Integer.st
author Claus Gittinger <cg@exept.de>
Thu, 28 Mar 2002 12:02:25 +0100
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permissions -rw-r--r--
highBit now returns 0 if no bit is set.
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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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"{ Package: 'stx:libbasic' }"
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Number subclass:#Integer
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	instanceVariableNames:''
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	classVariableNames:'DefaultDisplayRadix BCDConversionErrorSignal'
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	poolDictionaries:''
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	category:'Magnitude-Numbers'
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!
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Object subclass:#ModuloNumber
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	instanceVariableNames:'modulus reciprocal shift'
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	classVariableNames:''
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	poolDictionaries:''
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	privateIn:Integer
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!Integer class methodsFor:'documentation'!
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copyright
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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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documentation
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    abstract superclass for all integer numbers.
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    See details in concrete subclasses LargeInteger and SmallInteger.
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    Mixed mode arithmetic:
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	int op int         -> int
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	int op fix         -> fix; scale is fix's scale
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	int op fraction    -> fraction
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	int op float       -> float
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    [Class variables:]
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	DefaultDisplayRadix     the radix in which integers present their 
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				displayString (which is used in inspectors)
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				If you are to look at many hex numbers, bitmasks
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				etc. you may set this to 2 or 16.
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				(avoids typing printStringRadix:.. all the time
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				 - I know - I am lazy ;-). Default is 10.
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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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	LargeInteger SmallInteger
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	Float ShortFloat Fraction FixedPoint
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! !
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!Integer class methodsFor:'initialization'!
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initialize
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    BCDConversionErrorSignal isNil ifTrue:[
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        BCDConversionErrorSignal := ConversionErrorSignal newSignal.
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        BCDConversionErrorSignal nameClass:self message:#bcdConversionErrorSignal.
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        BCDConversionErrorSignal notifierString:'bcd conversion error'.
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    ].
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    "Modified: / 15.11.1999 / 20:36:04 / cg"
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! !
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!Integer class methodsFor:'instance creation'!
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byte1:b1 byte2:b2 byte3:b3 byte4:b4
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    "Squeak compatibility:
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     Return an Integer given four value bytes.
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     The returned integer is either a Small- or a LargeInteger"
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    |t|
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    t := b4.
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    t := (t bitShift:8) + b3.
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    t := (t bitShift:8) + b2.
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    ^ (t bitShift:8) + b1.
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    "
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     (Integer byte1:16r10 byte2:16r32 byte3:16r54 byte4:16r76) hexPrintString
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     (Integer byte1:16r00 byte2:16r11 byte3:16r22 byte4:16r33) hexPrintString
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    "
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    "Created: 19.10.1997 / 18:08:52 / cg"
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    "Modified: 19.10.1997 / 18:09:04 / cg"
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!
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fastFromString:aString at:startIndex
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    "return the next unsigned Integer from the string 
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     as a decimal number, starting at startIndex.
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     The number must be in the native machines int range
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     (i.e. 63bit on alpha / 31 on all others);
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     However, for portability, only use it for 31bit numbers.
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     No spaces are skipped.
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     This is a specially tuned entry (using a low-level C-call), which
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     returns garbage if the argument string is not a small integer number.
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     It has been added to allow higher speed string decomposition into
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     numbers."
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%{
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     if (__isString(aString) && __isSmallInteger(startIndex)) {
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        char *cp = (char *)(__stringVal(aString));
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        int idx = __intVal(startIndex) - 1;
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        unsigned INT val;
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        if ((unsigned)idx < __stringSize(aString)) {
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            val = atoi(cp + idx);
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            if (val <= _MAX_INT) {
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                RETURN(__MKSMALLINT(val));
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            }
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            RETURN (__MKUINT(val));
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        }
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     }
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%}.
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     self primitiveFailed.
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    "
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     Integer fastFromString:'12345' at:1  
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     Integer fastFromString:'12345' at:2  
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     Integer fastFromString:'12345' at:3  
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     Integer fastFromString:'12345' at:4  
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     Integer fastFromString:'12345' at:5  
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     Integer fastFromString:'1234512345' at:1  
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     Integer fastFromString:'2147483647' at:1  
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     Integer fastFromString:'4294967295' at:1 
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     Integer fastFromString:'12345' at:6  
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     Integer fastFromString:'12345' at:0  
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     Time millisecondsToRun:[
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        100000 timesRepeat:[
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            Integer readFrom:'12345'
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        ]
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     ]  
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    "
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    "
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     Time millisecondsToRun:[
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        100000 timesRepeat:[
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            Integer fastFromString:'12345' at:1  
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        ]
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     ]   
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    "
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!
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fromBCDBytes:aByteArray
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    "given a byteArray in BCD format, return an appropriate integer.
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     The byteArray must contain the BCD encoded decimal string,
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     starting with the most significant digits.
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     This conversion is useful for some communication protocols,
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     or control systems, which represent big numbers this way...
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    "
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    |val|
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    val := 0.
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    aByteArray do:[:twoDigits |
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        |hi lo|
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        hi := (twoDigits bitShift:-4) bitAnd:16r0F.
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        lo := twoDigits bitAnd:16r0F.
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        val := (val * 100) + (hi * 10) + lo
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    ].
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    ^ val
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    "
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     Integer fromBCDBytes:#[16r12 16r34 16r56]    
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     Integer fromBCDBytes:#[16r12 16r34 16r56 16r78]   
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     Integer fromBCDBytes:#[16r12 16r34 16r56 16r78 16r90] 
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     Integer fromBCDBytes:#[16r98 16r76 16r54] 
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     Integer fromBCDBytes:#[16r98 16r76 16r54 16r32] 
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     Integer fromBCDBytes:#[16r98 16r76 16r54 16r32 16r10] 
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     Integer fromBCDBytes:#[16r12 16r34 16r56 16r78 16r90 16r12 16r34 16r56 16r78 16r90]
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    "
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!
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fromSwappedBCDBytes:aByteArray
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    "given a byteArray in BCD format, return an appropriate integer.
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     The byteArray must contain the BCD encoded decimal string,
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     starting with the LEAST significant digits.
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     This conversion is useful for some communication protocols,
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     or control systems (e.g. SMC), which represent big numbers this way...
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    "
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    |val|
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    val := 0.
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    aByteArray do:[:twoDigits |
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        |hi lo|
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        lo := (twoDigits bitShift:-4) bitAnd:16r0F.
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        hi := twoDigits bitAnd:16r0F.
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        lo <= 9 ifTrue:[
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            val := (val * 100) + (hi * 10) + lo
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        ] ifFalse:[
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            "16rF is used to encode an odd number of digits"
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            val := (val * 10) + hi.
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        ].
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    ].
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    ^ val
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    "
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     Integer fromSwappedBCDBytes:#[16r12 16r34 16r56]    
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     Integer fromSwappedBCDBytes:#[16r12 16r34 16rF6]    
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     Integer fromSwappedBCDBytes:#[16r12 16r34 16r56 16r78]   
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     Integer fromSwappedBCDBytes:#[16r12 16r34 16r56 16r78 16r90] 
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     Integer fromSwappedBCDBytes:#[16r98 16r76 16r54] 
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     Integer fromSwappedBCDBytes:#[16r98 16r76 16r54 16r32] 
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     Integer fromSwappedBCDBytes:#[16r98 16r76 16r54 16r32 16r10] 
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     Integer fromSwappedBCDBytes:#[16r12 16r34 16r56 16r78 16r90 16r12 16r34 16r56 16r78 16r90]
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    "
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!
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92
0c73b48551ac *** empty log message ***
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new:numberOfBytes neg:negative
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    "for ST-80 compatibility:
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     Return an empty Integer (uninitialized value) with space for
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     numberOfBytes bytes (= digitLength). The additional argument
132
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     negative specifies if the result should be a negative number.
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     The digits can be stored byte-wise into the result, using digitAt:put:"
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132
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    ^ (LargeInteger basicNew numberOfDigits:numberOfBytes) 
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		sign:(negative ifTrue:[-1] ifFalse:[1])
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!
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readFrom:aStringOrStream 
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    "return the next unsigned Integer from the (character-)stream aStream 
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     as decimal number. 
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     NOTICE:   
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       This behaves different from the default readFrom:, in returning
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       0 (instead of raising an error) in case no number can be read.
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       It is unclear, if this is the correct behavior (ST-80 does this)
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       - depending on the upcoming ANSI standard, this may change."
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    ^ self readFrom:aStringOrStream onError:0
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    "
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     Integer readFrom:(ReadStream on:'foobar')     
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     Integer readFrom:(ReadStream on:'foobar') onError:nil  
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    "
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!
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readFrom:aStringOrStream onError:exceptionBlock
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    "return the next Integer from the (character-)stream aStream,
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     handling initial XXr for arbitrary radix numbers and initial sign.
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     Also, all initial whitespace is skipped.
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     If the string does not represent a valid integer number,
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     return the value of exceptionBlock."
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    |value|
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1700
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    ErrorSignal handle:[:ex |
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        ^ exceptionBlock value
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    ] do:[
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        |str nextChar negative|
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        str := aStringOrStream readStream.
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        nextChar := str skipSeparators.
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        (nextChar == $-) ifTrue:[
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            negative := true.
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            str next.
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            nextChar := str peekOrNil
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        ] ifFalse:[
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            negative := false
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        ].
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        (nextChar isNil or:[nextChar isDigit not]) ifTrue:[ 
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            "
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             the string does not represent an integer
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            "
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            ^ exceptionBlock value
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        ].
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        value := self readFrom:str radix:10.
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        nextChar := str peekOrNil.
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        ((nextChar == $r) or:[ nextChar == $R]) ifTrue:[
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            "-xxr<number> is invalid; should be xxr-<val>"
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            negative ifTrue:[
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                'Integer [warning]: invalid (negative) radix ignored' errorPrintCR.
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                negative := false
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            ].
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            str next.
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            value := self readFrom:str radix:value
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        ].
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        negative 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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     Integer readFrom:'12345'      onError:['wrong']    
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     Integer readFrom:'-12345'     onError:['wrong']    
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     Integer readFrom:'+12345'     onError:['wrong']    
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     Integer readFrom:'16rFFFF'    onError:['wrong']    
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     Integer readFrom:'12345.1234' onError:['wrong'] 
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     Integer readFrom:'foo'        onError:['wrong']
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     Integer readFrom:'foo'                          
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   322
    "
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   323
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    "Created: / 16.11.1995 / 22:48:59 / cg"
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    "Modified: / 14.4.1998 / 19:17:28 / cg"
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   326
!
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   327
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   328
readFrom:aStringOrStream radix:radix
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    "return the next unsigned Integer from the (character-)stream aStream 
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     in radix; (assumes that the initial XXr has already been read).
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     No whitespace-skipping is done.
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   332
     Returns 0 if no number available.
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   333
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   334
     NOTICE:   
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   335
       This behaves different from the default readFrom:, in returning
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   336
       0 (instead of raising an error) in case no number can be read.
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   337
       It is unclear, if this is the correct behavior (ST-80 does this)
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   338
       - depending on the upcoming ANSI standard, this may change."
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   339
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   340
    ^ self readFrom:aStringOrStream radix:radix onError:0
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   341
!
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   342
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   343
readFrom:aStringOrStream radix:radix onError:exceptionBlock
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   344
    "return the next unsigned Integer from the (character-)stream aStream 
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     in radix; (assumes that the initial XXr has already been read).
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     No whitespace-skipping is done.
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   347
     Returns the value of exceptionBlock, if no number is available."
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diff changeset
   348
4169
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   349
    |str nextChar nextChar2 value 
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   350
     r     "{ Class: SmallInteger }"
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   351
     r2    "{ Class: SmallInteger }"|
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   352
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   353
    str := aStringOrStream readStream.
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   354
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   355
    nextChar := str peekOrNil.
701
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   356
    (nextChar notNil and:[nextChar isDigitRadix:radix]) ifFalse:[
3374
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   357
        ^ exceptionBlock value
701
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diff changeset
   358
    ].
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diff changeset
   359
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   360
    value := nextChar digitValue.
3374
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diff changeset
   361
    str next.
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diff changeset
   362
    nextChar := str peekOrNil.
4169
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diff changeset
   363
7079cb06963b tuned string -> integer conversion for Large numbers.
Claus Gittinger <cg@exept.de>
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diff changeset
   364
"/ OLD code
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parents: 4158
diff changeset
   365
"/    [nextChar notNil and:[nextChar isDigitRadix:radix]] whileTrue:[
7079cb06963b tuned string -> integer conversion for Large numbers.
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diff changeset
   366
"/        str next.
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diff changeset
   367
"/        value := value * radix + nextChar digitValue.
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diff changeset
   368
"/        nextChar := str peekOrNil.
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diff changeset
   369
"/    ].
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diff changeset
   370
"/    ^ value.
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diff changeset
   371
7079cb06963b tuned string -> integer conversion for Large numbers.
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parents: 4158
diff changeset
   372
    "/ the code below does the same, but is much faster, if the
7079cb06963b tuned string -> integer conversion for Large numbers.
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diff changeset
   373
    "/ converted number is large
7079cb06963b tuned string -> integer conversion for Large numbers.
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parents: 4158
diff changeset
   374
    "/ (requires only half as many LargeInt multiplications and additions)
7079cb06963b tuned string -> integer conversion for Large numbers.
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diff changeset
   375
    "/ It should not be slower for smallIntegers.
7079cb06963b tuned string -> integer conversion for Large numbers.
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diff changeset
   376
7079cb06963b tuned string -> integer conversion for Large numbers.
Claus Gittinger <cg@exept.de>
parents: 4158
diff changeset
   377
    r := radix.
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Claus Gittinger <cg@exept.de>
parents: 4158
diff changeset
   378
    r2 := r * r.
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diff changeset
   379
7079cb06963b tuned string -> integer conversion for Large numbers.
Claus Gittinger <cg@exept.de>
parents: 4158
diff changeset
   380
    [nextChar notNil and:[nextChar isDigitRadix:r]] whileTrue:[
3374
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diff changeset
   381
        str next.
4169
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parents: 4158
diff changeset
   382
        nextChar2 := str peekOrNil.
7079cb06963b tuned string -> integer conversion for Large numbers.
Claus Gittinger <cg@exept.de>
parents: 4158
diff changeset
   383
        (nextChar2 notNil and:[nextChar2 isDigitRadix:r]) ifTrue:[
7079cb06963b tuned string -> integer conversion for Large numbers.
Claus Gittinger <cg@exept.de>
parents: 4158
diff changeset
   384
            str next.
7079cb06963b tuned string -> integer conversion for Large numbers.
Claus Gittinger <cg@exept.de>
parents: 4158
diff changeset
   385
            value := (value * r2) + ((nextChar digitValue * r) + nextChar2 digitValue).
7079cb06963b tuned string -> integer conversion for Large numbers.
Claus Gittinger <cg@exept.de>
parents: 4158
diff changeset
   386
            nextChar := str peekOrNil.
7079cb06963b tuned string -> integer conversion for Large numbers.
Claus Gittinger <cg@exept.de>
parents: 4158
diff changeset
   387
        ] ifFalse:[
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parents: 4158
diff changeset
   388
            ^ (value * r) + nextChar digitValue.
7079cb06963b tuned string -> integer conversion for Large numbers.
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parents: 4158
diff changeset
   389
        ]
701
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diff changeset
   390
    ].
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diff changeset
   391
    ^ value
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diff changeset
   392
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diff changeset
   393
    "
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diff changeset
   394
     Integer readFrom:(ReadStream on:'12345') radix:10  
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diff changeset
   395
     Integer readFrom:(ReadStream on:'FFFF') radix:16  
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parents: 569
diff changeset
   396
     Integer readFrom:(ReadStream on:'1010') radix:2   
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diff changeset
   397
     Integer readFrom:(ReadStream on:'foobar') radix:10   
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diff changeset
   398
     Integer readFrom:(ReadStream on:'foobar') radix:10 onError:nil  
4169
7079cb06963b tuned string -> integer conversion for Large numbers.
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parents: 4158
diff changeset
   399
     Integer readFrom:'gg' radix:10 onError:0                      
701
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diff changeset
   400
    "
3374
6897f584accb faster conversion from string (due to slow #pastEnd)
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parents: 3298
diff changeset
   401
6897f584accb faster conversion from string (due to slow #pastEnd)
Claus Gittinger <cg@exept.de>
parents: 3298
diff changeset
   402
    "Modified: / 14.4.1998 / 19:16:46 / cg"
701
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diff changeset
   403
! !
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parents: 569
diff changeset
   404
4996
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
   405
!Integer class methodsFor:'Signal constants'!
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
   406
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
   407
bcdConversionErrorSignal
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
   408
    "return the signal which is raised when bcd conversion fails
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
   409
     (i.e. when trying to decode an invalid BCD number)"
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
   410
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
   411
    ^ BCDConversionErrorSignal
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
   412
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
   413
    "Modified: / 15.11.1999 / 20:35:20 / cg"
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
   414
! !
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
   415
1842
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
   416
!Integer class methodsFor:'constants'!
701
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diff changeset
   417
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diff changeset
   418
unity
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parents: 1431
diff changeset
   419
    "return the neutral element for multiplication (1)"
701
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diff changeset
   420
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diff changeset
   421
    ^ 1
1555
316491c1b216 commentary
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parents: 1431
diff changeset
   422
316491c1b216 commentary
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parents: 1431
diff changeset
   423
    "Modified: 18.7.1996 / 12:26:43 / cg"
701
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diff changeset
   424
!
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diff changeset
   425
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diff changeset
   426
zero
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316491c1b216 commentary
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parents: 1431
diff changeset
   427
    "return the neutral element for addition (0)"
701
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diff changeset
   428
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diff changeset
   429
    ^ 0
1555
316491c1b216 commentary
Claus Gittinger <cg@exept.de>
parents: 1431
diff changeset
   430
316491c1b216 commentary
Claus Gittinger <cg@exept.de>
parents: 1431
diff changeset
   431
    "Modified: 18.7.1996 / 12:26:38 / cg"
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   432
! !
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   433
1842
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
   434
!Integer class methodsFor:'misc'!
49
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
   435
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
   436
displayRadix:aNumber
54
06dbdeeed4f9 *** empty log message ***
claus
parents: 52
diff changeset
   437
    "being tired of always sending #printStringRadix: in the inspectors,
49
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
   438
     this allows you to change the default print radix for the displayString
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
   439
     method."
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
   440
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
   441
    DefaultDisplayRadix := aNumber
132
ab2cfccd218c *** empty log message ***
claus
parents: 92
diff changeset
   442
ab2cfccd218c *** empty log message ***
claus
parents: 92
diff changeset
   443
    "
ab2cfccd218c *** empty log message ***
claus
parents: 92
diff changeset
   444
     Integer displayRadix:16. 123456 inspect
ab2cfccd218c *** empty log message ***
claus
parents: 92
diff changeset
   445
     Integer displayRadix:10. 123456 inspect
ab2cfccd218c *** empty log message ***
claus
parents: 92
diff changeset
   446
    "
49
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
   447
! !
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
   448
4653
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
   449
!Integer class methodsFor:'queries'!
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
   450
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
   451
hasSharedInstances
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
   452
    "return true if this class has shared instances, that is, instances
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
   453
     with the same value are identical.
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
   454
     Although not always shared (LargeIntegers), these should be treated
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
   455
     so, to be independent of the number of bits in a SmallInt"
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
   456
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
   457
    ^ true
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
   458
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
   459
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
   460
! !
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
   461
6249
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   462
!Integer methodsFor:'Compatibility - Dolphin'!
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   463
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   464
highWord
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   465
    "return the high 16 bits of a 32 bit value"
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   466
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   467
    ^ self bitShift:-16
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   468
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   469
    "
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   470
     (16r12345678 highWord) hexPrintString 
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   471
     (16r12345678 lowWord) hexPrintString 
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   472
    "
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   473
!
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   474
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   475
lowWord
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   476
    "return the low 16 bits of a 32 bit value"
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   477
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   478
    ^ self bitAnd:16rFFFF
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   479
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   480
    "
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   481
     (16r12345678 lowWord) hexPrintString    
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   482
     (16r12345678 highWord) hexPrintString   
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   483
    "
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   484
!
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   485
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   486
mask:integerMask set:aBoolean
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   487
    "Answer the result of setting/resetting the specified mask in the receiver."
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   488
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   489
    ^ aBoolean 
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   490
            ifTrue:  [self maskSet:integerMask]
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   491
            ifFalse: [self maskClear:integerMask]
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   492
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   493
    "turn on the 1-bit:
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   494
         |v|
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   495
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   496
         v := 2r0100.
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   497
         v mask:1 set:true   
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   498
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   499
     turn off the 1-bit:
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   500
         |v|
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   501
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   502
         v := 2r0101.
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   503
         v mask:1 set:false   
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   504
    "
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   505
! !
fa8cb1110cef dolphin
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
   506
4867
3bb80fe9bb8f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4830
diff changeset
   507
!Integer methodsFor:'Compatibility - Squeak'!
3bb80fe9bb8f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4830
diff changeset
   508
3bb80fe9bb8f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4830
diff changeset
   509
atRandom
3bb80fe9bb8f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4830
diff changeset
   510
    "return a random number between 1 amd myself"
3bb80fe9bb8f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4830
diff changeset
   511
3bb80fe9bb8f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4830
diff changeset
   512
    self < 1 ifTrue:[^ self].
3bb80fe9bb8f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4830
diff changeset
   513
    ^ (1 to:self) atRandom
3bb80fe9bb8f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4830
diff changeset
   514
!
4376
8df0935ac5b1 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4278
diff changeset
   515
8df0935ac5b1 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4278
diff changeset
   516
printStringBase:base
4867
3bb80fe9bb8f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4830
diff changeset
   517
    "return my printString in a base;
3bb80fe9bb8f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4830
diff changeset
   518
     same as printStringRadix:"
3bb80fe9bb8f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4830
diff changeset
   519
4376
8df0935ac5b1 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4278
diff changeset
   520
    ^ self printStringRadix:base
8df0935ac5b1 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4278
diff changeset
   521
! !
8df0935ac5b1 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4278
diff changeset
   522
5186
ed0c5597034f category renamining
Claus Gittinger <cg@exept.de>
parents: 5171
diff changeset
   523
!Integer methodsFor:'Compatibility - V''Age'!
927
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   524
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   525
<< aNumber
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   526
    "left shift"
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   527
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   528
    ^ self bitShift:aNumber
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
    "
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   531
     1 << 5 
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   532
     64 << -5 
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   533
    "
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   534
!
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   535
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   536
>> aNumber
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   537
    "right shift"
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   538
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   539
    ^ self bitShift:(aNumber negated)
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   540
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   541
    "
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   542
     1 >> -5  
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   543
     64 >> 5  
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   544
    "
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   545
! !
a27a279701f8 Initial revision
claus
parents:
diff changeset
   546
4423
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   547
!Integer methodsFor:'bcd conversion'!
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   548
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   549
decodeFromBCD
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   550
    "return a number representing the value of the BCD encoded receiver."
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   551
4424
f0f658ed8995 bcd support
Claus Gittinger <cg@exept.de>
parents: 4423
diff changeset
   552
    |v rslt multiplier nibble|
4423
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   553
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   554
    v := self.
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   555
    rslt := 0.
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   556
    multiplier := 1.
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   557
    [v > 0] whileTrue:[
4424
f0f658ed8995 bcd support
Claus Gittinger <cg@exept.de>
parents: 4423
diff changeset
   558
        nibble := v bitAnd:16r0F.
f0f658ed8995 bcd support
Claus Gittinger <cg@exept.de>
parents: 4423
diff changeset
   559
        nibble > 9 ifTrue:[
4996
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
   560
            ^ BCDConversionErrorSignal 
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
   561
                    raiseRequestWith:self
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
   562
                    errorString:'bad BCD coded value'
4424
f0f658ed8995 bcd support
Claus Gittinger <cg@exept.de>
parents: 4423
diff changeset
   563
        ].
f0f658ed8995 bcd support
Claus Gittinger <cg@exept.de>
parents: 4423
diff changeset
   564
        rslt := rslt + (nibble * multiplier).
4423
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   565
        multiplier := multiplier * 10.
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   566
        v := v bitShift:-4.
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   567
    ].
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   568
    ^ rslt
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   569
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   570
    "
4949
4c0462bd4d6a checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4921
diff changeset
   571
     16r1234567890123 decodeFromBCD
4921
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   572
     16r1073741823 decodeFromBCD       
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   573
     16r1073741824 decodeFromBCD       
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   574
     16r1073741825 decodeFromBCD       
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   575
4423
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   576
     16r55 decodeFromBCD   
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   577
     16r127 decodeFromBCD    
4921
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   578
     16r800000 decodeFromBCD    
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   579
     16r8000000 decodeFromBCD    
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   580
     16r80000000 decodeFromBCD    
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   581
     16r800000000 decodeFromBCD    
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   582
     16r127567890 decodeFromBCD    
4423
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   583
     16r1234567890 decodeFromBCD     
4424
f0f658ed8995 bcd support
Claus Gittinger <cg@exept.de>
parents: 4423
diff changeset
   584
f0f658ed8995 bcd support
Claus Gittinger <cg@exept.de>
parents: 4423
diff changeset
   585
     16r5A decodeFromBCD   
4996
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
   586
     16rFF decodeFromBCD   
4423
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   587
    "
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   588
4996
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
   589
    "Modified: / 15.11.1999 / 20:37:20 / cg"
4423
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   590
!
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   591
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   592
encodeAsBCD
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   593
    "return a BCD encoded number representing the same value as the
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   594
     receiver."
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   595
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   596
    |v rslt shift|
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   597
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   598
    v := self.
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   599
    rslt := shift := 0.
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   600
    [v > 0] whileTrue:[
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   601
        rslt := rslt + ((v \\ 10) bitShift:shift).
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   602
        shift := shift + 4.
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   603
        v := v // 10.
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   604
    ].
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   605
    ^ rslt
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   606
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   607
    "
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   608
     55 encodeAsBCD hexPrintString 
4921
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   609
     127 encodeAsBCD hexPrintString        
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   610
     127 encodeAsBCD hexPrintString        
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   611
     8912345 encodeAsBCD hexPrintString        
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   612
     89123456 encodeAsBCD hexPrintString        
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   613
     891234567 encodeAsBCD hexPrintString        
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   614
     900000000 encodeAsBCD hexPrintString        
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   615
     1073741823 encodeAsBCD hexPrintString       
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   616
     1073741824 encodeAsBCD hexPrintString       
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   617
     1073741825 encodeAsBCD hexPrintString       
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   618
     1891234567 encodeAsBCD hexPrintString        
9fd46bc1b6ab comments
Claus Gittinger <cg@exept.de>
parents: 4918
diff changeset
   619
     8912345678 encodeAsBCD hexPrintString        
4423
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   620
     1234567890 encodeAsBCD hexPrintString  
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   621
    "
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   622
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   623
! !
2a478882f765 bcd support
Claus Gittinger <cg@exept.de>
parents: 4376
diff changeset
   624
69
4564b6328136 *** empty log message ***
claus
parents: 54
diff changeset
   625
!Integer methodsFor:'bit operators'!
4564b6328136 *** empty log message ***
claus
parents: 54
diff changeset
   626
4643
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   627
allMask:anInteger
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   628
    "return true if all 1-bits in anInteger are also 1 in the receiver"
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   629
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   630
    ^ (self bitAnd:anInteger) == anInteger
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   631
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   632
    "2r00001111 allMask:2r00000001"
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   633
    "2r00001111 allMask:2r00011110"
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   634
    "2r00001111 allMask:2r00000000"
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   635
!
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   636
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   637
anyMask:anInteger
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   638
    "return true if any 1-bits in anInteger is also 1 in the receiver.
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   639
     (somewhat incorrect, if the mask is zero)"
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   640
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   641
    ^ (self bitAnd:anInteger) ~~ 0
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   642
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   643
    "2r00001111 anyMask:2r00000001"
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   644
    "2r00001111 anyMask:2r11110000"
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   645
!
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
   646
69
4564b6328136 *** empty log message ***
claus
parents: 54
diff changeset
   647
bitAnd:anInteger
357
claus
parents: 356
diff changeset
   648
    "return the bitwise-and of the receiver and the argument, anInteger.
claus
parents: 356
diff changeset
   649
     This is a general and slow implementation, walking over the bytes of
claus
parents: 356
diff changeset
   650
     the receiver and the argument."
69
4564b6328136 *** empty log message ***
claus
parents: 54
diff changeset
   651
927
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   652
    |n "{ Class: SmallInteger }"
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   653
     result byte|
69
4564b6328136 *** empty log message ***
claus
parents: 54
diff changeset
   654
6358
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   655
    anInteger isInteger ifFalse:[
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   656
        ^ anInteger bitAndFromInteger:self.
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   657
    ].
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   658
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   659
    n := (anInteger digitLength) min:(self digitLength).
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   660
    result := self class basicNew numberOfDigits:n.
69
4564b6328136 *** empty log message ***
claus
parents: 54
diff changeset
   661
4564b6328136 *** empty log message ***
claus
parents: 54
diff changeset
   662
    1 to:n do:[:index |
6358
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   663
        byte := (anInteger digitAt:index) bitAnd:(self digitAt:index).
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   664
        result digitAt:index put:byte.
69
4564b6328136 *** empty log message ***
claus
parents: 54
diff changeset
   665
    ].
3162
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
   666
    (byte == 0 or:[n <= SmallInteger maxBytes]) ifTrue:[
6358
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   667
        ^ result compressed
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   668
    ].
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   669
    ^ result
357
claus
parents: 356
diff changeset
   670
claus
parents: 356
diff changeset
   671
    "
claus
parents: 356
diff changeset
   672
     (16r112233445566778899 bitAnd:16rFF                ) printStringRadix:16 
claus
parents: 356
diff changeset
   673
     (16r112233445566778899 bitAnd:16rFFFFFFFFFFFFFFFF00) printStringRadix:16 
claus
parents: 356
diff changeset
   674
     (16r112233445566778899 bitAnd:16rFF0000000000000000) printStringRadix:16 
claus
parents: 356
diff changeset
   675
     (16r112233445566778899 bitAnd:16r00000000000000FFFF) printStringRadix:16 
claus
parents: 356
diff changeset
   676
    "
1883
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
   677
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
   678
    "Modified: 5.11.1996 / 14:06:26 / cg"
69
4564b6328136 *** empty log message ***
claus
parents: 54
diff changeset
   679
!
4564b6328136 *** empty log message ***
claus
parents: 54
diff changeset
   680
85
claus
parents: 77
diff changeset
   681
bitAt:index
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   682
    "return the value of the index's bit (index starts at 1).
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   683
     Notice: the result of bitShift: on negative receivers is not 
5496
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
   684
             defined in the language standard (since the implementation
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
   685
             is free to choose any internal representation for integers)"
85
claus
parents: 77
diff changeset
   686
claus
parents: 77
diff changeset
   687
    |i "{Class: SmallInteger}"|
claus
parents: 77
diff changeset
   688
5496
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
   689
    index <= 0 ifTrue:[
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
   690
        ^ SubscriptOutOfBoundsSignal 
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
   691
                raiseRequestWith:index
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
   692
                errorString:'index out of bounds'
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
   693
    ].
85
claus
parents: 77
diff changeset
   694
    i := index - 1.
claus
parents: 77
diff changeset
   695
    ^ (self digitAt:(i // 8 + 1)) bitAt:(i \\ 8 + 1)
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   696
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   697
    "
927
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   698
     1 bitAt:1                     => 1 
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   699
     1 bitAt:2                     => 0
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   700
     1 bitAt:0                     index error
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   701
     2r1000100010001000100010001000100010001000100010001000 bitAt:48 => 1  
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   702
     2r1000100010001000100010001000100010001000100010001000 bitAt:47 => 0  
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   703
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   704
     (1 bitShift:1000) bitAt:1000  => 0
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   705
     (1 bitShift:1000) bitAt:1001  => 1
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   706
     (1 bitShift:1000) bitAt:1002  => 0
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   707
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   708
     (1 bitShift:30) bitAt:30    
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   709
     (1 bitShift:30) bitAt:31    
927
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   710
     (1 bitShift:30) bitAt:32     
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   711
     (1 bitShift:31) bitAt:31     
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   712
     (1 bitShift:31) bitAt:32     
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   713
     (1 bitShift:31) bitAt:33    
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   714
     (1 bitShift:32) bitAt:32    
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   715
     (1 bitShift:32) bitAt:33    
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   716
     (1 bitShift:32) bitAt:34    
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   717
     (1 bitShift:64) bitAt:64     
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   718
     (1 bitShift:64) bitAt:65     
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   719
     (1 bitShift:64) bitAt:66     
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   720
    "
85
claus
parents: 77
diff changeset
   721
!
claus
parents: 77
diff changeset
   722
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
   723
bitClear:anInteger
3884
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   724
    "return the bitwise-and of the receiver and the complement of argument, anInteger.
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   725
     This is a general and slow implementation, walking over the bytes of
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   726
     the receiver and the argument."
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   727
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   728
    |n "{ Class: SmallInteger }"
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   729
     result byte|
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
   730
3884
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   731
    n := (anInteger digitLength) max:(self digitLength).
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   732
    result := self class basicNew numberOfDigits:n.
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   733
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   734
    1 to:n do:[:index |
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   735
        byte :=  (self digitAt:index) bitClear:(anInteger digitAt:index).
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   736
        result digitAt:index put:byte.
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   737
    ].
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   738
    (byte == 0 or:[n <= SmallInteger maxBytes]) ifTrue:[
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   739
        ^ result compressed
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   740
    ].
ddda4144e331 fixed bitClear
ca
parents: 3874
diff changeset
   741
    ^ result
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
   742
!
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
   743
3455
2b19e1e70adc added bitInvert for LargeIntegers (positive only)
Claus Gittinger <cg@exept.de>
parents: 3395
diff changeset
   744
bitInvert
2b19e1e70adc added bitInvert for LargeIntegers (positive only)
Claus Gittinger <cg@exept.de>
parents: 3395
diff changeset
   745
    "return a new integer, where all bits are complemented.
2b19e1e70adc added bitInvert for LargeIntegers (positive only)
Claus Gittinger <cg@exept.de>
parents: 3395
diff changeset
   746
     This does not really make sense for negative largeIntegers,
2b19e1e70adc added bitInvert for LargeIntegers (positive only)
Claus Gittinger <cg@exept.de>
parents: 3395
diff changeset
   747
     since the digits are stored as absolute value."
2b19e1e70adc added bitInvert for LargeIntegers (positive only)
Claus Gittinger <cg@exept.de>
parents: 3395
diff changeset
   748
4614
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   749
"/    ^ -1 - self
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   750
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   751
    |n "{ Class: SmallInteger }"
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   752
     result byte|
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   753
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   754
    n := self digitLength.
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   755
    result := self class basicNew numberOfDigits:n.
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   756
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   757
    1 to:n do:[:index |
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   758
        byte := self digitAt:index.
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   759
        result digitAt:index put:(byte bitInvert bitAnd:16rFF).
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   760
    ].
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   761
    (byte == 255 or:[n <= SmallInteger maxBytes]) ifTrue:[
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   762
        ^ result compressed
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   763
    ].
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   764
    ^ result
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   765
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   766
     "
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   767
      16rffffffff bitInvert     
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   768
      16rff00ff00 bitInvert hexPrintString  
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   769
     "
3455
2b19e1e70adc added bitInvert for LargeIntegers (positive only)
Claus Gittinger <cg@exept.de>
parents: 3395
diff changeset
   770
!
2b19e1e70adc added bitInvert for LargeIntegers (positive only)
Claus Gittinger <cg@exept.de>
parents: 3395
diff changeset
   771
4376
8df0935ac5b1 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4278
diff changeset
   772
bitInvert32
8df0935ac5b1 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4278
diff changeset
   773
    "return a new integer, where the low32 bits are complemented."
8df0935ac5b1 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4278
diff changeset
   774
8df0935ac5b1 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4278
diff changeset
   775
    ^ self bitXor: 16rFFFFFFFF
8df0935ac5b1 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4278
diff changeset
   776
8df0935ac5b1 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4278
diff changeset
   777
    "
4609
6a1819c7a743 comment
Claus Gittinger <cg@exept.de>
parents: 4522
diff changeset
   778
     16r80000000 bitInvert32 hexPrintString  
6a1819c7a743 comment
Claus Gittinger <cg@exept.de>
parents: 4522
diff changeset
   779
     16r7FFFFFFF bitInvert32 hexPrintString  
4614
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   780
     16rFFFFFFFF bitInvert32 hexPrintString  
14d5ce4bf117 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4611
diff changeset
   781
     0 bitInvert32 hexPrintString   
4376
8df0935ac5b1 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4278
diff changeset
   782
    "
8df0935ac5b1 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4278
diff changeset
   783
!
8df0935ac5b1 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4278
diff changeset
   784
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   785
bitOr:anInteger
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   786
    "return the bitwise-or of the receiver and the argument, anInteger.
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   787
     This is a general and slow implementation, walking over the bytes of
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   788
     the receiver and the argument."
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   789
927
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   790
    |n "{ Class: SmallInteger }"
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
   791
     result byte|
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   792
6358
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   793
    anInteger isInteger ifFalse:[
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   794
        ^ anInteger bitOrFromInteger:self.
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   795
    ].
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   796
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   797
    n := (anInteger digitLength) max:(self digitLength).
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   798
    result := self class basicNew numberOfDigits:n.
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   799
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   800
    1 to:n do:[:index |
6358
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   801
        byte := (anInteger digitAt:index) bitOr:(self digitAt:index).
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   802
        result digitAt:index put:byte.
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   803
    ].
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   804
"/ no need to normalize - if the operands were correct
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   805
"/    byte == 0 ifTrue:[
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   806
"/        ^ result normalize
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   807
"/    ].
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   808
    ^ result
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   809
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   810
85
claus
parents: 77
diff changeset
   811
bitShift:shiftCount
claus
parents: 77
diff changeset
   812
    "return the value of the receiver shifted by shiftCount bits;
claus
parents: 77
diff changeset
   813
     leftShift if shiftCount > 0; rightShift otherwise.
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   814
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   815
     Notice: the result of bitShift: on negative receivers is not 
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   816
             defined in the language standard (since the implementation
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   817
             is free to choose any internal representation for integers)"
85
claus
parents: 77
diff changeset
   818
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   819
    |result 
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   820
     prev       "{ Class: SmallInteger }"
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   821
     next       "{ Class: SmallInteger }"
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   822
     byte       "{ Class: SmallInteger }"
359
claus
parents: 357
diff changeset
   823
     byte2      "{ Class: SmallInteger }"
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   824
     bitShift   "{ Class: SmallInteger }"
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   825
     revShift   "{ Class: SmallInteger }"
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   826
     digitShift "{ Class: SmallInteger }"
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   827
     n          "{ Class: SmallInteger }" 
3044
a0bbac91639b *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3036
diff changeset
   828
     nn         "{ Class: SmallInteger }"
a0bbac91639b *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3036
diff changeset
   829
     nDigits    "{ Class: SmallInteger }" |
85
claus
parents: 77
diff changeset
   830
6358
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   831
    shiftCount isInteger ifFalse:[
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   832
        ^ shiftCount bitShiftFromInteger:self.
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   833
    ].
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
   834
85
claus
parents: 77
diff changeset
   835
    shiftCount > 0 ifTrue:[
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   836
        "left shift"
85
claus
parents: 77
diff changeset
   837
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   838
        digitShift := shiftCount // 8.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   839
        bitShift := shiftCount \\ 8.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   840
        n := self digitLength.
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   841
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   842
        "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   843
         modulo 8 shifts can be done faster ...
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   844
        "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   845
        bitShift == 0 ifTrue:[
5017
09d6baf12523 dont crash for unnormalized receiver
Claus Gittinger <cg@exept.de>
parents: 5003
diff changeset
   846
            n := n + digitShift.
09d6baf12523 dont crash for unnormalized receiver
Claus Gittinger <cg@exept.de>
parents: 5003
diff changeset
   847
            result := self class basicNew numberOfDigits:n.
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   848
            result sign:self sign.
5017
09d6baf12523 dont crash for unnormalized receiver
Claus Gittinger <cg@exept.de>
parents: 5003
diff changeset
   849
            result digitBytes replaceFrom:(digitShift + 1) to:n with:self digitBytes.
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   850
            "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   851
             no normalize needed, since receiver was already normalized
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   852
            "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   853
            ^ result
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   854
        ].
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   855
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   856
        "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   857
         less-than-8 shifts can be done faster ...
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   858
        "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   859
        digitShift == 0 ifTrue:[
4151
6d6971c27567 Some speedups.
Stefan Vogel <sv@exept.de>
parents: 4142
diff changeset
   860
            nn := n+1.
6d6971c27567 Some speedups.
Stefan Vogel <sv@exept.de>
parents: 4142
diff changeset
   861
            result := self class basicNew numberOfDigits:nn.
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   862
            result sign:self sign.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   863
            prev := 0.
4151
6d6971c27567 Some speedups.
Stefan Vogel <sv@exept.de>
parents: 4142
diff changeset
   864
            1 to:n do:[:index |
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   865
                byte := self digitAt:index.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   866
                byte := (byte bitShift:bitShift) bitOr:prev.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   867
                result digitAt:index put:(byte bitAnd:16rFF).
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   868
                prev := byte bitShift:-8.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   869
            ].
4151
6d6971c27567 Some speedups.
Stefan Vogel <sv@exept.de>
parents: 4142
diff changeset
   870
            result digitAt:nn put:prev.
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   871
            "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   872
             might have stored a 0-byte ...
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   873
            "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   874
            prev == 0 ifTrue:[
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   875
                ^ result compressed
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   876
            ].
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   877
            ^ result.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   878
        ].
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   879
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   880
        "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   881
         slow case ...
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   882
        "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   883
        n := n + digitShift + 1.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   884
        result := self class basicNew numberOfDigits:n.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   885
        result sign:self sign.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   886
        byte := self digitAt:1.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   887
        byte := (byte bitShift:bitShift) bitAnd:16rFF.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   888
        result digitAt:(digitShift + 1) put:byte.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   889
        revShift := -8 + bitShift.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   890
        nDigits := self digitLength.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   891
        2 to:nDigits do:[:index |
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   892
            byte := self digitAt:index.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   893
            byte2 := self digitAt:index-1.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   894
            byte := byte bitShift:bitShift.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   895
            byte2 := byte2 bitShift:revShift.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   896
            byte := (byte bitOr:byte2) bitAnd:16rFF.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   897
            result digitAt:(index + digitShift) put:byte.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   898
        ].
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   899
        byte2 := self digitAt:nDigits.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   900
        byte2 := (byte2 bitShift:revShift) bitAnd:16rFF.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   901
        result digitAt:(nDigits + digitShift + 1) put:byte2.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   902
        "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   903
         might have stored a 0-byte ...
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   904
        "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   905
        byte2 == 0 ifTrue:[
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   906
            ^ result compressed
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   907
        ].
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   908
        ^ result
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   909
    ].
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   910
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   911
    shiftCount < 0 ifTrue:[
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   912
        "right shift"
85
claus
parents: 77
diff changeset
   913
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   914
        digitShift := shiftCount negated // 8.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   915
        bitShift := shiftCount negated \\ 8.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   916
        n := self digitLength.
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   917
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   918
        digitShift >= n ifTrue:[
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   919
            ^ 0
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   920
        ].
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   921
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   922
        "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   923
         modulo 8 shifts can be done faster ...
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   924
        "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   925
        bitShift == 0 ifTrue:[
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   926
            n := n-digitShift.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   927
            result := self class basicNew numberOfDigits:n.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   928
            result sign:self sign.
4830
879f09ec443a Renamed #digits --> #digitBytes.
Claus Gittinger <cg@exept.de>
parents: 4803
diff changeset
   929
            result digitBytes replaceFrom:1 to:n with:self digitBytes startingAt:(digitShift + 1) .
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   930
            n <= SmallInteger maxBytes ifTrue:[
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   931
                ^ result compressed
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   932
            ].
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   933
            ^ result
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   934
        ].
85
claus
parents: 77
diff changeset
   935
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   936
        "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   937
         less-than-8 shifts can be done faster ...
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   938
        "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   939
        digitShift == 0 ifTrue:[
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   940
            result := self class basicNew numberOfDigits:n.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   941
            result sign:self sign.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   942
            prev := 0.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   943
            bitShift := bitShift negated.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   944
            revShift := 8 + bitShift.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   945
            n to:1 by:-1 do:[:index |
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   946
                byte := self digitAt:index.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   947
                next := (byte bitShift:revShift) bitAnd:16rFF.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   948
                byte := (byte bitShift:bitShift) bitOr:prev.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   949
                result digitAt:index put:(byte bitAnd:16rFF).
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   950
                prev := next.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   951
            ].
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   952
            (n <= 5) ifTrue:[
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   953
                ^ result compressed
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   954
            ].
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   955
            ^ result
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   956
        ].
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   957
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   958
        "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   959
         slow case ...
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   960
        "
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   961
        nn := n-digitShift.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   962
        result := self class basicNew numberOfDigits:nn.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   963
        result sign:self sign.
85
claus
parents: 77
diff changeset
   964
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   965
        prev := 0.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   966
        bitShift := bitShift negated.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   967
        revShift := 8 + bitShift.
4151
6d6971c27567 Some speedups.
Stefan Vogel <sv@exept.de>
parents: 4142
diff changeset
   968
        nn := digitShift + 1.
6d6971c27567 Some speedups.
Stefan Vogel <sv@exept.de>
parents: 4142
diff changeset
   969
        n to:nn by:-1 do:[:index |
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   970
            byte := self digitAt:index.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   971
            next := (byte bitShift:revShift) bitAnd:16rFF.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   972
            byte := (byte bitShift:bitShift) bitOr:prev.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   973
            result digitAt:(index - digitShift) put:byte.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   974
            prev := next.
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   975
        ].
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   976
        "the last stored byte ..."
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   977
        ^ result compressed
85
claus
parents: 77
diff changeset
   978
    ].
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   979
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
   980
    ^ self "no shift"
1883
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
   981
3638
edf314b220d2 fixed #bitShift: (right)
Claus Gittinger <cg@exept.de>
parents: 3455
diff changeset
   982
    "Modified: / 8.7.1998 / 12:45:24 / cg"
4151
6d6971c27567 Some speedups.
Stefan Vogel <sv@exept.de>
parents: 4142
diff changeset
   983
    "Modified: / 5.5.1999 / 16:05:05 / stefan"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   984
!
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   985
1407
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
   986
bitTest:anInteger
5782
dcc037e5bdbf comment change
Claus Gittinger <cg@exept.de>
parents: 5496
diff changeset
   987
    "return true, if any bit from aMask is set in the receiver.
dcc037e5bdbf comment change
Claus Gittinger <cg@exept.de>
parents: 5496
diff changeset
   988
     I.e. true, if the bitwise-AND of the receiver and the argument, anInteger
1407
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
   989
     is non-0, false otherwise.
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
   990
     This is a general and slow implementation, walking over the bytes of
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
   991
     the receiver and the argument."
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
   992
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
   993
    |n "{ Class: SmallInteger }"
4278
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
   994
     byte|
1407
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
   995
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
   996
    n := (anInteger digitLength) min:(self digitLength).
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
   997
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
   998
    1 to:n do:[:index |
4278
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
   999
        byte := (anInteger digitAt:index) bitAnd:(self digitAt:index).
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1000
        byte ~~ 0 ifTrue:[^ true].
1407
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1001
    ].
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1002
    ^ false
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1003
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1004
    "
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1005
     16r112233445566778899 bitTest:16rFF  
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1006
     16r112233445566778800 bitTest:16rFF  
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1007
     16r112233445566778899 bitTest:16rFFFFFFFFFFFFFFFF00  
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1008
     16r112233445566778899 bitTest:16rFF0000000000000000  
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1009
     16r112233445566778899 bitTest:16r00000000000000FFFF  
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1010
     16r1234567800000000 bitTest:16r8000000000000000  
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1011
     16r8765432100000000 bitTest:16r8000000000000000  
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1012
     16r12345678 bitTest:16r80000000  
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1013
     16r87654321 bitTest:16r80000000  
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1014
    "
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1015
4278
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1016
    "Modified: / 6.6.1999 / 15:10:33 / cg"
1407
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1017
!
6c278dcd5570 added #bitTest: for general integers
Claus Gittinger <cg@exept.de>
parents: 1337
diff changeset
  1018
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1019
bitXor:anInteger
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1020
    "return the bitwise-or of the receiver and the argument, anInteger.
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1021
     This is a general and slow implementation, walking over the bytes of
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1022
     the receiver and the argument."
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1023
927
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
  1024
    |n "{ Class: SmallInteger }"
8d8edf9df0ae fixed \\ vs. rem: and // vs. quo: stupidities;
Claus Gittinger <cg@exept.de>
parents: 701
diff changeset
  1025
     result byte|
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1026
6358
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
  1027
    anInteger isInteger ifFalse:[
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
  1028
        ^ anInteger bitXorFromInteger:self.
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
  1029
    ].
706234560a0b allow double dispatch for bit* operations
Claus Gittinger <cg@exept.de>
parents: 6249
diff changeset
  1030
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1031
    n := (anInteger digitLength) max:(self digitLength).
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1032
    result := self class basicNew numberOfDigits:n.
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1033
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1034
    1 to:n do:[:index |
3993
a5a09b2d36cd oops - bitXor: did not always compress the result.
Claus Gittinger <cg@exept.de>
parents: 3908
diff changeset
  1035
        byte := (anInteger digitAt:index) bitXor:(self digitAt:index).
a5a09b2d36cd oops - bitXor: did not always compress the result.
Claus Gittinger <cg@exept.de>
parents: 3908
diff changeset
  1036
        result digitAt:index put:byte.
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1037
    ].
3993
a5a09b2d36cd oops - bitXor: did not always compress the result.
Claus Gittinger <cg@exept.de>
parents: 3908
diff changeset
  1038
    (byte == 0 or:[n <= SmallInteger maxBytes]) ifTrue:[
a5a09b2d36cd oops - bitXor: did not always compress the result.
Claus Gittinger <cg@exept.de>
parents: 3908
diff changeset
  1039
        ^ result compressed
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1040
    ].
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1041
    ^ result
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1042
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1043
    "
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1044
     (16r112233445566778899 bitXor:16rFF                ) printStringRadix:16 '112233445566778866' 
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1045
     (16r112233445566778899 bitXor:16rFFFFFFFFFFFFFFFF00) printStringRadix:16 'EEDDCCBBAA99887799'
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1046
     (16r112233445566778899 bitXor:16rFF0000000000000000) printStringRadix:16 'EE2233445566778899'
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1047
     (16r112233445566778899 bitXor:16r112233445566778800) printStringRadix:16 
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1048
    "
1883
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  1049
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  1050
    "Modified: 5.11.1996 / 14:06:40 / cg"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1051
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1052
5210
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1053
changeBit:index to:aBooleanOrNumber
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1054
    "return a new number where the specified bit is on or off,
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1055
     sepending on aBooleanOrNumber.
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1056
     Bits are counted from 1 starting with the least significant.
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1057
     The methods name may be missleading: the receiver is not changed,
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1058
     but a new number is returned. Should be named #withBitChanged:to:"
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1059
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1060
    (aBooleanOrNumber == 0 or:[aBooleanOrNumber == false]) ifTrue:[
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1061
        ^ self bitClear:index
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1062
    ].
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1063
    ^ self setBit:index
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1064
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1065
    "
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1066
     0 changeBit:3 to:1         => 4 (2r100)
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1067
    "
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1068
!
f56e448396f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5209
diff changeset
  1069
3683
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1070
clearBit:index
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1071
    "return a new number where the specified bit is off.
5209
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1072
     Bits are counted from 1 starting with the least significant.
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1073
     The methods name may be missleading: the receiver is not changed,
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1074
     but a new number is returned. Should be named #withBitCleared:"
3683
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1075
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1076
    |n         "{ Class: SmallInteger }"
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1077
     byteIndex "{ Class: SmallInteger }"
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1078
     bitIndex "{ Class: SmallInteger }"
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1079
     result byte|
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1080
5496
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1081
    index <= 0 ifTrue:[
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1082
        ^ SubscriptOutOfBoundsSignal 
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1083
                raiseRequestWith:index
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1084
                errorString:'index out of bounds'
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1085
    ].
3683
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1086
    byteIndex := ((index - 1) // 8) + 1.
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1087
    n := self digitLength.
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1088
    byteIndex > n ifTrue:[
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1089
        ^ self
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1090
    ].
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1091
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1092
    result := self copy.
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1093
    bitIndex := ((index - 1) \\ 8) + 1.
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1094
    byte := (result digitAt:byteIndex) clearBit:bitIndex.
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1095
    result digitAt:byteIndex put:byte.
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1096
    (byte == 0 or:[n == byteIndex and:[n <= SmallInteger maxBytes]]) ifTrue:[
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1097
        ^ result compressed
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1098
    ].
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1099
    ^ result
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1100
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1101
    "
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1102
     3111111111 clearBit:1 
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1103
    "
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1104
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1105
    "Modified: / 28.7.1998 / 18:35:50 / cg"
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1106
!
2eac599d04c1 fixed clearBit:
Claus Gittinger <cg@exept.de>
parents: 3639
diff changeset
  1107
4278
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1108
even
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1109
    "return true if the receiver is even"
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1110
5435
ad6612cc6848 oops odd/even fallback was wrong
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1111
    ^ (self bitTest:1) not
4278
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1112
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1113
    "
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1114
     16r112233445566778899 even  
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1115
     16r112233445566778800 even  
5435
ad6612cc6848 oops odd/even fallback was wrong
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1116
     1 even  
ad6612cc6848 oops odd/even fallback was wrong
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1117
     2 even  
4278
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1118
    "
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1119
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1120
    "Created: / 6.6.1999 / 15:00:40 / cg"
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1121
!
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1122
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1123
highBit
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1124
    "return the bitIndex of the highest bit set. The returned bitIndex
6481
d5c94e93067c highBit now returns 0 if no bit is set.
Claus Gittinger <cg@exept.de>
parents: 6480
diff changeset
  1125
     starts at 1 for the least significant bit. 
d5c94e93067c highBit now returns 0 if no bit is set.
Claus Gittinger <cg@exept.de>
parents: 6480
diff changeset
  1126
     Returns 0 if no bit is set."
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1127
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1128
    |byteNr highByte|
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1129
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1130
    byteNr := self digitLength.
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1131
    byteNr == 0 ifTrue:[
6481
d5c94e93067c highBit now returns 0 if no bit is set.
Claus Gittinger <cg@exept.de>
parents: 6480
diff changeset
  1132
        ^ 0
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1133
    ].
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1134
    highByte := self digitAt:byteNr.
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1135
    ^ (byteNr - 1) * 8 + highByte highBit
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1136
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1137
    "
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1138
     0 highBit
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1139
     -1 highBit
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1140
     (1 bitShift:1) highBit     
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1141
     (1 bitShift:30) highBit    
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1142
     (1 bitShift:31) highBit    
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1143
     (1 bitShift:32) highBit    
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1144
     (1 bitShift:33) highBit    
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1145
     (1 bitShift:64) highBit     
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1146
     (1 bitShift:1000) highBit   
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1147
     (1 bitShift:1000) negated highBit   
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1148
     ((1 bitShift:64)-1) highBit  
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1149
    "
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1150
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1151
    "Modified: / 3.5.1999 / 09:20:57 / stefan"
2429
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1152
!
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1153
5496
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1154
invertBit:index
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1155
    "return a new number where the specified bit is inverted.
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1156
     Bits are counted from 1 starting with the least significant.
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1157
     The methods name may be missleading: the receiver is not changed,
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1158
     but a new number is returned. Should be named #withBitInverted:"
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1159
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1160
    index <= 0 ifTrue:[
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1161
        ^ SubscriptOutOfBoundsSignal 
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1162
                raiseRequestWith:index
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1163
                errorString:'index out of bounds'
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1164
    ].
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1165
    ^ self bitXor:(1 bitShift:index-1)
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1166
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1167
    "
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1168
     0 invertBit:3         => 4 (2r100)
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1169
     0 invertBit:48        => 140737488355328 (2r1000.....000)
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1170
     ((0 invertBit:99) invertBit:100) printStringRadix:2  
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1171
    "
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1172
!
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1173
5209
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1174
isBitSet:index
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1175
    "return true if the index' bit is set; false otherwise.
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1176
     Bits are counted from 1 starting with the least significant."
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1177
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1178
    ^ (self bitAt:index) ~~ 0
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1179
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1180
    "
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1181
     5 isBitSet:3       => true
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1182
     2r0101 isBitSet:2  => false
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1183
     2r0101 isBitSet:1  => true
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1184
     2r0101 isBitSet:0  index error
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1185
    "
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1186
!
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1187
2429
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1188
lowBit
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1189
    "return the bitIndex of the lowest bit set. The returned bitIndex
6480
4ff7f2af25fc lowBit now returns 0 if no bit is set.
Claus Gittinger <cg@exept.de>
parents: 6358
diff changeset
  1190
     starts at 1 for the least significant bit. 
4ff7f2af25fc lowBit now returns 0 if no bit is set.
Claus Gittinger <cg@exept.de>
parents: 6358
diff changeset
  1191
     Returns 0 if no bit is set."
2429
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1192
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1193
    |maxBytes "{ Class: SmallInteger }"
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1194
     bitIndex "{ Class: SmallInteger }" 
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1195
     byte|
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1196
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1197
    maxBytes := self digitLength.
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1198
    bitIndex := 0.
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1199
    1 to:maxBytes do:[:byteIndex |
6480
4ff7f2af25fc lowBit now returns 0 if no bit is set.
Claus Gittinger <cg@exept.de>
parents: 6358
diff changeset
  1200
        byte := self digitAt:byteIndex.
4ff7f2af25fc lowBit now returns 0 if no bit is set.
Claus Gittinger <cg@exept.de>
parents: 6358
diff changeset
  1201
        byte ~~ 0 ifTrue:[
4ff7f2af25fc lowBit now returns 0 if no bit is set.
Claus Gittinger <cg@exept.de>
parents: 6358
diff changeset
  1202
            ^ bitIndex + byte lowBit
4ff7f2af25fc lowBit now returns 0 if no bit is set.
Claus Gittinger <cg@exept.de>
parents: 6358
diff changeset
  1203
        ].
4ff7f2af25fc lowBit now returns 0 if no bit is set.
Claus Gittinger <cg@exept.de>
parents: 6358
diff changeset
  1204
        bitIndex := bitIndex + 8
2429
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1205
    ].
6480
4ff7f2af25fc lowBit now returns 0 if no bit is set.
Claus Gittinger <cg@exept.de>
parents: 6358
diff changeset
  1206
    ^ 0 "/ should not happen
2429
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1207
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1208
    "
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1209
     0 lowBit                  
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1210
     1 lowBit                  
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1211
     (1 bitShift:1) lowBit     
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1212
     (1 bitShift:1) highBit     
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1213
     (1 bitShift:30) lowBit    
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1214
     (1 bitShift:30) highBit    
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1215
     (1 bitShift:31) lowBit    
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1216
     (1 bitShift:31) highBit    
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1217
     (1 bitShift:32) lowBit    
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1218
     (1 bitShift:32) highBit    
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1219
     (1 bitShift:33) lowBit    
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1220
     (1 bitShift:33) highBit    
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1221
     (1 bitShift:64) lowBit     
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1222
     (1 bitShift:64) highBit     
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1223
     (1 bitShift:1000) lowBit   
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1224
     (1 bitShift:1000) highBit   
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1225
     ((1 bitShift:64)-1) lowBit  
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1226
     ((1 bitShift:64)-1) highBit  
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1227
    "
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1228
1aeeadaa162e added #lowBit
Claus Gittinger <cg@exept.de>
parents: 2428
diff changeset
  1229
    "Modified: 1.3.1997 / 16:54:23 / cg"
4278
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1230
!
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1231
4643
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1232
maskClear:aMask
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1233
    ^ self bitAnd:aMask bitInvert
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1234
!
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1235
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1236
maskSet:aMask
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1237
    ^ self bitOr:aMask
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1238
!
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1239
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1240
noMask:anInteger
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1241
    "return true if no 1-bit in anInteger is 1 in the receiver"
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1242
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1243
    ^ (self bitAnd:anInteger) == 0
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1244
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1245
    "2r00001111 noMask:2r00000001"
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1246
    "2r00001111 noMask:2r11110000"
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1247
!
48ee5b949c81 moved anyMask, allMask ... from SmallInteger.
Claus Gittinger <cg@exept.de>
parents: 4614
diff changeset
  1248
4278
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1249
odd
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1250
    "return true if the receiver is odd"
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1251
5435
ad6612cc6848 oops odd/even fallback was wrong
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1252
    ^ self bitTest:1
4278
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1253
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1254
    "
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1255
     16r112233445566778899 odd  
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1256
     16r112233445566778800 odd  
5435
ad6612cc6848 oops odd/even fallback was wrong
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1257
     1 odd  
ad6612cc6848 oops odd/even fallback was wrong
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1258
     2 odd  
4278
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1259
    "
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1260
78c34fcd9952 added #odd and #even for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 4169
diff changeset
  1261
    "Created: / 6.6.1999 / 15:00:55 / cg"
5209
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1262
!
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1263
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1264
setBit:index
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1265
    "return a new number where the specified bit is on.
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1266
     Bits are counted from 1 starting with the least significant.
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1267
     The methods name may be missleading: the receiver is not changed,
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1268
     but a new number is returned. Should be named #withBitCleared:"
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1269
5496
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1270
    index <= 0 ifTrue:[
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1271
        ^ SubscriptOutOfBoundsSignal 
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1272
                raiseRequestWith:index
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1273
                errorString:'index out of bounds'
338c81a04468 index bounds in bit operations;
Claus Gittinger <cg@exept.de>
parents: 5469
diff changeset
  1274
    ].
5209
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1275
    ^ self bitOr:(1 bitShift:index-1)
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1276
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1277
    "
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1278
     0 setBit:3         => 4 (2r100)
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1279
     0 setBit:48        => 140737488355328 (2r1000.....000)
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1280
     ((0 setBit:99) setBit:100) printStringRadix:2  
3a52e2f97ec4 setBit/clearBit.
Claus Gittinger <cg@exept.de>
parents: 5186
diff changeset
  1281
    "
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1282
! !
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1283
3890
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1284
!Integer methodsFor:'byte access'!
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1285
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1286
digitByteLength
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1287
    "return the number bytes required for a 2's complement
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1288
     binary representation of this Integer.
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1289
     For positive receivers, thats the same as the digitLength."
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1290
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1291
    "
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1292
     check if there is a 0-byte ...
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1293
     this allows to ask unnormalized LargeIntegers 
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1294
     for their digitLength
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1295
    "
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1296
    |l "{ Class: SmallInteger }" |
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1297
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1298
    self >= 0 ifTrue:[^ self digitLength].
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1299
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1300
    l := self negated digitLength.
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1301
    (self digitByteAt:l) == 16rFF ifTrue:[
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1302
        ^ (l - 1) max:1
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1303
    ].
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1304
    ^ l
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1305
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1306
    "
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1307
     -129 digitByteLength 
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1308
    "
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1309
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1310
    "Created: / 25.10.1998 / 14:58:09 / cg"
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1311
    "Modified: / 25.10.1998 / 19:20:33 / cg"
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1312
! !
a024811ed304 added #digitByteLength
Claus Gittinger <cg@exept.de>
parents: 3884
diff changeset
  1313
5238
f7a816a660a3 categories
Claus Gittinger <cg@exept.de>
parents: 5210
diff changeset
  1314
!Integer methodsFor:'coercing & converting'!
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1315
1888
463d49ca22e3 fixedPoint support
Claus Gittinger <cg@exept.de>
parents: 1883
diff changeset
  1316
asFixedPoint
463d49ca22e3 fixedPoint support
Claus Gittinger <cg@exept.de>
parents: 1883
diff changeset
  1317
    "return the receiver as a fixedPoint number"
463d49ca22e3 fixedPoint support
Claus Gittinger <cg@exept.de>
parents: 1883
diff changeset
  1318
463d49ca22e3 fixedPoint support
Claus Gittinger <cg@exept.de>
parents: 1883
diff changeset
  1319
    ^ FixedPoint numerator:self denominator:1 scale:1
463d49ca22e3 fixedPoint support
Claus Gittinger <cg@exept.de>
parents: 1883
diff changeset
  1320
463d49ca22e3 fixedPoint support
Claus Gittinger <cg@exept.de>
parents: 1883
diff changeset
  1321
    "
463d49ca22e3 fixedPoint support
Claus Gittinger <cg@exept.de>
parents: 1883
diff changeset
  1322
     100 asFixedPoint      
463d49ca22e3 fixedPoint support
Claus Gittinger <cg@exept.de>
parents: 1883
diff changeset
  1323
     100 asFixedPoint + 0.1 asFixedPoint    
463d49ca22e3 fixedPoint support
Claus Gittinger <cg@exept.de>
parents: 1883
diff changeset
  1324
    "
463d49ca22e3 fixedPoint support
Claus Gittinger <cg@exept.de>
parents: 1883
diff changeset
  1325
463d49ca22e3 fixedPoint support
Claus Gittinger <cg@exept.de>
parents: 1883
diff changeset
  1326
    "Modified: 5.11.1996 / 15:13:17 / cg"
463d49ca22e3 fixedPoint support
Claus Gittinger <cg@exept.de>
parents: 1883
diff changeset
  1327
!
463d49ca22e3 fixedPoint support
Claus Gittinger <cg@exept.de>
parents: 1883
diff changeset
  1328
2141
bba0027204fd added #asFixedPoint:
Claus Gittinger <cg@exept.de>
parents: 2133
diff changeset
  1329
asFixedPoint:scale
bba0027204fd added #asFixedPoint:
Claus Gittinger <cg@exept.de>
parents: 2133
diff changeset
  1330
    "return the receiver as fixedPoint number, with the given number
bba0027204fd added #asFixedPoint:
Claus Gittinger <cg@exept.de>
parents: 2133
diff changeset
  1331
     of post-decimal-point digits."
bba0027204fd added #asFixedPoint:
Claus Gittinger <cg@exept.de>
parents: 2133
diff changeset
  1332
bba0027204fd added #asFixedPoint:
Claus Gittinger <cg@exept.de>
parents: 2133
diff changeset
  1333
    ^ FixedPoint numerator:self denominator:1 scale:scale
bba0027204fd added #asFixedPoint:
Claus Gittinger <cg@exept.de>
parents: 2133
diff changeset
  1334
bba0027204fd added #asFixedPoint:
Claus Gittinger <cg@exept.de>
parents: 2133
diff changeset
  1335
    "
bba0027204fd added #asFixedPoint:
Claus Gittinger <cg@exept.de>
parents: 2133
diff changeset
  1336
     100 asFixedPoint:2      
bba0027204fd added #asFixedPoint:
Claus Gittinger <cg@exept.de>
parents: 2133
diff changeset
  1337
     100 asFixedPoint + (0.1 asFixedPoint:2)    
bba0027204fd added #asFixedPoint:
Claus Gittinger <cg@exept.de>
parents: 2133
diff changeset
  1338
    "
bba0027204fd added #asFixedPoint:
Claus Gittinger <cg@exept.de>
parents: 2133
diff changeset
  1339
bba0027204fd added #asFixedPoint:
Claus Gittinger <cg@exept.de>
parents: 2133
diff changeset
  1340
    "Modified: 10.1.1997 / 20:00:08 / cg"
bba0027204fd added #asFixedPoint:
Claus Gittinger <cg@exept.de>
parents: 2133
diff changeset
  1341
!
bba0027204fd added #asFixedPoint:
Claus Gittinger <cg@exept.de>
parents: 2133
diff changeset
  1342
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1343
asFraction
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1344
    "return a Fraction with same value as receiver"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1345
2794
862ee34a4821 when coercing an integer, do not reduce the result.
Claus Gittinger <cg@exept.de>
parents: 2793
diff changeset
  1346
    ^ Fraction basicNew setNumerator:self denominator:1
862ee34a4821 when coercing an integer, do not reduce the result.
Claus Gittinger <cg@exept.de>
parents: 2793
diff changeset
  1347
862ee34a4821 when coercing an integer, do not reduce the result.
Claus Gittinger <cg@exept.de>
parents: 2793
diff changeset
  1348
    "Modified: 28.7.1997 / 19:26:06 / cg"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1349
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1350
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1351
asInteger
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1352
    "return the receiver truncated towards zero - 
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1353
     for integers this is self"
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1354
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1355
    ^ self
1337
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1356
!
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1357
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1358
asModuloNumber
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1359
    "return a precomputed modulo number"
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1360
4801
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1361
    ^ ModuloNumber modulus:self.
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1362
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1363
    "Created: / 3.5.1999 / 14:48:03 / stefan"
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1364
!
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1365
1337
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1366
signExtendedByteValue
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1367
    "return a smallInteger from sign-extending the 8'th bit.
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1368
     May be useful for communication interfaces"
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1369
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1370
    ^ (self bitAnd:16rFF) signExtendedByteValue
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1371
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1372
    "Created: 7.5.1996 / 09:31:52 / cg"
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1373
!
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1374
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1375
signExtendedShortValue
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1376
    "return a smallInteger from sign-extending the 16'th bit.
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1377
     May be useful for communication interfaces"
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1378
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1379
    ^ (self bitAnd:16rFFFF) signExtendedShortValue
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1380
e5e00eecd4c9 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1295
diff changeset
  1381
    "Modified: 7.5.1996 / 09:31:57 / cg"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1382
! !
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1383
1976
f6e7094cd3e4 Integer>>hash returns a value clamped to the SmallInteger range
Claus Gittinger <cg@exept.de>
parents: 1893
diff changeset
  1384
!Integer methodsFor:'comparing'!
f6e7094cd3e4 Integer>>hash returns a value clamped to the SmallInteger range
Claus Gittinger <cg@exept.de>
parents: 1893
diff changeset
  1385
f6e7094cd3e4 Integer>>hash returns a value clamped to the SmallInteger range
Claus Gittinger <cg@exept.de>
parents: 1893
diff changeset
  1386
hash
f6e7094cd3e4 Integer>>hash returns a value clamped to the SmallInteger range
Claus Gittinger <cg@exept.de>
parents: 1893
diff changeset
  1387
    "redefined to return smallInteger hashValues"
f6e7094cd3e4 Integer>>hash returns a value clamped to the SmallInteger range
Claus Gittinger <cg@exept.de>
parents: 1893
diff changeset
  1388
3298
bf837fee7a15 Do not return negative hash values.
Stefan Vogel <sv@exept.de>
parents: 3188
diff changeset
  1389
    ^ self bitAnd:16r3FFFFFFF.
1976
f6e7094cd3e4 Integer>>hash returns a value clamped to the SmallInteger range
Claus Gittinger <cg@exept.de>
parents: 1893
diff changeset
  1390
3298
bf837fee7a15 Do not return negative hash values.
Stefan Vogel <sv@exept.de>
parents: 3188
diff changeset
  1391
    "
bf837fee7a15 Do not return negative hash values.
Stefan Vogel <sv@exept.de>
parents: 3188
diff changeset
  1392
        -20000000000000 hash 
bf837fee7a15 Do not return negative hash values.
Stefan Vogel <sv@exept.de>
parents: 3188
diff changeset
  1393
         20000000000000 hash
bf837fee7a15 Do not return negative hash values.
Stefan Vogel <sv@exept.de>
parents: 3188
diff changeset
  1394
    "
1976
f6e7094cd3e4 Integer>>hash returns a value clamped to the SmallInteger range
Claus Gittinger <cg@exept.de>
parents: 1893
diff changeset
  1395
3298
bf837fee7a15 Do not return negative hash values.
Stefan Vogel <sv@exept.de>
parents: 3188
diff changeset
  1396
    "Created: / 14.11.1996 / 12:12:27 / cg"
bf837fee7a15 Do not return negative hash values.
Stefan Vogel <sv@exept.de>
parents: 3188
diff changeset
  1397
    "Modified: / 24.2.1998 / 10:07:29 / stefan"
1976
f6e7094cd3e4 Integer>>hash returns a value clamped to the SmallInteger range
Claus Gittinger <cg@exept.de>
parents: 1893
diff changeset
  1398
! !
f6e7094cd3e4 Integer>>hash returns a value clamped to the SmallInteger range
Claus Gittinger <cg@exept.de>
parents: 1893
diff changeset
  1399
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1400
!Integer methodsFor:'double dispatching'!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1401
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1402
differenceFromFraction:aFraction
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1403
    "sent when a fraction does not know how to subtract the receiver, an integer"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1404
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1405
    |d|
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1406
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1407
    d := aFraction denominator.
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1408
    ^ (Fraction numerator:(aFraction numerator - (self * d))
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  1409
	      denominator:d)
2793
e40dedf51177 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2745
diff changeset
  1410
e40dedf51177 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2745
diff changeset
  1411
    "Modified: 28.7.1997 / 19:08:30 / cg"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1412
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1413
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1414
productFromFraction:aFraction
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1415
    "sent when a fraction does not know how to multiply the receiver, an integer"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1416
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1417
    ^ (Fraction numerator:(self * aFraction numerator)
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  1418
	      denominator:aFraction denominator)
2793
e40dedf51177 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2745
diff changeset
  1419
e40dedf51177 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2745
diff changeset
  1420
    "Modified: 28.7.1997 / 19:08:27 / cg"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1421
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1422
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1423
quotientFromFraction:aFraction
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1424
    "sent when a fraction does not know how to divide the receiver, an integer"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1425
2793
e40dedf51177 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2745
diff changeset
  1426
    ^ Fraction 
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  1427
	numerator:aFraction numerator
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  1428
	denominator:(self * aFraction denominator)
2793
e40dedf51177 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2745
diff changeset
  1429
e40dedf51177 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2745
diff changeset
  1430
    "Modified: 28.7.1997 / 19:08:23 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1431
!
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1432
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1433
sumFromFraction:aFraction
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1434
    "sent when a fraction does not know how to add the receiver, an integer"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1435
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1436
    |d|
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1437
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1438
    d := aFraction denominator.
2793
e40dedf51177 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2745
diff changeset
  1439
    ^ Fraction numerator:(aFraction numerator + (self * d))
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  1440
	      denominator:d
2793
e40dedf51177 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2745
diff changeset
  1441
e40dedf51177 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2745
diff changeset
  1442
    "Modified: 28.7.1997 / 19:08:11 / cg"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1443
! !
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1444
5469
8aca7ce5626f General encoding method (#encodeOn:with:)
Stefan Vogel <sv@exept.de>
parents: 5435
diff changeset
  1445
!Integer methodsFor:'encoding'!
8aca7ce5626f General encoding method (#encodeOn:with:)
Stefan Vogel <sv@exept.de>
parents: 5435
diff changeset
  1446
8aca7ce5626f General encoding method (#encodeOn:with:)
Stefan Vogel <sv@exept.de>
parents: 5435
diff changeset
  1447
encodeOn:anEncoder with:aParameter
8aca7ce5626f General encoding method (#encodeOn:with:)
Stefan Vogel <sv@exept.de>
parents: 5435
diff changeset
  1448
8aca7ce5626f General encoding method (#encodeOn:with:)
Stefan Vogel <sv@exept.de>
parents: 5435
diff changeset
  1449
    anEncoder encodeInteger:self with:aParameter
8aca7ce5626f General encoding method (#encodeOn:with:)
Stefan Vogel <sv@exept.de>
parents: 5435
diff changeset
  1450
8aca7ce5626f General encoding method (#encodeOn:with:)
Stefan Vogel <sv@exept.de>
parents: 5435
diff changeset
  1451
8aca7ce5626f General encoding method (#encodeOn:with:)
Stefan Vogel <sv@exept.de>
parents: 5435
diff changeset
  1452
! !
8aca7ce5626f General encoding method (#encodeOn:with:)
Stefan Vogel <sv@exept.de>
parents: 5435
diff changeset
  1453
2428
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1454
!Integer methodsFor:'helpers'!
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1455
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1456
gcd_helper:anInteger 
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1457
    "a helper for the greatest common divisor of the receiver and anInteger.
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1458
     Knuth's algorithm for large positive integers, with receiver being
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1459
     larger than the arg."
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1460
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1461
    | selfAbs argAbs selfLowBit argLowBit shift t |
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1462
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1463
    selfAbs := self.
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1464
    argAbs := anInteger.
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1465
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1466
    selfLowBit := selfAbs lowBit - 1.
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1467
    argLowBit := argAbs lowBit - 1.
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1468
    shift := selfLowBit min:argLowBit.
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1469
    argAbs := argAbs bitShift:(argLowBit negated).
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1470
    [selfAbs = 0] whileFalse:[
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  1471
	selfAbs := selfAbs bitShift:(selfLowBit negated).
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  1472
	selfAbs < argAbs ifTrue:[
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  1473
	    t := selfAbs. selfAbs := argAbs. argAbs := t
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  1474
	].
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  1475
	selfAbs := selfAbs - argAbs.
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  1476
	selfLowBit := selfAbs lowBit - 1.
2428
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1477
    ].
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1478
    ^ argAbs bitShift:shift
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1479
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1480
    "Created: 1.3.1997 / 16:38:17 / cg"
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1481
    "Modified: 1.3.1997 / 16:45:17 / cg"
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1482
! !
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1483
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1484
!Integer methodsFor:'misc math'!
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1485
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1486
acker:n
1560
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1487
    "return the value of acker(self, n).
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1488
      ;-) Do not try with receivers > 3"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1489
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1490
    (self == 0) ifTrue:[^ n + 1].
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1491
    (n == 0) ifTrue:[^ (self - 1) acker: 1].
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1492
    ^ (self - 1) acker:(self acker:(n - 1))
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1493
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1494
    "
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1495
     3 acker:2  
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1496
    "
1560
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1497
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1498
    "Modified: 18.7.1996 / 13:08:16 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1499
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1500
1842
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1501
divMod:aNumber
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1502
    "return an array filled with self // aNumber and
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1503
     self \\ aNumber. 
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1504
     The result is only defined for positive receiver and argument.
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1505
     This may be redefined in some integer classes for
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1506
     more performance (where the remainder is generated as a side effect of division)"
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1507
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1508
    ^ Array
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  1509
	with:(self // aNumber)
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  1510
	with:(self \\ aNumber)
1842
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1511
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1512
    "  
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1513
     10 divMod:3  
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1514
     100 factorial divMod:103
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1515
    "
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1516
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1517
    "Modified: 29.10.1996 / 21:18:58 / cg"
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1518
!
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1519
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1520
extendedEuclid:tb
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1521
    "return the solution of 'ax + by = gcd(a,b)'.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1522
     An array conatining x, y and gcd(a,b) is returned."
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1523
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1524
    |a b gcd gcd1 u u1 v v1 tmp t swap shift "{SmallInteger}"|
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1525
5001
732ea614d36d Comments for #inverseMod: and #extendedEuclid:
Stefan Vogel <sv@exept.de>
parents: 4996
diff changeset
  1526
    self < tb ifTrue:[
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1527
        a := self.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1528
        b := tb.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1529
        swap := false.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1530
    ] ifFalse:[
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1531
        a := tb.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1532
        b := self.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1533
        swap := true.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1534
    ].
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1535
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1536
    shift := ((a lowBit) min:(b lowBit))-1.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1537
    shift > 0 ifTrue:[
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1538
        tmp := shift negated.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1539
        a := a bitShift:tmp.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1540
        b := b bitShift:tmp.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1541
    ].
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1542
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1543
    gcd  := a copy.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1544
    gcd1 := b copy.        
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1545
    u := 1.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1546
    u1 := 0.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1547
    v := 0.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1548
    v1 := 1.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1549
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1550
    [
5001
732ea614d36d Comments for #inverseMod: and #extendedEuclid:
Stefan Vogel <sv@exept.de>
parents: 4996
diff changeset
  1551
"/      The following condition is true:
732ea614d36d Comments for #inverseMod: and #extendedEuclid:
Stefan Vogel <sv@exept.de>
parents: 4996
diff changeset
  1552
"/        (a * u1) + (b * v1) ~= gcd1 ifTrue:[self halt].
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1553
        t := gcd1 divMod:gcd.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1554
        gcd1 := gcd.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1555
        gcd := t at:2.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1556
        t := t at:1.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1557
        tmp := v.
5003
304be9a3a226 Add some debug in #extendedEuclid:
Stefan Vogel <sv@exept.de>
parents: 5001
diff changeset
  1558
"/v1 - (v * t) - v1 + (v * t) ~= 0 ifTrue:[self halt].
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1559
        v := v1 - (v * t).
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1560
        v1 := tmp.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1561
        tmp := u.
5003
304be9a3a226 Add some debug in #extendedEuclid:
Stefan Vogel <sv@exept.de>
parents: 5001
diff changeset
  1562
"/u1 - (u * t) - u1 + (u * t) ~= 0 ifTrue:[self halt].
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1563
        u := u1 - (u * t).
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1564
        u1 := tmp.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1565
    ] doWhile:[gcd > 0].
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1566
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1567
    shift > 0 ifTrue:[
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1568
        gcd1 := gcd1 bitShift:shift.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1569
    ].
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1570
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1571
    swap ifTrue:[
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1572
        ^ Array with:v1 with:u1 with:gcd1.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1573
    ].
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1574
    ^ Array with:u1 with:v1 with:gcd1.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1575
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1576
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1577
    " 
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1578
     14 extendedEuclid:5
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1579
     14 extendedEuclid:2  
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1580
     25 extendedEuclid:15
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1581
    "
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1582
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1583
    "Created: / 27.4.1999 / 15:19:22 / stefan"
5001
732ea614d36d Comments for #inverseMod: and #extendedEuclid:
Stefan Vogel <sv@exept.de>
parents: 4996
diff changeset
  1584
    "Modified: / 18.11.1999 / 16:19:24 / stefan"
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1585
!
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1586
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1587
factorial
1560
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1588
    "return fac(self) (i.e. 1*2*3...*self) using an iterative algorithm.
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1589
     This is slightly faster than the recursive algorithm, and does not
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1590
     suffer from stack overflow problems (with big receivers)"
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1591
2745
bdf76e380d27 errorString to DomainError
Claus Gittinger <cg@exept.de>
parents: 2458
diff changeset
  1592
    |p i|
1560
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1593
1842
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1594
    (self < 2) ifTrue:[
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6055
diff changeset
  1595
        self < 0 ifTrue:[
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6055
diff changeset
  1596
            "/
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6055
diff changeset
  1597
            "/ requested factorial of a negative number
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6055
diff changeset
  1598
            "/
3395
02f47135d80f pass messageSend as parameter to domainError exception
Claus Gittinger <cg@exept.de>
parents: 3374
diff changeset
  1599
            ^ self class
02f47135d80f pass messageSend as parameter to domainError exception
Claus Gittinger <cg@exept.de>
parents: 3374
diff changeset
  1600
                raise:#domainErrorSignal
02f47135d80f pass messageSend as parameter to domainError exception
Claus Gittinger <cg@exept.de>
parents: 3374
diff changeset
  1601
                receiver:self
02f47135d80f pass messageSend as parameter to domainError exception
Claus Gittinger <cg@exept.de>
parents: 3374
diff changeset
  1602
                selector:#factorial
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6055
diff changeset
  1603
                arguments:#()
3395
02f47135d80f pass messageSend as parameter to domainError exception
Claus Gittinger <cg@exept.de>
parents: 3374
diff changeset
  1604
                errorString:'factorial of negative number'
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6055
diff changeset
  1605
        ].
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6055
diff changeset
  1606
        ^ 1
1842
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1607
    ].
1560
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1608
    p := 2.
2745
bdf76e380d27 errorString to DomainError
Claus Gittinger <cg@exept.de>
parents: 2458
diff changeset
  1609
    i := 3.
bdf76e380d27 errorString to DomainError
Claus Gittinger <cg@exept.de>
parents: 2458
diff changeset
  1610
    [i <= self] whileTrue:[
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6055
diff changeset
  1611
        p := p * i.
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6055
diff changeset
  1612
        i := i + 1.
1560
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1613
    ].
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1614
    ^ p
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1615
1842
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  1616
    "  
1560
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1617
     10 factorial
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1618
     1000 factorial
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1619
     10000 factorial
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1620
     10000 factorialR
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1621
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1622
     Time millisecondsToRun:[2000 factorial] 
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1623
     Time millisecondsToRun:[2000 factorialR] 
2745
bdf76e380d27 errorString to DomainError
Claus Gittinger <cg@exept.de>
parents: 2458
diff changeset
  1624
     -1 factorial
1560
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1625
    "
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1626
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6055
diff changeset
  1627
    "Modified: / 16.11.2001 / 14:14:55 / cg"
1560
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1628
!
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1629
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1630
factorialR
3908
b893f399f517 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 3890
diff changeset
  1631
    "return fac(self) (i.e. 1*2*3...*self) using a recursive algorithm.
b893f399f517 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 3890
diff changeset
  1632
     This is included to demonstration purposes - if you really need
b893f399f517 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 3890
diff changeset
  1633
     factorial numbers, use the iterative #factorial, which is slightly
b893f399f517 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 3890
diff changeset
  1634
     faster and does not suffer from stack overflow problems (with big receivers)."
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1635
356
claus
parents: 345
diff changeset
  1636
    (self >= 2) ifTrue:[
3908
b893f399f517 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 3890
diff changeset
  1637
        ^ self * (self - 1) factorialR
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1638
    ].
356
claus
parents: 345
diff changeset
  1639
    ^ 1
212
3edd10edefaf *** empty log message ***
claus
parents: 202
diff changeset
  1640
3edd10edefaf *** empty log message ***
claus
parents: 202
diff changeset
  1641
    "
1560
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1642
     10 factorialR
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1643
     1000 factorialR
4158
e04b61500e51 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4151
diff changeset
  1644
     Time millisecondsToRun:[10000 factorial]
212
3edd10edefaf *** empty log message ***
claus
parents: 202
diff changeset
  1645
    "
1560
f5ffcc5c3834 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1559
diff changeset
  1646
3908
b893f399f517 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 3890
diff changeset
  1647
    "Created: / 18.7.1996 / 12:48:36 / cg"
4158
e04b61500e51 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4151
diff changeset
  1648
    "Modified: / 8.5.1999 / 18:40:13 / cg"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1649
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1650
3162
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1651
fib
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1652
    "compute the fibionacci number for the receiver.
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1653
     (same result as returned by #recursiveFib.
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1654
      This method shows how a changed algorithm can
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1655
      change things much more drastic than tuning ...
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1656
      ... compare 30 recursiveFib with 30 fib;
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1657
      and dont even try 60 recursiveFib)"
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1658
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1659
    |a1 a2 an|
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1660
3162
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1661
    a1 := 1.
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1662
    a2 := 0.
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1663
    an := 0.
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1664
    self timesRepeat:[
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1665
	an := a1 + a2.
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1666
	a2 := a1.
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1667
	a1 := an
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1668
    ].
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1669
    ^ an
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1670
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1671
    "
1422
9a0b792f2953 showCr: -> showCR:
Claus Gittinger <cg@exept.de>
parents: 1407
diff changeset
  1672
     Transcript showCR:(Time millisecondsToRun:[30 fib]) 
3162
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1673
     Transcript showCR:(Time millisecondsToRun:[30 recursiveFib]) 
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1674
     Transcript showCR:(Time millisecondsToRun:[60 fib])
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1675
     Transcript showCR:(Time millisecondsToRun:[200 fib])
c7c8af356ff2 dont hardcode the numberof bytes (use maxBytes for alpha);
Claus Gittinger <cg@exept.de>
parents: 3138
diff changeset
  1676
     Transcript showCR:(Time millisecondsToRun:[1500 fib])
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1677
    "
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1678
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1679
2428
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1680
gcd:anInteger 
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1681
    "return the greatest common divisor of the receiver and anInteger.
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1682
     Euclids & Knuths algorithm."
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1683
3060
0faf242e1142 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3044
diff changeset
  1684
    |selfAbs argAbs t|
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1685
2428
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1686
    selfAbs := self abs.
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1687
    argAbs := anInteger abs.
1888
463d49ca22e3 fixedPoint support
Claus Gittinger <cg@exept.de>
parents: 1883
diff changeset
  1688
2428
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1689
    selfAbs < argAbs ifTrue:[
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  1690
	t := selfAbs.
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  1691
	selfAbs := argAbs.
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  1692
	argAbs := t.
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1693
    ].
52
cf23b8901602 *** empty log message ***
claus
parents: 49
diff changeset
  1694
2428
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1695
    argAbs = 0 ifTrue: [^ selfAbs].
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1696
    selfAbs := selfAbs \\ argAbs.
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1697
    selfAbs = 0 ifTrue:[^ argAbs].
d54efc515824 better gcd for large integers
Claus Gittinger <cg@exept.de>
parents: 2408
diff changeset
  1698
    ^ argAbs gcd_helper:selfAbs
1883
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  1699
3060
0faf242e1142 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3044
diff changeset
  1700
    "                     
0faf242e1142 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3044
diff changeset
  1701
     3141589999999999 gcd:1000000000000000
0faf242e1142 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3044
diff changeset
  1702
    "
0faf242e1142 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3044
diff changeset
  1703
0faf242e1142 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3044
diff changeset
  1704
    "Modified: / 25.10.1997 / 16:08:45 / cg"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1705
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1706
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1707
integerReciprocal
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1708
    "return an integer representing 1/self * 2**n.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1709
     Where an integer is one bit longer than self."
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1710
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1711
    |b rem result|                                   
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1712
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1713
    b := self highBit.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1714
    rem := 1 bitShift:b.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1715
    result := 0 asLargeInteger numberOfDigits:(b // 8)+1.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1716
    b := b+1.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1717
    [b > 0] whileTrue:[
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1718
        rem >= self ifTrue:[
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1719
            rem := rem -= self.
4830
879f09ec443a Renamed #digits --> #digitBytes.
Claus Gittinger <cg@exept.de>
parents: 4803
diff changeset
  1720
            result digitBytes bitSetAt:b.
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1721
        ].
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1722
        rem := rem mul2.               
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1723
        b := b - 1.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1724
    ].
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1725
    ^ result compressed.          
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1726
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1727
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1728
    "                                     
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1729
     333 integerReciprocal                (2 raisedTo:18) // 333
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1730
     393 integerReciprocal          
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1731
     8 integerReciprocal              
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1732
     15 integerReciprocal 
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1733
     15112233445566 integerReciprocal 
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1734
     10239552311579 integerReciprocal
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1735
   "
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1736
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1737
    "Modified: / 3.5.1999 / 14:27:18 / stefan"
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1738
!
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1739
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1740
inverseMod:n
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1741
    "find the modular inverse for myself to n.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1742
     This is defined as the solution of: '1 = (self * x) mod n"
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1743
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1744
    |e ret|
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1745
5001
732ea614d36d Comments for #inverseMod: and #extendedEuclid:
Stefan Vogel <sv@exept.de>
parents: 4996
diff changeset
  1746
    "the following expression returns #(x y (self gcd:n)), the solution of the equation
732ea614d36d Comments for #inverseMod: and #extendedEuclid:
Stefan Vogel <sv@exept.de>
parents: 4996
diff changeset
  1747
     (self * x) + (n * y) = self gcd:n"
732ea614d36d Comments for #inverseMod: and #extendedEuclid:
Stefan Vogel <sv@exept.de>
parents: 4996
diff changeset
  1748
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1749
    e := self extendedEuclid:n.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1750
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1751
    (e at:3) == 1 ifTrue:[
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1752
        ret := e at:1.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1753
        ret negative ifTrue:[
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1754
            ^ ret + n
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1755
        ].
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1756
        ^ ret.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1757
    ].
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1758
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1759
    ^ 0
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1760
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1761
    "
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1762
     14 inverseMod:5      -> 4
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1763
     5 inverseMod:14      -> 3
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1764
     14 inverseMod:11     -> 4                (4 * 14) \\ 11 
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1765
     11 inverseMod:14     -> 9                (9 * 11) \\ 14 
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1766
     79 inverseMod:3220   -> 1019
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1767
     3220 inverseMod:79   -> 54               (54 * 3220) \\ 79
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1768
     1234567891 inverseMod:1111111111119          
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1769
                          -> 148726663534     (148726663534*1234567891) \\ 1111111111119
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1770
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1771
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1772
     14 extendedEuclid:11 
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1773
     5 extendedEuclid:14 
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1774
     14 extendedEuclid:2
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1775
     3220 extendedEuclid:79    
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1776
    "
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1777
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1778
    "Created: / 27.4.1999 / 15:19:22 / stefan"
5001
732ea614d36d Comments for #inverseMod: and #extendedEuclid:
Stefan Vogel <sv@exept.de>
parents: 4996
diff changeset
  1779
    "Modified: / 18.11.1999 / 16:21:37 / stefan"
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1780
!
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1781
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  1782
lcm:anInteger
52
cf23b8901602 *** empty log message ***
claus
parents: 49
diff changeset
  1783
    "return the least common multiple (using gcd:)"
cf23b8901602 *** empty log message ***
claus
parents: 49
diff changeset
  1784
cf23b8901602 *** empty log message ***
claus
parents: 49
diff changeset
  1785
    ^ (self * anInteger) abs // (self gcd: anInteger)
cf23b8901602 *** empty log message ***
claus
parents: 49
diff changeset
  1786
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  1787
    "
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  1788
     65 lcm:15
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  1789
     3 lcm:15
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  1790
    "
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  1791
!
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  1792
4973
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1793
raisedTo:exp mod:mod
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1794
    "return the modulu (remainder) of 
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1795
     the receiver raised to exp (an Integer) and mod (another Integer)"
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1796
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1797
    |result m t 
5816
ce15ce5294b4 Cleanup unused method vars
Stefan Vogel <sv@exept.de>
parents: 5799
diff changeset
  1798
"/     eI   "{Class: SmallInteger}"
ce15ce5294b4 Cleanup unused method vars
Stefan Vogel <sv@exept.de>
parents: 5799
diff changeset
  1799
     bits "{Class: SmallInteger}"|
4973
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1800
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1801
    "use the addition chaining algorithm"
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1802
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1803
    exp negative ifTrue:[
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1804
        ^ self class
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1805
            raise:#domainErrorSignal
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1806
            receiver:self
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1807
            selector:#raisedTo:mod:
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6055
diff changeset
  1808
            arguments:(Array with:exp with:mod)
4973
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1809
            errorString:'modulo arithmethic with negative exponent'
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1810
    ].
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1811
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1812
    m := mod asModuloNumber.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1813
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1814
    result := 1.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1815
    t := m modulusOf:self.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1816
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1817
    "/ to be validated ...
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1818
"/    (exp class == SmallInteger) ifTrue:[
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1819
"/        eI := exp.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1820
"/        [eI ~~ 0] whileTrue:[
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1821
"/            [(eI bitAnd:1) == 0] whileTrue:[
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1822
"/                eI := eI bitShift:-1.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1823
"/                t := m modulusOf:(t * t).
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1824
"/            ].
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1825
"/            eI := eI - 1.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1826
"/            result := m modulusOf:(result * t).
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1827
"/        ].
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1828
"/    ] ifFalse:[
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1829
        bits := exp highBit.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1830
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1831
        1 to:bits do:[:i|
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1832
            (exp bitAt:i) == 1 ifTrue:[
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1833
                result := m modulusOf:(result * t).
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1834
            ].
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1835
            t := m modulusOf:(t * t).
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1836
        ].
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1837
"/    ].
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1838
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1839
    ^ result
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1840
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1841
    "                                       
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1842
     2 raisedTo:2 mod:3  
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1843
      20000000000000 raisedTo:200 mod:190  ->  30
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1844
     (20000000000000 raisedTo:200) \\ 190 
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1845
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1846
      Time millisecondsToRun:[100 timesRepeat:[
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1847
                                20000000000000 raisedTo:200 mod:190
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1848
                              ]
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1849
                             ]      
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1850
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1851
     Time millisecondsToRun:[100 timesRepeat:[
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1852
                                (20000000000000 raisedTo:200) \\ 190
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1853
                             ]
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1854
                            ]    
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1855
    "
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1856
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1857
    "Created: / 27.4.1999 / 15:19:22 / stefan"
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1858
    "Modified: / 5.5.1999 / 11:18:20 / stefan"
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6055
diff changeset
  1859
    "Modified: / 16.11.2001 / 14:15:21 / cg"
4973
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1860
!
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1861
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1862
raisedToCrtModP:p q:q ep:ep eq:eq u:u
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1863
    "Application of the Chinese Remainder Theorem (CRT).
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1864
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1865
     This is a faster modexp for moduli with a known factorisation into two
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1866
     relatively prime factors p and q, and an input relatively prime to the
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1867
     modulus, the Chinese Remainder Theorem to do the computation mod p and
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1868
     mod q, and then combine the results.  This relies on a number of
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1869
     precomputed values, but does not actually require the modulus n or the
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1870
     exponent e.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1871
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1872
     expout = expin ^ e mod (p*q).
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1873
     We form this by evaluating
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1874
     p2 = (expin ^ e) mod p and
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1875
     q2 = (expin ^ e) mod q
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1876
     and then combining the two by the CRT.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1877
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1878
     Two optimisations of this are possible.  First, we can reduce expin
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1879
     modulo p and q before starting.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1880
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1881
     Second, since we know the factorisation of p and q (trivially derived
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1882
     from the factorisation of n = p*q), and expin is relatively prime to
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1883
     both p and q, we can use Euler's theorem, expin^phi(m) = 1 (mod m),
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1884
     to throw away multiples of phi(p) or phi(q) in e.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1885
     Letting ep = e mod phi(p) and
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1886
              eq = e mod phi(q)
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1887
     then combining these two speedups, we only need to evaluate
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1888
     p2 = ((expin mod p) ^ ep) mod p and
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1889
     q2 = ((expin mod q) ^ eq) mod q.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1890
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1891
     Now we need to apply the CRT.  Starting with
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1892
     expout = p2 (mod p) and
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1893
     expout = q2 (mod q)
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1894
     we can say that expout = p2 + p * k, and if we assume that 0 <= p2 < p,
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1895
     then 0 <= expout < p*q for some 0 <= k < q.  Since we want expout = q2
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1896
     (mod q), then p*k = q2-p2 (mod q).  Since p and q are relatively prime,
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1897
     p has a multiplicative inverse u mod q.  In other words, u = 1/p (mod q).
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1898
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1899
     Multiplying by u on both sides gives k = u*(q2-p2) (mod q).
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1900
     Since we want 0 <= k < q, we can thus find k as
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1901
     k = (u * (q2-p2)) mod q.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1902
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1903
     Once we have k, evaluating p2 + p * k is easy, and
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1904
     that gives us the result
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1905
    "  
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1906
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1907
    |result t mp mq|
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1908
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1909
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1910
    mp := p asModuloNumber.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1911
    t := mp modulusOf:self.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1912
    result := t raisedTo:ep mod:mp.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1913
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1914
    mq := q asModuloNumber.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1915
    t := mq modulusOf:self.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1916
    t := t raisedTo:eq mod:mq.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1917
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1918
    "now p2 is in result, q2 in t"
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1919
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1920
    t := t -= result.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1921
    t < 0 ifTrue:[
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1922
        t := t + q.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1923
    ].
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1924
    t := t *= u.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1925
    t := mq modulusOf:t.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1926
    t := t *= p.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1927
    result := result += t.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1928
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1929
    ^ result.
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1930
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1931
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1932
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1933
    "                                       
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1934
     2 raisedTo:2 mod:3
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1935
      20000000000000 raisedTo:200 mod:190
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1936
     (20000000000000 raisedTo:200) \\ 190
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1937
    "
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1938
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1939
    "Created: / 30.4.1999 / 15:53:15 / stefan"
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1940
    "Modified: / 5.5.1999 / 11:01:15 / stefan"
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1941
!
2bbd09250179 Fix CRT
Stefan Vogel <sv@exept.de>
parents: 4972
diff changeset
  1942
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1943
raisedToInteger:exp 
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1944
    "return the receiver raised to exp"
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1945
5816
ce15ce5294b4 Cleanup unused method vars
Stefan Vogel <sv@exept.de>
parents: 5799
diff changeset
  1946
    |result e t 
ce15ce5294b4 Cleanup unused method vars
Stefan Vogel <sv@exept.de>
parents: 5799
diff changeset
  1947
"/     bits "{SmallInteger}"
ce15ce5294b4 Cleanup unused method vars
Stefan Vogel <sv@exept.de>
parents: 5799
diff changeset
  1948
    |
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1949
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1950
    "use the addition chaining algorithm"
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1951
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1952
    result := 1.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1953
    t := self.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1954
    exp < 0 ifTrue:[
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1955
        e := exp negated.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1956
    ] ifFalse:[
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1957
        e := exp.
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1958
    ].
4918
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  1959
4952
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1960
    [e ~~ 0] whileTrue:[
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1961
        [(e bitAnd:1) == 0] whileTrue:[
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1962
            e := e bitShift:-1.
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1963
            t := t * t.
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1964
        ].
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1965
        e := e - 1.
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1966
        result := result * t.
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1967
    ].
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1968
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1969
"/ the new algorithm above is somewhat faster (15%)
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1970
"/
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1971
"/    bits := e highBit.
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1972
"/
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1973
"/    1 to:bits do:[:i|
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1974
"/        (e bitAt:i) == 1 ifTrue:[
4918
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  1975
"/            result := result * t.
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  1976
"/        ].
4952
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1977
"/        t := t * t.
4918
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  1978
"/    ].
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1979
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1980
    (exp < 0) ifTrue:[
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1981
        ^ 1 / result
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1982
    ].
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1983
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1984
    ^ result
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1985
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1986
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  1987
    "
4952
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1988
     (2 raisedToInteger:216)
4918
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  1989
     (2 raisedTo:216) 
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  1990
-> 105312291668557186697918027683670432318895095400549111254310977536     
4952
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1991
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1992
     (2 raisedToInteger:216) asFloat     
4917
662e7f3315fb comments
Claus Gittinger <cg@exept.de>
parents: 4867
diff changeset
  1993
     (2 raisedTo:216) asFloat     
4918
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  1994
-> 1.05312E+65
4952
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1995
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1996
     (2 raisedToInteger:500)
4918
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  1997
     (2 raisedTo:500) 
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  1998
-> 3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376
4952
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  1999
     2 raisedToInteger:10 
4918
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2000
-> 1024
4952
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  2001
    -2 raisedToInteger:10
4918
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2002
-> 1024
4952
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  2003
     -2 raisedToInteger:9
4918
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2004
-> -512
4952
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  2005
     10 raisedToInteger:-10
4918
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2006
-> (1/10000000000)
4952
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  2007
     2 raisedToInteger:0 
4918
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2008
-> 1
4952
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  2009
     2 raisedToInteger:-1 
4918
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2010
-> (1/2)
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2011
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2012
     Time millisecondsToRun:[
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2013
        10000 timesRepeat:[
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2014
            (2 raisedToInteger:500)
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2015
        ]
4952
c5ab479d3e60 tuned raisedToInteger:
Claus Gittinger <cg@exept.de>
parents: 4949
diff changeset
  2016
     ]  
4918
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2017
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2018
     Time millisecondsToRun:[
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2019
        |bigNum|
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2020
        bigNum := 2 raisedToInteger:500.
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2021
        10 timesRepeat:[
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2022
            (bigNum raisedToInteger:500)
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2023
        ]
c89047114a1e preps for speedups
Claus Gittinger <cg@exept.de>
parents: 4917
diff changeset
  2024
     ]
4136
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  2025
    "
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  2026
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  2027
    "Created: / 27.4.1999 / 15:19:22 / stefan"
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  2028
    "Modified: / 27.4.1999 / 16:16:11 / stefan"
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  2029
!
8c8bfa5808a3 Optimisations and modulo arithmethic
Stefan Vogel <sv@exept.de>
parents: 4039
diff changeset
  2030
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2031
recursiveFib
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2032
    "compute the fibionacci number for the receiver.
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2033
     WARNING:
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2034
         Dont use this method if you need fibionacci numbers -
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2035
         this method is for benchmarking purposes only.
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2036
         (use #fib instead and dont ever try 60 recursiveFib ...)"
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2037
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2038
    (self > 1) ifTrue:[
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2039
	^ (self - 1) recursiveFib + (self - 2) recursiveFib
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2040
    ].
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2041
    ^ 1
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2042
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2043
    "
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2044
     30 fib
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2045
     30 recursiveFib
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2046
     Transcript showCR:(Time millisecondsToRun:[30 recursiveFib])
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2047
     Transcript showCR:(Time millisecondsToRun:[30 fib])
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2048
    "
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2049
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2050
    "Modified: 18.7.1996 / 12:47:19 / cg"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2051
! !
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2052
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2053
!Integer methodsFor:'printing & storing'!
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2054
4801
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2055
asBCDBytes
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2056
    "return a byteArray containing the receiver in BCD encoding.
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2057
     The byteArray will contain the BCD encoded decimal string,
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2058
     starting with the most significant digits first.
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2059
     This conversion is useful for some communication protocols,
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2060
     or control systems, which represent big numbers this way...
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2061
    "
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2062
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2063
    |s rest twoDigits hi lo|
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2064
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2065
    self == 0 ifTrue:[
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2066
        ^ #[ 16r00 ]
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2067
    ].
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2068
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2069
    "/ a very rough estimate on the final size ...
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2070
    s := (ByteArray new:(self digitLength * 2)) writeStream.
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2071
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2072
    rest := self.
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2073
    [rest > 0] whileTrue:[
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2074
        twoDigits := rest \\ 100.
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2075
        rest := rest // 100.
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2076
        hi := twoDigits \\ 10.
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2077
        lo := twoDigits // 10.
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2078
        s nextPut:(lo bitShift:4)+hi
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2079
    ].
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2080
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2081
    ^ s contents reverse
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2082
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2083
    "
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2084
     12345678 asBCDBytes 
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2085
     12345678901234567890 asBCDBytes
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2086
    "
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2087
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2088
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2089
!
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2090
49
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
  2091
displayString
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
  2092
    "return a string for displaying in a view (as in inspector).
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
  2093
     The output radix is usually 10, but can be changed by setting
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
  2094
     DefaultDisplayRadix (see Integer>>displayRadix:)"
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
  2095
54
06dbdeeed4f9 *** empty log message ***
claus
parents: 52
diff changeset
  2096
    (DefaultDisplayRadix isNil or:[DefaultDisplayRadix == 10]) ifTrue:[
159
514c749165c3 *** empty log message ***
claus
parents: 132
diff changeset
  2097
	^ self printString
54
06dbdeeed4f9 *** empty log message ***
claus
parents: 52
diff changeset
  2098
    ].
49
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
  2099
    ^ self radixPrintStringRadix:DefaultDisplayRadix
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
  2100
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2101
    "
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2102
     Integer displayRadix:16. 12345 
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2103
     Integer displayRadix:2.  12345 
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2104
     Integer displayRadix:10. 12345
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2105
    "
49
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
  2106
!
f1c2d75f2eb6 *** empty log message ***
claus
parents: 44
diff changeset
  2107
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2108
errorPrintHex
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2109
    "print the receiver as a hex number on the standard error stream"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2110
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2111
     (self printStringRadix:16) errorPrint
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2112
!
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2113
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2114
hexPrintString
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2115
    "return a hex string representation of the receiver"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2116
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2117
    ^ self printStringRadix:16
3874
a04715e25340 comment
Claus Gittinger <cg@exept.de>
parents: 3683
diff changeset
  2118
a04715e25340 comment
Claus Gittinger <cg@exept.de>
parents: 3683
diff changeset
  2119
    "
a04715e25340 comment
Claus Gittinger <cg@exept.de>
parents: 3683
diff changeset
  2120
     127 hexPrintString
a04715e25340 comment
Claus Gittinger <cg@exept.de>
parents: 3683
diff changeset
  2121
     -1 hexPrintString
a04715e25340 comment
Claus Gittinger <cg@exept.de>
parents: 3683
diff changeset
  2122
    "
a04715e25340 comment
Claus Gittinger <cg@exept.de>
parents: 3683
diff changeset
  2123
a04715e25340 comment
Claus Gittinger <cg@exept.de>
parents: 3683
diff changeset
  2124
    "Modified: / 11.10.1998 / 01:15:43 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2125
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2126
2408
fd31506f31ef added #hexPrintString:
Claus Gittinger <cg@exept.de>
parents: 2141
diff changeset
  2127
hexPrintString:size
fd31506f31ef added #hexPrintString:
Claus Gittinger <cg@exept.de>
parents: 2141
diff changeset
  2128
    "return a hex string representation of the receiver,
fd31506f31ef added #hexPrintString:
Claus Gittinger <cg@exept.de>
parents: 2141
diff changeset
  2129
     padded to size characters"
fd31506f31ef added #hexPrintString:
Claus Gittinger <cg@exept.de>
parents: 2141
diff changeset
  2130
5799
547c417b23cb *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5782
diff changeset
  2131
"/    ^ (self printStringRadix:16) leftPaddedTo:size with:$0
547c417b23cb *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5782
diff changeset
  2132
    ^ self printStringRadix:16 size:size fill:$0
547c417b23cb *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5782
diff changeset
  2133
547c417b23cb *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5782
diff changeset
  2134
    "
547c417b23cb *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5782
diff changeset
  2135
     12345 hexPrintString:4  
547c417b23cb *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 5782
diff changeset
  2136
    "
2408
fd31506f31ef added #hexPrintString:
Claus Gittinger <cg@exept.de>
parents: 2141
diff changeset
  2137
fd31506f31ef added #hexPrintString:
Claus Gittinger <cg@exept.de>
parents: 2141
diff changeset
  2138
    "Created: 18.2.1997 / 13:32:33 / cg"
fd31506f31ef added #hexPrintString:
Claus Gittinger <cg@exept.de>
parents: 2141
diff changeset
  2139
!
fd31506f31ef added #hexPrintString:
Claus Gittinger <cg@exept.de>
parents: 2141
diff changeset
  2140
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2141
printHex
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2142
    "print the receiver as a hex number on the standard output stream"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2143
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2144
     (self printStringRadix:16) print
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2145
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2146
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2147
printOn:aStream
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2148
    "append a printed description of the receiver to aStream"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2149
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2150
    self printOn:aStream base:10
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2151
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2152
    "Modified: / 20.1.1998 / 14:10:45 / stefan"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2153
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2154
4522
29a6625dc7b1 error: vs. error:mayProceed:
Claus Gittinger <cg@exept.de>
parents: 4424
diff changeset
  2155
printOn:aStream base:b
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2156
    "return a string representation of the receiver in the specified
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2157
     radix (without the initial XXr)"
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2158
5988
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2159
    ^ self printOn:aStream base:b showRadix:false
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2160
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2161
    "
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2162
     10 printOn:Transcript base:3
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2163
     31 printOn:Transcript base:3
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2164
     -20 printOn:Transcript base:16
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2165
     -20 printOn:Transcript base:10
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2166
     3000 factorial printOn:Transcript base:10
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2167
    "
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2168
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2169
    "Modified: / 20.1.1998 / 18:05:02 / stefan"
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2170
    "Modified: / 7.9.2001 / 13:52:17 / cg"
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2171
!
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2172
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2173
printOn:aStream base:b showRadix:showRadix
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2174
    "append a string representation of the receiver in the specified numberBase to aStream
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2175
     (if showRadix is true, with initial XXr)
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2176
     The radix argument should be between 2 and 36."
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2177
4522
29a6625dc7b1 error: vs. error:mayProceed:
Claus Gittinger <cg@exept.de>
parents: 4424
diff changeset
  2178
    |base num s divMod mod r r2 r4 nD numN|
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2179
4522
29a6625dc7b1 error: vs. error:mayProceed:
Claus Gittinger <cg@exept.de>
parents: 4424
diff changeset
  2180
    base := b.
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2181
    (base between:2 and:36) ifFalse:[
4522
29a6625dc7b1 error: vs. error:mayProceed:
Claus Gittinger <cg@exept.de>
parents: 4424
diff changeset
  2182
        self error:'invalid base' mayProceed:true.
29a6625dc7b1 error: vs. error:mayProceed:
Claus Gittinger <cg@exept.de>
parents: 4424
diff changeset
  2183
        base := 10.
54
06dbdeeed4f9 *** empty log message ***
claus
parents: 52
diff changeset
  2184
    ].
06dbdeeed4f9 *** empty log message ***
claus
parents: 52
diff changeset
  2185
5988
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2186
    showRadix ifTrue:[
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2187
        base printOn:aStream.
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2188
        aStream nextPutAll:'r'.    
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2189
    ].
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2190
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2191
    (self = 0) ifTrue:[aStream nextPut:$0. ^ self].
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2192
    (self < 0) ifTrue:[
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2193
        aStream nextPut:$- . 
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2194
        num := self negated.
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2195
    ] ifFalse:[
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2196
        num := self.
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2197
    ].
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2198
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2199
    "
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2200
     claus: changed it from a recursive algorithm;
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2201
     (it used to trigger stack-overflow exceptions when printing
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2202
      3000 factorial ...)
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2203
    "
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2204
"/    leftPart := num // base.
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2205
"/    (leftPart ~= 0) ifTrue:[
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2206
"/        leftPart printOn:aStream base:base.
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2207
"/        aStream nextPut:(Character digitValue:(num \\ base).
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2208
"/        ^ self
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2209
"/    ].
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2210
"/    aStream nextPut:(Character digitValue:num).
2951
256e90eee7f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2816
diff changeset
  2211
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2212
    "/ instead of computing the quotient and remainder
3136
91dbf1ea13a6 print in junks of 6 digits (instead of 8 digits)
Claus Gittinger <cg@exept.de>
parents: 3135
diff changeset
  2213
    "/ against radix, do it in junks of 5 or 6 digits.
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2214
    "/ This reduces the number of LargeInt-divisions
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2215
    "/ by that factor (turning them into smallInt divisions
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2216
    "/ within that junk) and speeds up the conversions noticably.
1842
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  2217
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2218
    r2 := base*base.   "/ radix^2
3138
1cd38a2d1924 oops - printString
ca
parents: 3136
diff changeset
  2219
    r4 := r2*r2.             "/ radix^4
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2220
    base <= 10 ifTrue:[
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2221
        r := r4*r2.        "/ radix^6
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2222
        nD := 6.
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2223
    ] ifFalse:[
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2224
        r := r4*base.    "/ radix^5
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2225
        nD := 5.
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2226
    ].
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2227
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2228
    "get a Stream with space for the digits we are going to print.
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2229
     We need ((num log:base) ceiling) digits, which is equivalent
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2230
     to ((num log:2)/(base log:2) ceiling)
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2231
    "
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2232
    s := WriteStream on:(String new:((num highBit // base highBit - 1) + 1)).
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2233
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2234
    [num >= r] whileTrue:[
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2235
        "/
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2236
        "/ chop off nD digits.
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2237
        "/
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2238
        divMod := num divMod:r.
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2239
        num := divMod at:1.
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2240
        numN := divMod at:2.
2951
256e90eee7f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2816
diff changeset
  2241
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2242
        "/ process them
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2243
        nD timesRepeat:[
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2244
            divMod := numN divMod:base.
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2245
            numN := divMod at:1.
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2246
            mod := divMod at:2.
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2247
            s nextPut:(Character digitValue:mod).
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2248
        ].
2951
256e90eee7f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2816
diff changeset
  2249
    ].
1842
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  2250
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2251
    [num ~= 0] whileTrue:[
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2252
        divMod := num divMod:base.
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2253
        num := divMod at:1.
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2254
        mod := divMod at:2.
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2255
        s nextPut:(Character digitValue:mod).
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2256
    ].
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2257
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2258
    aStream nextPutAll:(s contents reverse).
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2259
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2260
    "
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2261
        3000 factorial printOn:Transcript base:10
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2262
        10 printOn:Transcript base:3
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2263
        31 printOn:Transcript base:3
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2264
        -20  printOn:Transcript base:16
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2265
        -20  printOn:Transcript base:10
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2266
    "
1842
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  2267
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2268
    "Modified: / 20.1.1998 / 18:05:02 / stefan"
5988
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2269
    "Created: / 7.9.2001 / 13:51:33 / cg"
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2270
    "Modified: / 7.9.2001 / 13:54:50 / cg"
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2271
!
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2272
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2273
printOn:aStream radix:base
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2274
    "append a printed description of the receiver to aStream.
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2275
     The receiver is printed in radix base (instead of the default, 10).
5988
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2276
     This method is obsoleted by #printOn:base:, which is ST-80 & ANSI compatible."
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2277
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2278
    self printOn:aStream base:base
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2279
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2280
    "Modified: / 20.1.1998 / 14:10:45 / stefan"
5988
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2281
    "Modified: / 7.9.2001 / 13:58:29 / cg"
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2282
!
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2283
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2284
printStringRadix:base
5988
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2285
    "return a string representation of the receiver in the specified
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2286
     base; does NOT prepend XXr to the string.
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2287
     See also: radixPrintStringRadix:
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2288
               printOn:base:showRadix:"
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2289
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2290
    |s|
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2291
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2292
    s := WriteStream on:(String new:20).
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2293
    self printOn:s base:base.
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2294
    ^ s contents
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2295
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2296
    "Created: / 19.1.1998 / 17:20:58 / stefan"
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2297
    "Modified: / 20.1.1998 / 14:10:54 / stefan"
5988
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2298
    "Modified: / 7.9.2001 / 13:58:13 / cg"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2299
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2300
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2301
printStringRadix:aRadix size:sz fill:fillCharacter
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2302
    "return a string representation of the receiver in the specified
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2303
     radix. The string is padded on the left with fillCharacter to make
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2304
     its size as specified in sz."
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2305
2951
256e90eee7f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2816
diff changeset
  2306
    |s actualSize|
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2307
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2308
    s := self printStringRadix:aRadix.
2951
256e90eee7f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2816
diff changeset
  2309
    actualSize := s size.
256e90eee7f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2816
diff changeset
  2310
    actualSize < sz ifTrue:[
256e90eee7f9 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 2816
diff changeset
  2311
	s := ((String new:(sz - actualSize)) atAllPut:fillCharacter) , s
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2312
    ].
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2313
    ^ s
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2314
92
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2315
    "
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2316
     1024 printStringRadix:16 size:4 fill:$0
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2317
     1024 printStringRadix:2 size:16 fill:$.
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2318
     1024 printStringRadix:16 size:8 fill:(Character space)
0c73b48551ac *** empty log message ***
claus
parents: 88
diff changeset
  2319
    "
216
a8abff749575 *** empty log message ***
claus
parents: 213
diff changeset
  2320
!
a8abff749575 *** empty log message ***
claus
parents: 213
diff changeset
  2321
5988
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2322
radixPrintStringRadix:radix
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2323
    "return a string representation of the receiver in the specified
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2324
     base; prepend XXr to the string"
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2325
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2326
    |s|
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2327
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2328
    s := WriteStream on:(String new:20).
5988
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2329
    self printOn:s base:radix showRadix:true.
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2330
    ^ s contents
216
a8abff749575 *** empty log message ***
claus
parents: 213
diff changeset
  2331
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2332
    "
5988
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2333
     31 radixPrintStringRadix:2   
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2334
     31 radixPrintStringRadix:3    
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2335
     31 radixPrintStringRadix:10    
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2336
     31 radixPrintStringRadix:16    
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2337
     31 radixPrintStringRadix:36   
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2338
    "
3188
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2339
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2340
    "Created: / 19.1.1998 / 17:38:00 / stefan"
301eaf46b9e4 Use #printOn: instead of #printString as base method.
Stefan Vogel <sv@exept.de>
parents: 3162
diff changeset
  2341
    "Modified: / 20.1.1998 / 14:11:03 / stefan"
5988
Claus Gittinger <cg@exept.de>
parents: 5882
diff changeset
  2342
    "Modified: / 7.9.2001 / 13:57:00 / cg"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2343
! !
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2344
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2345
!Integer methodsFor:'queries'!
202
40ca7cc6fb9c *** empty log message ***
claus
parents: 159
diff changeset
  2346
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2347
digitAt:n
6055
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2348
    "return the n-th byte of the binary representation."
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2349
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2350
    self subclassResponsibility
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2351
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2352
    "This is a very stupid implementation, and should be redefined in
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2353
     concrete subclasses."
202
40ca7cc6fb9c *** empty log message ***
claus
parents: 159
diff changeset
  2354
6055
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2355
"/    |num count|
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2356
"/
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2357
"/    num := self.
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2358
"/    count := n.
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2359
"/    [count > 1] whileTrue:[
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2360
"/        num := num // 256.
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2361
"/        count := count - 1
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2362
"/    ].
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2363
"/    ^ num \\ 256
159
514c749165c3 *** empty log message ***
claus
parents: 132
diff changeset
  2364
514c749165c3 *** empty log message ***
claus
parents: 132
diff changeset
  2365
    "
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2366
     16r44332211 digitAt:1     
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2367
     16r44332211 digitAt:2    
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2368
     16r44332211 digitAt:3     
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2369
     16r44332211 digitAt:4     
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2370
     16r44332211 digitAt:5     
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2371
     16r00332211 digitAt:4     
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2372
     16r00332211 digitAt:5     
159
514c749165c3 *** empty log message ***
claus
parents: 132
diff changeset
  2373
    "
6055
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2374
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2375
    "Modified: / 26.9.2001 / 21:21:21 / cg"
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2376
!
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2377
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2378
digitByteAt:n
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2379
    "return 8 bits of my signed value, starting at byte index.
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2380
     For positive receivers, this is the same as #digitAt:;
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2381
     for negative ones, the actual bit representation is returned."
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2382
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2383
    self subclassResponsibility
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2384
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2385
    "Created: / 26.9.2001 / 21:18:43 / cg"
e4d5016bad38 no need for #digitAt: here - it ought to be redefined in ALL
Claus Gittinger <cg@exept.de>
parents: 5988
diff changeset
  2386
    "Modified: / 26.9.2001 / 21:20:19 / cg"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2387
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2388
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2389
digitLength
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2390
    "return the number of bytes needed for the binary representation
2816
62edd11b5e66 commentary
Claus Gittinger <cg@exept.de>
parents: 2794
diff changeset
  2391
     of the receiver.
62edd11b5e66 commentary
Claus Gittinger <cg@exept.de>
parents: 2794
diff changeset
  2392
     This method is redefined in concrete classes - the fallback here is
62edd11b5e66 commentary
Claus Gittinger <cg@exept.de>
parents: 2794
diff changeset
  2393
     never really used."
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2394
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2395
    ^ (self log:256) ceiling asInteger
2816
62edd11b5e66 commentary
Claus Gittinger <cg@exept.de>
parents: 2794
diff changeset
  2396
62edd11b5e66 commentary
Claus Gittinger <cg@exept.de>
parents: 2794
diff changeset
  2397
    "Modified: 31.7.1997 / 13:19:06 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2398
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2399
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2400
isInteger
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2401
    "return true, if the receiver is some kind of integer number"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2402
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2403
    ^ true
3036
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2404
!
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2405
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2406
isPowerOfTwo
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2407
    "return true, if the receiver is a power of 2"
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2408
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2409
    ^ (self bitAnd:(self - 1)) == 0
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2410
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2411
    "
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2412
     0 isPowerOfTwo     
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2413
     1 isPowerOfTwo     
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2414
     2 isPowerOfTwo     
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2415
     3 isPowerOfTwo     
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2416
     4 isPowerOfTwo     
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2417
     16r8000000000000000 isPowerOfTwo
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2418
     16r8000000000000001 isPowerOfTwo
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2419
    "
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2420
f2d332547db7 added #isPowerOf2
Claus Gittinger <cg@exept.de>
parents: 2951
diff changeset
  2421
    "Modified: 15.10.1997 / 18:43:49 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2422
! !
202
40ca7cc6fb9c *** empty log message ***
claus
parents: 159
diff changeset
  2423
2458
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2424
!Integer methodsFor:'special bit operators'!
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2425
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2426
bitAnd_32:anInteger
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2427
    "return a C-semantic 32bit locical-and of the receiver and
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2428
     the argument. Both must be either Small- or LargeIntegers.
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2429
     This (nonstandard) specialized method is provided to allow simulation of
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2430
     and operations with C semantics."
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2431
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2432
%{  /* NOCONTEXT */
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2433
    int val1, val2, rslt;
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2434
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2435
    if (__isSmallInteger(self)) {
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2436
	val1 = __intVal(self);
2458
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2437
    } else if (__isLargeInteger(self)) {
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2438
	val1 = __longIntVal(self);
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2439
	if (!val1) goto bad;
2458
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2440
    } else {
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2441
	goto bad;
2458
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2442
    }
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2443
    if (__isSmallInteger(anInteger)) {
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2444
	val2 = __intVal(anInteger);
2458
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2445
    } else if (__isLargeInteger(anInteger)) {
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2446
	val2 = __longIntVal(anInteger);
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2447
	if (!val2) goto bad;
2458
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2448
    } else {
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2449
	goto bad;
2458
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2450
    }
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2451
    rslt = val1 & val2;
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2452
    RETURN(__MKINT(rslt));
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2453
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2454
  bad: ;
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2455
%}.
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2456
    self primitiveFailed.
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2457
!
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2458
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2459
bitOr_32:anInteger
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2460
    "return a C-semantic 32bit locical-or of the receiver and
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2461
     the argument. Both must be either Small- or LargeIntegers.
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2462
     This (nonstandard) specialized method is provided to allow simulation of
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2463
     and operations with C semantics."
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2464
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2465
%{  /* NOCONTEXT */
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2466
    int val1, val2, rslt;
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2467
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2468
    if (__isSmallInteger(self)) {
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2469
	val1 = __intVal(self);
2458
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2470
    } else if (__isLargeInteger(self)) {
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2471
	val1 = __longIntVal(self);
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2472
	if (!val1) goto bad;
2458
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2473
    } else {
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2474
	goto bad;
2458
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2475
    }
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2476
    if (__isSmallInteger(anInteger)) {
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2477
	val2 = __intVal(anInteger);
2458
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2478
    } else if (__isLargeInteger(anInteger)) {
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2479
	val2 = __longIntVal(anInteger);
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2480
	if (!val2) goto bad;
2458
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2481
    } else {
3121
91de0211651c even faster largeInt printString, by doing it in bigger junks (8digits a time)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
  2482
	goto bad;
2458
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2483
    }
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2484
    rslt = val1 | val2;
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2485
    RETURN(__MKINT(rslt));
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2486
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2487
  bad: ;
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2488
%}.
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2489
    self primitiveFailed.
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2490
! !
4f29a9dd12fe checkin from browser
Claus Gittinger <cg@exept.de>
parents: 2457
diff changeset
  2491
4653
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2492
!Integer methodsFor:'testing'!
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2493
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2494
isLiteral
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2495
    "return true, if the receiver can be used as a literal constant in ST syntax
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2496
     (i.e. can be used in constant arrays)"
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2497
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2498
    ^ true
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2499
! !
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2500
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2501
!Integer methodsFor:'tracing'!
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2502
4682
4158042a9c8c *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4653
diff changeset
  2503
traceInto:aRequestor level:level from:referrer
4653
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2504
    "double dispatch into tracer, passing my type implicitely in the selector"
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2505
4682
4158042a9c8c *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4653
diff changeset
  2506
    ^ aRequestor traceInteger:self level:level from:referrer
4653
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2507
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2508
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2509
! !
b3d38149fbde added #hasSharedInstances & tracing support
Claus Gittinger <cg@exept.de>
parents: 4643
diff changeset
  2510
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2511
!Integer methodsFor:'truncation & rounding'!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2512
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2513
ceiling
1558
864bddaf96e8 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1556
diff changeset
  2514
    "return the smallest integer which is larger or equal to the receiver.
864bddaf96e8 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1556
diff changeset
  2515
     For integers, this is the receiver itself."
345
claus
parents: 328
diff changeset
  2516
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2517
    ^ self
1558
864bddaf96e8 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1556
diff changeset
  2518
864bddaf96e8 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1556
diff changeset
  2519
    "Modified: 18.7.1996 / 12:44:06 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2520
!
345
claus
parents: 328
diff changeset
  2521
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2522
compressed
1883
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  2523
    "if the receiver can be represented as a SmallInteger, return
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  2524
     a SmallInteger with my value; otherwise return self with leading
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  2525
     zeros removed. This method is redefined in LargeInteger."
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2526
1883
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  2527
    ^ self
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  2528
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  2529
    "Modified: 5.11.1996 / 14:07:41 / cg"
202
40ca7cc6fb9c *** empty log message ***
claus
parents: 159
diff changeset
  2530
!
40ca7cc6fb9c *** empty log message ***
claus
parents: 159
diff changeset
  2531
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2532
floor
1558
864bddaf96e8 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1556
diff changeset
  2533
    "return the largest integer which is smaller or equal to the receiver.
864bddaf96e8 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1556
diff changeset
  2534
     For integers, this is the receiver itself."
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2535
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2536
    ^ self
1558
864bddaf96e8 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1556
diff changeset
  2537
864bddaf96e8 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1556
diff changeset
  2538
    "Modified: 18.7.1996 / 12:44:00 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2539
!
202
40ca7cc6fb9c *** empty log message ***
claus
parents: 159
diff changeset
  2540
1866
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2541
fractionPart
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2542
    "return a number with value from digits after the decimal point.
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2543
     (i.e. the receiver minus its truncated value)
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2544
     Since integers have no fraction, return 0 here."
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2545
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2546
    ^ 0
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2547
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2548
    "
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2549
     1234.56789 fractionPart      
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2550
     1.2345e6 fractionPart        
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2551
     1000 fractionPart              
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2552
     10000000000000000 fractionPart 
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2553
    "
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2554
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2555
    "Modified: 4.11.1996 / 20:27:44 / cg"
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2556
!
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2557
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2558
integerPart
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2559
    "return a number with value from digits before the decimal point.
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2560
     (i.e. the receivers truncated value)
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2561
     Since integers have no fraction, return the receiver here."
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2562
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2563
    ^ self
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2564
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2565
    "
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2566
     1234.56789 integerPart      
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2567
     1.2345e6 integerPart        
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2568
     1000 integerPart              
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2569
     10000000000000000 integerPart 
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2570
    "
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2571
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2572
    "Modified: 4.11.1996 / 20:28:22 / cg"
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2573
!
225afe414934 added fractionPart & integerPart for protocol completeness
Claus Gittinger <cg@exept.de>
parents: 1842
diff changeset
  2574
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2575
normalize
1883
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  2576
    "if the receiver can be represented as a SmallInteger, return
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  2577
     a SmallInteger with my value; otherwise return self with leading
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  2578
     zeros removed.
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  2579
     This method is left for backward compatibility - it has been
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  2580
     renamed to #compressed for ST-80 compatibility."
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2581
1883
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  2582
    ^ self compressed
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  2583
d3fbf4b36be7 renamed #normalize to #compressed (ST_80 compat)
Claus Gittinger <cg@exept.de>
parents: 1866
diff changeset
  2584
    "Modified: 5.11.1996 / 14:08:24 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2585
!
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2586
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2587
rounded
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2588
    "return the receiver rounded toward the next Integer -
1558
864bddaf96e8 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1556
diff changeset
  2589
     for integers this is the receiver itself."
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2590
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2591
    ^ self
1558
864bddaf96e8 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1556
diff changeset
  2592
864bddaf96e8 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1556
diff changeset
  2593
    "Modified: 18.7.1996 / 12:44:24 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2594
!
69
4564b6328136 *** empty log message ***
claus
parents: 54
diff changeset
  2595
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2596
truncated
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2597
    "return the receiver truncated towards zero - 
1558
864bddaf96e8 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1556
diff changeset
  2598
     for integers this is the receiver itself."
159
514c749165c3 *** empty log message ***
claus
parents: 132
diff changeset
  2599
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2600
    ^ self
1558
864bddaf96e8 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1556
diff changeset
  2601
864bddaf96e8 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1556
diff changeset
  2602
    "Modified: 18.7.1996 / 12:44:33 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2603
! !
569
7134eb78cf48 readFrom:onError: can now also read from a string
Claus Gittinger <cg@exept.de>
parents: 530
diff changeset
  2604
4142
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2605
!Integer::ModuloNumber class methodsFor:'documentation'!
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2606
4803
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2607
copyright
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2608
"
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2609
 COPYRIGHT (c) 1999 by eXept Software AG
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2610
              All Rights Reserved
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2611
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2612
 This software is furnished under a license and may be used
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2613
 only in accordance with the terms of that license and with the
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2614
 inclusion of the above copyright notice.   This software may not
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2615
 be provided or otherwise made available to, or used by, any
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2616
 other person.  No title to or ownership of the software is
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2617
 hereby transferred.
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2618
"
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2619
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2620
!
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2621
4142
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2622
documentation
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2623
"
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2624
    This is a helper class to perform fast computation of the modulus.
4609
6a1819c7a743 comment
Claus Gittinger <cg@exept.de>
parents: 4522
diff changeset
  2625
    (with big numbers, this does make a difference)
4803
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2626
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2627
    WARNING: this does only work with numbers which have no common
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2628
             divisor (which is true for cryptographic applications).
47355eb08e99 comment
Claus Gittinger <cg@exept.de>
parents: 4801
diff changeset
  2629
             So, use this only if you know what you are doing ...
4142
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2630
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2631
    [author:]
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2632
        Stefan Vogel
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2633
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2634
    [see also:]
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2635
        Integer SmallInteger LargeInsteger
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2636
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2637
    [instance variables:]
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2638
        modulus       the modulus
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2639
        reciprocal    reciprocal of the modulus
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2640
        shift         shift count to cut off some bits
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2641
"
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2642
!
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2643
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2644
examples
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2645
"
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2646
                                                                [exBegin]
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2647
        17 asModuloNumber modulusOf:38
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2648
                                                                [exEnd]
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2649
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2650
                                                                [exBegin]
4609
6a1819c7a743 comment
Claus Gittinger <cg@exept.de>
parents: 4522
diff changeset
  2651
        38 \\ 17        
4142
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2652
                                                                [exEnd]
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2653
"
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2654
! !
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2655
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2656
!Integer::ModuloNumber class methodsFor:'instance creation'!
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2657
4801
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2658
modulus:anInteger
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2659
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2660
    ^ self new modulus:anInteger
4142
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2661
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2662
    "Created: / 3.5.1999 / 11:13:15 / stefan"
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2663
    "Modified: / 3.5.1999 / 11:18:37 / stefan"
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2664
! !
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2665
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2666
!Integer::ModuloNumber methodsFor:'accessing'!
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2667
4801
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2668
modulus
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2669
    "return the modulus"
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2670
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2671
    ^ modulus
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2672
!
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2673
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2674
modulus:n
4142
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2675
    "set the modulus"
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2676
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2677
    modulus := n.
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2678
    reciprocal := n integerReciprocal.
4971
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2679
    shift := n highBit negated.
4142
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2680
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2681
    "Created: / 3.5.1999 / 10:02:39 / stefan"
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2682
    "Modified: / 3.5.1999 / 14:30:49 / stefan"
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2683
! !
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2684
5238
f7a816a660a3 categories
Claus Gittinger <cg@exept.de>
parents: 5210
diff changeset
  2685
!Integer::ModuloNumber methodsFor:'arithmetic'!
4142
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2686
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2687
modulusOf:aNumber
4971
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2688
    "compute the aNumber modulo myself.
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2689
     The shortcut works only, if aNumber is < modulo * modulo
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2690
     (When doing arithmethic modulo something).
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2691
     Otherwise do it the long way"
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2692
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2693
    |e t cnt|
4142
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2694
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2695
    "throw off low nbits(modulus)"
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2696
4971
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2697
    e := (aNumber bitShift:shift).
4142
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2698
    e := e * reciprocal.
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2699
    e := (e bitShift:shift).
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2700
    e := e * modulus.
4971
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2701
    e := aNumber - e.
4142
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2702
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2703
    "this subtract is done max 2 times"
4971
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2704
    cnt := 2.
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2705
    [(t := e - modulus) >= 0] whileTrue:[
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2706
        e := t.
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2707
        cnt == 0 ifTrue:[
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2708
            ^ e \\ modulus.
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2709
        ].
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2710
        cnt := cnt - 1.
4142
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2711
    ].
4971
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2712
    ^ e.
4142
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2713
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2714
    "
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2715
     |m|
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2716
4801
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2717
     m := self new modulus:7.
4142
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2718
     m modulusOf:55.
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2719
    "
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2720
4971
aed19001173f Fix ModuloNumber for large numbers.
Stefan Vogel <sv@exept.de>
parents: 4952
diff changeset
  2721
    "Shortcut does not work: (size of divisor vs. dividend):
4801
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2722
     |m|
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2723
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2724
     m := self new modulus:7.
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2725
     m modulusOf:123456789901398721398721931729371293712943794254034548369328469438562948623498659238469234659823469823658423659823658.
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2726
    "
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2727
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2728
    "SLOW (using standard \\ operation):
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2729
     |m|
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2730
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2731
     m := 123456789901398721398721931729371293712943794254034548369328469438562948623498659238469234659823469823658423659823658.
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2732
     Time millisecondsToRun:[
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2733
        1000 timesRepeat:[
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2734
            874928459437598375937451931729371293712943794254034548369328469438562948623498659238469234659823469823658423659823658 \\ m
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2735
        ]
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2736
     ]
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2737
    "            
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2738
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2739
    "fast (using moduloNumber with almost same-sized dividend and divisor):
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2740
     |m|
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2741
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2742
     m := self new modulus:123456789901398721398721931729371293712943794254034548369328469438562948623498659238469234659823469823658423659823658.
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2743
     Time millisecondsToRun:[
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2744
        1000 timesRepeat:[
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2745
            m modulusOf:874928459437598375937451931729371293712943794254034548369328469438562948623498659238469234659823469823658423659823658.
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2746
        ]
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2747
     ]
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2748
    "            
edf02501d5e2 comment about divisor-size vs. dividend-size in ModuloNumber
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2749
4142
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2750
    "Modified: / 3.5.1999 / 14:30:32 / stefan"
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2751
! !
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2752
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2753
!Integer::ModuloNumber methodsFor:'converting'!
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2754
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2755
asModuloNumber
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2756
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2757
    ^ self
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2758
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2759
    "Created: / 3.5.1999 / 14:48:27 / stefan"
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2760
! !
a881cc4bfaec Make ModuloNumber a private class.
Stefan Vogel <sv@exept.de>
parents: 4141
diff changeset
  2761
1842
b28609c73839 added divMod: for faster largeNumber printString generation.
Claus Gittinger <cg@exept.de>
parents: 1700
diff changeset
  2762
!Integer class methodsFor:'documentation'!
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2763
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2764
version
6481
d5c94e93067c highBit now returns 0 if no bit is set.
Claus Gittinger <cg@exept.de>
parents: 6480
diff changeset
  2765
    ^ '$Header: /cvs/stx/stx/libbasic/Integer.st,v 1.144 2002-03-28 11:02:13 cg Exp $'
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
  2766
! !
4996
c3716cebe47b added a bcdConversionErrorSignal
Claus Gittinger <cg@exept.de>
parents: 4973
diff changeset
  2767
Integer initialize!