1
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"
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COPYRIGHT (c) 1988 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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Integer subclass:#LargeInteger
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instanceVariableNames:'sign digitArray'
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classVariableNames:''
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poolDictionaries:''
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category:'Magnitude-Numbers'
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!
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LargeInteger comment:'
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COPYRIGHT (c) 1988 by Claus Gittinger
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All Rights Reserved
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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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an Array of digits with 4 digits per element;
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least significant 4 digits at index 1 ...
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This is definitely not a good (fast) implementation -
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but ok for now, since LargeIntegers are not used very often.
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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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54
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$Header: /cvs/stx/stx/libbasic/Attic/LargeInt.st,v 1.7 1994-02-25 12:58:55 claus Exp $
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'!
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!LargeInteger class methodsFor:'instance creation'!
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new:numberOfDigits
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"catch creation message"
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self error:'LargeIntegers cannot be created with new'
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!
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new
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"catch creation message"
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self error:'LargeIntegers cannot be created with new'
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!
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value:aSmallInteger
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"create and return a new LargeInteger with value taken from
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the argument, aSmallInteger"
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^ self basicNew value:aSmallInteger
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"LargeInteger value:3689"
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!
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valueLow:lowBits hi:hiBits
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"create and return a new LargeInteger with value taken from
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2
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the two 16-bit signed args. This method is called from the runtime
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system, when an integer result has to be converted to a Large."
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1
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hiBits < 0 ifTrue:[
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^ ((self value:hiBits negated) * 16r10000 + lowBits) negated
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].
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^ (self value:hiBits) * 16r10000 + lowBits
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2
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!
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unsignedValueLow:lowBits hi:hiBits
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"create and return a new LargeInteger with value taken from
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the two 16-bit unsigned args. This method is called from the runtime
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system, when an integer result has to be converted to a Large."
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^ (self value:hiBits) * 16r10000 + lowBits
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1
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! !
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!LargeInteger methodsFor:'coercing & converting'!
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coerce:aNumber
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"return the argument as a LargeInteger"
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^ aNumber asLargeInteger
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!
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asLargeInteger
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"return a LargeInteger with same value as myself - thats me"
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^ self
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!
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asSmallInteger
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"return a SmallInteger with same value as myself - the result
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is invalid if the receivers value cannot be represented
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as a SmallInteger"
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|value|
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value := 0.
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(sign == 0) ifFalse:[
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digitArray reverseDo:[:aDigit |
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value := (value times:10000) + aDigit
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].
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(sign < 0) ifTrue:[
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value := value negated
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]
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].
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^ value
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!
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asFloat
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"return a Float with same value as myself"
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|newFloat|
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newFloat := 0.0.
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(sign == 0) ifFalse:[
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digitArray reverseDo:[:aDigit |
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newFloat := (newFloat * 10000.0) + aDigit asFloat
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].
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(sign < 0) ifTrue:[
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newFloat := newFloat negated
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]
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].
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^ newFloat
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!
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value:aSmallInteger
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"return a new LargeInteger with value taken from a SmallInteger"
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|absValue
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index "{ Class: SmallInteger }"|
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(aSmallInteger == 0) ifTrue: [
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digitArray := nil.
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sign := 0.
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^ self
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].
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(aSmallInteger < 0) ifTrue: [
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sign := -1.
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absValue := aSmallInteger negated
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] ifFalse: [
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sign := 1.
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absValue := aSmallInteger
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].
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digitArray := Array new:3.
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index := 1.
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[absValue == 0] whileFalse: [
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digitArray at:index put:(absValue \\ 10000).
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absValue := absValue // 10000.
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index := index + 1
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].
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[index <= 3] whileTrue:[
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digitArray at:index put:0.
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index := index + 1
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]
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! !
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!LargeInteger methodsFor:'comparing'!
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= aNumber
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"return true, if the argument, aNumber has the same value as
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the receiver"
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(aNumber class == LargeInteger) ifFalse:[
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aNumber respondsToArithmetic ifFalse:[ ^ false ].
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^ self retry:#= coercing:aNumber
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].
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(aNumber sign == sign) ifFalse:[^ false].
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^ self absEq:aNumber
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!
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< aNumber
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"return true, if the argument, aNumber is greater than the receiver"
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|otherSign|
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(aNumber class == LargeInteger) 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"
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(otherSign > 0) ifTrue:[^ self absLess:aNumber].
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^ false "aNumber is <= 0"
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].
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(sign == 0) ifTrue:[
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(otherSign > 0) ifTrue:[^ true].
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^ false
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].
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"I am negative"
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(otherSign > 0) ifTrue:[^ true].
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(otherSign == 0) ifTrue:[^ true].
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^ (self absLess:aNumber) not
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! !
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!LargeInteger methodsFor:'arithmetic'!
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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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(aNumber class == LargeInteger) 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"
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(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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(sign == 0) ifTrue:[^ aNumber].
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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) negated].
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^ self
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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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|otherSign|
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(aNumber class == LargeInteger) 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"
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(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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(sign == 0) ifTrue:[^ aNumber negated].
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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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* aNumber
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"return the product of the receiver and the argument, aNumber"
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|otherSign|
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(aNumber = 10) ifTrue:[
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^ self simpleDeepCopy mul10
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1
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].
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(aNumber class == LargeInteger) 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:[^ 0].
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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) negated
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!
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/ aNumber
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"return the quotient of the receivers and the argument, aNumber"
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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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].
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1
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"this is a q&d hack - we loose lots of precision here ..."
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^ (self asFloat / aNumber asFloat)
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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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44
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|otherSign|
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1
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282 |
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otherSign := aNumber sign.
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(aNumber class == SmallInteger) ifTrue:[
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sign < 0 ifTrue:[
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(sign == otherSign) ifTrue:[^ (self negated absFastDiv:aNumber negated) at:1].
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^ ((self negated absFastDiv:aNumber) at:1) negated
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].
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(sign == otherSign) ifTrue:[^ (self absFastDiv:aNumber) at:1].
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^ ((self absFastDiv:aNumber negated) at:1) negated
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1
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].
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54
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(aNumber class == LargeInteger) ifTrue:[
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sign < 0 ifTrue:[
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(sign == otherSign) ifTrue:[^ (self negated absDiv:aNumber negated) at:1].
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^ ((self negated absDiv:aNumber) at:1) negated
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].
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(sign == otherSign) ifTrue:[^ (self absDiv:aNumber) at:1].
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^ ((self absDiv:aNumber negated) at:1) negated
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].
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302 |
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^ self retry:#// coercing:aNumber
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1
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!
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\\ aNumber
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"return the remainder of division of the receiver by the argument, aNumber"
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|otherSign|
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otherSign := aNumber sign.
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(aNumber class == SmallInteger) ifTrue:[
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sign < 0 ifTrue:[
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(sign == otherSign) ifTrue:[^ (self negated absFastDiv:aNumber negated) at:2].
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^ ((self negated absFastDiv:aNumber) at:2) negated
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].
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(sign == otherSign) ifTrue:[^ (self absFastDiv:aNumber) at:2].
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^ ((self absFastDiv:aNumber negated) at:2) negated
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319 |
].
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(aNumber class == LargeInteger) ifTrue:[
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sign < 0 ifTrue:[
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(sign == otherSign) ifTrue:[^ (self negated absDiv:aNumber negated) at:2].
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^ ((self negated absDiv:aNumber) at:2) negated
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].
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(sign == otherSign) ifTrue:[^ (self absDiv:aNumber) at:2].
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^ ((self absDiv:aNumber negated) at:2) negated
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1
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].
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328 |
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^ self retry:#\\ coercing:aNumber
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1
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!
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negated
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"return a LargeInteger with value negated from receivers value"
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334 |
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|newNumber|
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336 |
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337 |
(sign == 0) ifTrue:[^ 0].
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newNumber := self shallowCopy.
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newNumber sign:(sign negated).
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^ newNumber
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! !
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342 |
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343 |
!LargeInteger methodsFor:'bit operations'!
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bitAnd:anInteger
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"q & d hack to make Random work;
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347 |
this works only correctly, if my value can be represented
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348 |
as a SmallInteger"
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349 |
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350 |
^ self asSmallInteger bitAnd:anInteger
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! !
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352 |
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!LargeInteger methodsFor:'testing'!
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354 |
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sign
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"return the sign of the receiver"
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357 |
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358 |
^ sign
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359 |
!
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360 |
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361 |
odd
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362 |
"return true if the receiver is odd"
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363 |
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364 |
^ (digitArray at:1) even
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365 |
!
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366 |
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367 |
even
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368 |
"return true if the receiver is even"
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369 |
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370 |
^ (digitArray at:1) even
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371 |
!
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372 |
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373 |
negative
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|
374 |
"return true, if the receiver is < 0"
|
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375 |
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|
376 |
^ (sign < 0)
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377 |
!
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378 |
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379 |
positive
|
|
380 |
"return true, if the receiver is >= 0"
|
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381 |
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|
382 |
^ (sign >= 0)
|
|
383 |
!
|
|
384 |
|
|
385 |
strictlyPositive
|
|
386 |
"return true, if the receiver is > 0"
|
|
387 |
|
|
388 |
^ (sign > 0)
|
|
389 |
! !
|
|
390 |
|
|
391 |
!LargeInteger methodsFor:'private'!
|
|
392 |
|
|
393 |
absEq:aLargeInteger
|
|
394 |
"return true, if abs(self) = abs(theArgument)"
|
|
395 |
|
|
396 |
|len1 "{ Class: SmallInteger }"
|
|
397 |
len2 "{ Class: SmallInteger }"
|
|
398 |
d1 "{ Class: SmallInteger }"
|
|
399 |
d2 "{ Class: SmallInteger }"
|
54
|
400 |
otherDigitArray |
|
1
|
401 |
|
|
402 |
len1 := digitArray size.
|
54
|
403 |
otherDigitArray := aLargeInteger digits.
|
|
404 |
len2 := otherDigitArray size.
|
1
|
405 |
|
|
406 |
[(digitArray basicAt:len1) == 0] whileTrue:[
|
|
407 |
len1 := len1 - 1
|
|
408 |
].
|
54
|
409 |
[(otherDigitArray basicAt:len2) == 0] whileTrue:[
|
1
|
410 |
len2 := len2 - 1
|
|
411 |
].
|
|
412 |
(len1 ~~ len2) ifTrue:[^ false].
|
|
413 |
[len1 > 0] whileTrue:[
|
|
414 |
d1 := digitArray basicAt:len1.
|
54
|
415 |
d2 := otherDigitArray basicAt:len1.
|
1
|
416 |
(d1 ~~ d2) ifTrue:[^ false].
|
|
417 |
len1 := len1 - 1
|
|
418 |
].
|
|
419 |
^ true
|
|
420 |
!
|
|
421 |
|
|
422 |
absLess:aLargeInteger
|
|
423 |
"return true, if abs(self) < abs(theArgument)"
|
|
424 |
|
|
425 |
|len1 "{ Class: SmallInteger }"
|
|
426 |
len2 "{ Class: SmallInteger }"
|
|
427 |
d1 "{ Class: SmallInteger }"
|
|
428 |
d2 "{ Class: SmallInteger }"
|
54
|
429 |
otherDigitArray |
|
1
|
430 |
|
|
431 |
len1 := digitArray size.
|
54
|
432 |
otherDigitArray := aLargeInteger digits.
|
|
433 |
len2 := otherDigitArray size.
|
1
|
434 |
|
|
435 |
[(digitArray basicAt:len1) == 0] whileTrue:[
|
|
436 |
len1 := len1 - 1
|
|
437 |
].
|
54
|
438 |
[(otherDigitArray basicAt:len2) == 0] whileTrue:[
|
1
|
439 |
len2 := len2 - 1
|
|
440 |
].
|
|
441 |
(len1 < len2) ifTrue:[^ true].
|
|
442 |
(len1 > len2) ifTrue:[^ false].
|
|
443 |
|
|
444 |
[len1 > 0] whileTrue:[
|
|
445 |
d1 := digitArray basicAt:len1.
|
54
|
446 |
d2 := otherDigitArray basicAt:len1.
|
1
|
447 |
(d1 < d2) ifTrue:[^ true].
|
|
448 |
(d1 > d2) ifTrue:[^ false].
|
|
449 |
len1 := len1 - 1
|
|
450 |
].
|
|
451 |
^ false
|
|
452 |
!
|
|
453 |
|
|
454 |
absPlus:aLargeInteger
|
|
455 |
"return a LargeInteger representing abs(self) + abs(theArgument)"
|
|
456 |
|
54
|
457 |
|result done otherDigitArray resultDigitArray
|
1
|
458 |
len1 "{ Class: SmallInteger }"
|
|
459 |
len2 "{ Class: SmallInteger }"
|
|
460 |
index "{ Class: SmallInteger }"
|
|
461 |
carry "{ Class: SmallInteger }"
|
|
462 |
sum "{ Class: SmallInteger }" |
|
|
463 |
|
|
464 |
len1 := digitArray size.
|
54
|
465 |
otherDigitArray := aLargeInteger digits.
|
|
466 |
len2 := otherDigitArray size.
|
1
|
467 |
|
|
468 |
result := LargeInteger basicNew
|
|
469 |
numberOfDigits:((len1 max: len2) + 1).
|
|
470 |
result sign:1.
|
54
|
471 |
resultDigitArray := result digits.
|
1
|
472 |
|
|
473 |
index := 1.
|
|
474 |
carry := 0.
|
|
475 |
|
|
476 |
done := false.
|
|
477 |
[done] whileFalse:[
|
|
478 |
sum := carry.
|
|
479 |
(index <= len1) ifTrue:[
|
|
480 |
sum := sum + (digitArray basicAt:index).
|
|
481 |
(index <= len2) ifTrue:[
|
54
|
482 |
sum := sum + (otherDigitArray basicAt:index)
|
1
|
483 |
]
|
|
484 |
] ifFalse:[
|
|
485 |
(index <= len2) ifTrue:[
|
54
|
486 |
sum := sum + (otherDigitArray basicAt:index)
|
1
|
487 |
] ifFalse:[
|
|
488 |
"end reached"
|
|
489 |
done := true
|
|
490 |
]
|
|
491 |
].
|
|
492 |
(sum > 9999) ifTrue:[
|
|
493 |
carry := 1.
|
|
494 |
sum := sum - 10000
|
|
495 |
] ifFalse:[
|
|
496 |
carry := 0
|
|
497 |
].
|
54
|
498 |
resultDigitArray basicAt:index put:sum.
|
1
|
499 |
index := index + 1
|
|
500 |
].
|
|
501 |
^ result normalize
|
|
502 |
!
|
|
503 |
|
|
504 |
absMinus:aLargeInteger
|
|
505 |
"return a LargeInteger representing abs(self) - abs(theArgument)"
|
|
506 |
|
|
507 |
|result done
|
54
|
508 |
otherDigitArray resultDigitArray
|
1
|
509 |
len1 "{ Class: SmallInteger }"
|
|
510 |
len2 "{ Class: SmallInteger }"
|
|
511 |
index "{ Class: SmallInteger }"
|
|
512 |
borrow "{ Class: SmallInteger }"
|
|
513 |
diff "{ Class: SmallInteger }"
|
|
514 |
sum "{ Class: SmallInteger }"
|
|
515 |
carry "{ Class: SmallInteger }" |
|
|
516 |
|
|
517 |
len1 := digitArray size.
|
54
|
518 |
otherDigitArray := aLargeInteger digits.
|
|
519 |
len2 := otherDigitArray size.
|
1
|
520 |
|
|
521 |
result := LargeInteger basicNew
|
|
522 |
numberOfDigits:((len1 max: len2) + 1).
|
|
523 |
result sign:1.
|
54
|
524 |
resultDigitArray := result digits.
|
1
|
525 |
|
|
526 |
index := 1.
|
|
527 |
borrow := 0.
|
|
528 |
|
|
529 |
done := false.
|
|
530 |
[done] whileFalse:[
|
|
531 |
diff := borrow.
|
|
532 |
(index <= len1) ifTrue:[
|
|
533 |
diff := diff + (digitArray basicAt:index).
|
|
534 |
(index <= len2) ifTrue:[
|
54
|
535 |
diff := diff - (otherDigitArray basicAt:index)
|
1
|
536 |
]
|
|
537 |
] ifFalse:[
|
|
538 |
(index <= len2) ifTrue:[
|
54
|
539 |
diff := diff - (otherDigitArray basicAt:index)
|
1
|
540 |
] ifFalse:[
|
|
541 |
"end reached"
|
|
542 |
done := true
|
|
543 |
]
|
|
544 |
].
|
|
545 |
(diff < 0) ifTrue:[
|
|
546 |
borrow := -1.
|
|
547 |
diff := diff + 10000
|
|
548 |
] ifFalse:[
|
|
549 |
borrow := 0
|
|
550 |
].
|
54
|
551 |
resultDigitArray basicAt:index put:diff.
|
1
|
552 |
index := index + 1
|
|
553 |
].
|
|
554 |
(borrow ~~ 0) ifTrue:[
|
|
555 |
result sign: -1.
|
|
556 |
carry := 0.
|
|
557 |
1 to:(index - 1) do:[:i |
|
54
|
558 |
sum := ((resultDigitArray at:i) + carry - 10000) negated.
|
|
559 |
resultDigitArray at:i put:sum.
|
1
|
560 |
carry := 1
|
|
561 |
]
|
|
562 |
].
|
|
563 |
^ result normalize
|
|
564 |
!
|
|
565 |
|
|
566 |
absMul:aLargeInteger
|
|
567 |
"return a LargeInteger representing abs(self) * abs(theArgument)"
|
|
568 |
|
54
|
569 |
|result otherDigitArray resultDigitArray
|
1
|
570 |
len1 "{ Class: SmallInteger }"
|
|
571 |
len2 "{ Class: SmallInteger }"
|
|
572 |
dstIndex "{ Class: SmallInteger }"
|
|
573 |
carry "{ Class: SmallInteger }"
|
|
574 |
prod "{ Class: SmallInteger }" |
|
|
575 |
|
|
576 |
len1 := digitArray size.
|
54
|
577 |
otherDigitArray := aLargeInteger digits.
|
|
578 |
len2 := otherDigitArray size.
|
1
|
579 |
|
|
580 |
result := LargeInteger basicNew numberOfDigits:(len1 + len2 + 1).
|
|
581 |
result sign:1.
|
54
|
582 |
resultDigitArray := result digits.
|
1
|
583 |
|
|
584 |
"clear result"
|
54
|
585 |
resultDigitArray atAllPut:0.
|
1
|
586 |
|
|
587 |
1 to:len1 do:[:index1 |
|
|
588 |
1 to:len2 do:[:index2 |
|
|
589 |
dstIndex := index1 + index2 - 1.
|
54
|
590 |
prod := (digitArray basicAt:index1) * (otherDigitArray basicAt:index2).
|
|
591 |
prod := prod + (resultDigitArray basicAt:dstIndex).
|
|
592 |
resultDigitArray basicAt:dstIndex put:(prod \\ 10000).
|
1
|
593 |
carry := prod // 10000.
|
|
594 |
(carry ~~ 0) ifTrue:[
|
54
|
595 |
resultDigitArray basicAt:(dstIndex + 1)
|
|
596 |
put:(resultDigitArray basicAt:(dstIndex + 1)) + carry
|
1
|
597 |
]
|
|
598 |
]
|
|
599 |
].
|
|
600 |
^ result normalize
|
|
601 |
!
|
|
602 |
|
54
|
603 |
absFastDiv:aSmallInteger
|
|
604 |
"return an array with two LargeIntegers representing
|
|
605 |
abs(self) // aSmallInteger and abs(self) \\ aSmallInteger"
|
|
606 |
|
|
607 |
|tmp1 prevRest
|
|
608 |
count "{ Class: SmallInteger }"
|
|
609 |
newDigitArray result|
|
|
610 |
|
|
611 |
self == 0 ifTrue:[^ 0].
|
|
612 |
aSmallInteger == 0 ifTrue:[^ self divideByZeroError].
|
|
613 |
|
|
614 |
self < aSmallInteger ifTrue:[
|
|
615 |
^ Array with:0 with:self
|
|
616 |
].
|
|
617 |
|
|
618 |
prevRest := 0.
|
|
619 |
count := digitArray size.
|
|
620 |
|
|
621 |
result := LargeInteger basicNew numberOfDigits:count.
|
|
622 |
result sign:1.
|
|
623 |
newDigitArray := result digits.
|
|
624 |
|
|
625 |
count to:1 by:-1 do:[:i |
|
|
626 |
tmp1 := digitArray at:i.
|
|
627 |
tmp1 := (tmp1 + (prevRest * 10000)).
|
|
628 |
newDigitArray at:i put:tmp1 // aSmallInteger.
|
|
629 |
prevRest := (tmp1 \\ aSmallInteger).
|
|
630 |
].
|
|
631 |
|
|
632 |
^ Array with:(result normalize) with:prevRest
|
|
633 |
!
|
|
634 |
|
1
|
635 |
absDiv:anInteger
|
|
636 |
"return an array with two LargeIntegers representing
|
54
|
637 |
abs(self) // abs(theArgument) and abs(self) \\ abs(theArgument).
|
|
638 |
This needs a rewrite."
|
1
|
639 |
|
|
640 |
|tmp1 tmp2
|
|
641 |
rem
|
|
642 |
count "{ Class: SmallInteger }"
|
|
643 |
digit "{ Class: SmallInteger }" |
|
|
644 |
|
|
645 |
self == 0 ifTrue:[^ 0].
|
|
646 |
anInteger == 0 ifTrue:[^ self divideByZeroError].
|
|
647 |
|
|
648 |
self < anInteger ifTrue:[
|
|
649 |
^ Array with:0 with:self
|
|
650 |
].
|
|
651 |
|
13
|
652 |
tmp1 := self simpleDeepCopy.
|
|
653 |
tmp2 := anInteger simpleDeepCopy.
|
1
|
654 |
count := 0.
|
|
655 |
[tmp2 < tmp1] whileTrue:[
|
|
656 |
tmp2 mul10.
|
|
657 |
count := count + 1
|
|
658 |
].
|
|
659 |
|
|
660 |
tmp2 div10.
|
|
661 |
|
|
662 |
rem := 0 asLargeInteger.
|
|
663 |
[count == 0] whileFalse:[
|
|
664 |
digit := 0.
|
|
665 |
[tmp1 >= tmp2] whileTrue:[
|
|
666 |
digit := digit + 1.
|
|
667 |
tmp1 := tmp1 - tmp2
|
|
668 |
].
|
|
669 |
rem := rem * 10 + digit.
|
|
670 |
tmp2 div10.
|
|
671 |
count := count - 1
|
|
672 |
].
|
|
673 |
^ Array with:rem with:tmp1
|
|
674 |
!
|
|
675 |
|
|
676 |
mul10
|
|
677 |
"destructively multiply the receiver by 10.
|
|
678 |
private - used for division only"
|
|
679 |
|
|
680 |
|carry "{ Class: SmallInteger }"
|
|
681 |
prod "{ Class: SmallInteger }"|
|
|
682 |
|
|
683 |
carry := 0.
|
|
684 |
1 to:(digitArray size) do:[:index |
|
|
685 |
prod := (digitArray at:index) * 10 + carry.
|
|
686 |
digitArray at:index put:prod \\ 10000.
|
|
687 |
carry := prod // 10000
|
|
688 |
].
|
|
689 |
carry ~~ 0 ifTrue:[
|
|
690 |
digitArray := digitArray copyWith:carry
|
|
691 |
]
|
|
692 |
!
|
|
693 |
|
|
694 |
div10
|
|
695 |
"destructively divide the receiver by 10.
|
|
696 |
private - used for division only"
|
|
697 |
|
54
|
698 |
|nDigits "{ Class: SmallInteger }"|
|
1
|
699 |
|
|
700 |
nDigits := digitArray size.
|
|
701 |
1 to:(nDigits - 1) do:[:index |
|
|
702 |
digitArray at:index put:((digitArray at:index) // 10
|
|
703 |
+ ((digitArray at:index + 1) \\ 10 * 1000))
|
|
704 |
].
|
|
705 |
digitArray at:nDigits put:(digitArray at:nDigits) // 10
|
|
706 |
!
|
|
707 |
|
|
708 |
normalize
|
|
709 |
"if the receiver can be represented as a SmallInteger, return
|
|
710 |
a SmallInteger with my value; otherwise return self with leading
|
|
711 |
zeros removed"
|
|
712 |
|
|
713 |
|index "{ Class: SmallInteger }" |
|
|
714 |
|
|
715 |
index := digitArray size.
|
|
716 |
[(index > 0) and:[(digitArray at:index) == 0]] whileTrue:[
|
|
717 |
index := index - 1
|
|
718 |
].
|
|
719 |
(index == 1) ifTrue:[
|
|
720 |
^ (digitArray at:1) * sign
|
|
721 |
].
|
|
722 |
(index == 2) ifTrue:[
|
|
723 |
^ ((digitArray at:2) * 10000 + (digitArray at:1)) * sign
|
|
724 |
].
|
|
725 |
(index == 0) ifTrue:[
|
|
726 |
^ 0
|
|
727 |
].
|
|
728 |
(index ~~ digitArray size) ifTrue:[
|
|
729 |
digitArray := digitArray copyFrom:1 to:index
|
|
730 |
].
|
|
731 |
^ self
|
|
732 |
!
|
|
733 |
|
|
734 |
digits
|
|
735 |
^ digitArray
|
|
736 |
!
|
|
737 |
|
|
738 |
numberOfDigits
|
|
739 |
^ digitArray size
|
|
740 |
!
|
|
741 |
|
|
742 |
numberOfDigits:nDigits
|
|
743 |
digitArray := Array new:nDigits
|
|
744 |
!
|
|
745 |
|
|
746 |
sign:aNumber
|
|
747 |
sign := aNumber
|
|
748 |
! !
|
|
749 |
|
|
750 |
!LargeInteger methodsFor:'printing & storing'!
|
|
751 |
|
54
|
752 |
storeOn:aStream
|
|
753 |
"append a representation of the receiver to aStream, which can
|
|
754 |
be used to reconstruct the receiver."
|
1
|
755 |
|
54
|
756 |
self printOn:aStream.
|
|
757 |
aStream nextPutAll:' asLargeInteger'
|
1
|
758 |
!
|
|
759 |
|
54
|
760 |
printStringRadix:aRadix
|
|
761 |
"return a printed representation of the receiver as a string"
|
|
762 |
|
|
763 |
|index fourDigits n s|
|
|
764 |
|
|
765 |
"this one can handle base10 fast - others are done by general method"
|
|
766 |
aRadix ~~ 10 ifTrue:[
|
|
767 |
^ super printStringRadix:aRadix
|
|
768 |
].
|
1
|
769 |
|
|
770 |
index := digitArray size.
|
|
771 |
[(index > 1) and:[(digitArray at:index) == 0]] whileTrue:[
|
|
772 |
index := index - 1
|
|
773 |
].
|
|
774 |
(sign == 0) ifTrue: [^ '0'].
|
|
775 |
(sign == -1) ifTrue: [
|
54
|
776 |
s := '-'
|
|
777 |
] ifFalse:[
|
|
778 |
s := ''
|
1
|
779 |
].
|
|
780 |
|
54
|
781 |
s := s , (digitArray basicAt:index) printString.
|
1
|
782 |
index := index - 1.
|
|
783 |
[index > 0] whileTrue:[
|
|
784 |
fourDigits := (digitArray basicAt:index) printString.
|
|
785 |
n := fourDigits size.
|
|
786 |
(n < 4) ifTrue:[
|
54
|
787 |
s := s , (String new:(3 - n) withAll:$0)
|
1
|
788 |
].
|
54
|
789 |
s := s , fourDigits.
|
1
|
790 |
index := index - 1
|
|
791 |
].
|
54
|
792 |
^ s
|
1
|
793 |
! !
|