of the receiver" |
|
1628 |
||
1629 |
^ sign |
|
1630 |
! |
|
1631 |
||
1 | 1632 |
strictlyPositive |
1633 |
"return true, if the receiver is > 0" |
|
1634 |
||
1635 |
^ (sign > 0) |
|
1636 |
! ! |
|
1637 |
||
1794 | 1638 |
!LargeInteger class methodsFor:'documentation'! |
1 | 1639 |
|
701 | 1640 |
version |
1883
d3fbf4b36be7
renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents:
1857
diff
changeset
|
1641 |
^ '$Header: /cvs/stx/stx/libbasic/LargeInteger.st,v 1.36 1996-11-05 13:31:25 cg Exp $' |
1 | 1642 |
! ! |