Number.st
author Stefan Vogel <sv@exept.de>
Fri, 11 Apr 2014 10:29:03 +0200
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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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"{ Package: 'stx:libbasic' }"
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ArithmeticValue subclass:#Number
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	instanceVariableNames:''
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	classVariableNames:'DecimalPointCharacter DecimalPointCharacterForPrinting
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		DecimalPointCharacters DecimalPointCharactersForReading'
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	poolDictionaries:''
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	category:'Magnitude-Numbers'
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!
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!Number 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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!
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documentation
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    abstract superclass for all kinds of numbers
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    [class variables:]
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        DecimalPointCharacterForPrinting          <Character>                     used when printing
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        DecimalPointCharactersForReading          <Collection of Character>       accepted as decimalPointChars when reading
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    [author:]
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        Claus Gittinger
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    [see also:]
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        Integer LargeInteger SmallInteger
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        LimitedPrecisionReal Float ShortFloat
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        Fraction FixedPoint
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"
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! !
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!Number class methodsFor:'instance creation'!
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fastFromString:aString
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    "return the next Float, Integer or ShortFloat from the string.
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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 valid float number.
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     It has been added to allow high speed string decomposition into numbers,
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     especially for mass-data."
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    ^ self fastFromString:aString at:1
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    "
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     Float fromString:'12345.0'
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     Float fastFromString:'12345.0'
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     Integer fromString:'12345'
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     Integer fastFromString:'12345'
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     should be roughly 10times faster than the general method:
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     Time millisecondsToRun:[
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        100000 timesRepeat:[ Float fromString:'12345.0' ]
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     ].   
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     Time millisecondsToRun:[
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        100000 timesRepeat:[ Float fastFromString:'12345.0' ]
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     ].   
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     Time millisecondsToRun:[
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        100000 timesRepeat:[ Integer fromString:'12345' ]
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     ].  
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     Time millisecondsToRun:[
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        100000 timesRepeat:[ Integer fastFromString:'12345' ]
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     ]. 
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    "
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!
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fromString:aString
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    "for compatibility with other smalltalks - same as #readFrom:"
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    ^ self
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        fromString:aString
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        decimalPointCharacters:(self decimalPointCharactersForReading) 
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    "
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     Number fromString:'12345'
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     Number fromString:'abc'
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     Number fromString:'1abc'
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     '12345' asNumber
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    "
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    "Modified: / 3.8.1998 / 20:05:11 / cg"
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!
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fromString:aString decimalPointCharacters:decimalPointCharacters
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    "for compatibility with other smalltalks - same as #readFrom:"
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    |s num|
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    s := aString readStream.
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    num := self readFrom:s decimalPointCharacters:decimalPointCharacters onError:[^ self error:'invalid number'].
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    s atEnd ifFalse:[^ self error:'garbage at end of number'].
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    ^ num.
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    "
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     Number fromString:'12345'
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     Number fromString:'abc'
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     Number fromString:'1abc'
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     '12345' asNumber
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    "
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    "Modified: / 3.8.1998 / 20:05:11 / cg"
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!
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fromString:aString decimalPointCharacters:decimalPointCharacters onError:exceptionBlock
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    "for compatibility with other smalltalks - same as #readFrom:"
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    ^ self readFrom:aString decimalPointCharacters:decimalPointCharacters onError:exceptionBlock
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    "
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     Number fromString:'12345' onError:0
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     Number fromString:'fooBarBaz' onError:0
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    "
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    "Modified: / 3.8.1998 / 20:05:34 / cg"
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!
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fromString:aString onError:exceptionBlock
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    "for compatibility with other smalltalks - same as #readFrom:"
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    ^ self readFrom:aString onError:exceptionBlock
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    "
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     Number fromString:'12345' onError:0
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     Number fromString:'fooBarBaz' onError:0
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    "
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    "Modified: / 3.8.1998 / 20:05:34 / cg"
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!
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readFrom:aStringOrStream decimalPointCharacters:decimalPointCharacters 
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    "return the next Number from the (character-)stream aStream;
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     skipping all whitespace first; return the value of exceptionBlock,
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     if no number can be read.
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     This method is less strict than the smalltalk number reader; it
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     allows for prefixed + and also allows missing fractional part after eE"
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    ^ self
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        readFrom:aStringOrStream 
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        decimalPointCharacters:decimalPointCharacters 
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        onError:[self error:'conversion error for: ' , self name]
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    "
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     Number readFrom:'123.456' decimalPointCharacters:'.'      
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     Number readFrom:'123,456' decimalPointCharacters:'.,'     
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     Number readFrom:'123,456' decimalPointCharacters:'.'     
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    "
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!
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readFrom:aStringOrStream decimalPointCharacters:decimalPointCharacters onError:exceptionBlock
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    "return the next Number from the (character-)stream aStream;
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     skipping all whitespace first; return the value of exceptionBlock,
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     if no number can be read.
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     This method is less strict than the smalltalk number reader; it
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     allows for prefixed + and also allows missing fractional part after eE"
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    ^ [
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        |value intValue mantissaAndScale scale decimalMantissa str 
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         nextChar radix sign signExp exp denom|
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        str := aStringOrStream readStream.
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        nextChar := str skipSeparators.
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        nextChar isNil ifTrue:[^ exceptionBlock value].
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        (nextChar == $-) ifTrue:[
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            sign := -1.
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            str next.
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            nextChar := str peekOrNil
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        ] ifFalse:[
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            sign := 1.
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            (nextChar == $+) ifTrue:[
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                str next.
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                nextChar := str peekOrNil
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            ]
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        ].
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        nextChar = $( ifTrue:[
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            "maybe a Fraction e.g. (1/3)"
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            value := self readSmalltalkSyntaxFrom:str.
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            value isNil ifTrue:[^ exceptionBlock value].
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            ^ value * sign
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        ].
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        nextChar isNil ifTrue:[^ exceptionBlock value].    
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        (nextChar isDigit or:[(decimalPointCharacters includes:nextChar)]) ifFalse:[
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            ^ exceptionBlock value.
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"/          value := super readFrom:str.
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"/          sign == -1 ifTrue:[value := value negated].
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"/          ^ value
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        ].
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        (decimalPointCharacters includes:nextChar) ifTrue:[
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            radix := 10.
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            value := 0.0.
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            intValue := 0.
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        ] ifFalse:[
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            value := Integer 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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                str next.
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                radix := value.
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                value := Integer readFrom:str radix:radix.
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            ] ifFalse:[
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                radix := 10
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            ].
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            intValue := value.
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        ].
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        (self == Integer or:[self inheritsFrom:Integer]) ifFalse:[
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            (decimalPointCharacters includes:nextChar) ifTrue:[
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                str next.
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                nextChar := str peekOrNil.
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                decimalMantissa := 0.
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                (nextChar notNil and:[nextChar isDigitRadix:radix]) ifTrue:[
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                    mantissaAndScale := Number readMantissaAndScaleFrom:str radix:radix.
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                    value := value asFloat + (mantissaAndScale first).
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                    nextChar := str peekOrNil
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                ]
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   243
            ].
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            ('eEdDqQ' includes:nextChar) ifTrue:[
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                str next.
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                nextChar := str peekOrNil.
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                signExp := 1.
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                (nextChar == $+) ifTrue:[
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                    str next.
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                    nextChar := str peekOrNil.
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                ] ifFalse:[
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                    (nextChar == $-) ifTrue:[
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                        str next.
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   254
                        nextChar := str peekOrNil.
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                        signExp := -1
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   256
                    ]
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   257
                ].
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   258
                ('qQ' includes:nextChar) ifTrue:[
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   259
                    value := value asLongFloat.
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   260
                ] ifFalse:[
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   261
                    value := value asFloat.
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   262
"/ future: (for now, always create Doubles for Dolphin,Squeak etc. compatibility
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   263
"/                ('eE' includes:nextChar) ifTrue:[
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   264
"/                    value := value asShortFloat
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"/                ]
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   266
                ].
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   267
                (nextChar notNil and:[(nextChar isDigitRadix:radix)]) ifTrue:[
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   268
                    exp := (Integer readFrom:str radix:radix) * signExp.
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   269
                    value := value * ((value class unity * 10.0) raisedToInteger:exp)
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   270
                ]
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   271
            ] ifFalse:[
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   272
                ('s' includes:nextChar) ifTrue:[
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   273
                    str next.
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   274
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   275
                    nextChar := str peekOrNil.
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   276
                    (nextChar notNil and:[ nextChar isDigit]) ifTrue:[
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   277
                        scale := (Integer readFrom:str).
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   278
                    ].
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   279
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   280
                    mantissaAndScale isNil ifTrue:[
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   281
                        value := intValue asFixedPoint:(scale ? 0).
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   282
                    ] ifFalse:[
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   283
                        denom := 10 raisedTo:mantissaAndScale last.
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   284
                        value := FixedPoint 
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   285
                                    numerator:(intValue * denom) + (mantissaAndScale second)
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   286
                                    denominator:denom
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   287
                                    scale:(scale ? mantissaAndScale last).
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   288
                    ].
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   289
                ] ifFalse:[
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   290
                    value isLimitedPrecisionReal ifTrue:[
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   291
                        value := value asFloat.
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   292
                    ]
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   293
                ].
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   294
            ].
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   295
        ].
15197
a78cec832ef3 class: Number
Claus Gittinger <cg@exept.de>
parents: 15127
diff changeset
   296
        sign == -1 ifTrue:[
6632
65014fd967d9 Avoid creation of block in #readFrom:onError:
Stefan Vogel <sv@exept.de>
parents: 6584
diff changeset
   297
            value := value negated
65014fd967d9 Avoid creation of block in #readFrom:onError:
Stefan Vogel <sv@exept.de>
parents: 6584
diff changeset
   298
        ].
65014fd967d9 Avoid creation of block in #readFrom:onError:
Stefan Vogel <sv@exept.de>
parents: 6584
diff changeset
   299
        value.
65014fd967d9 Avoid creation of block in #readFrom:onError:
Stefan Vogel <sv@exept.de>
parents: 6584
diff changeset
   300
    ] on:Error do:exceptionBlock
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   301
329
claus
parents: 325
diff changeset
   302
    "
claus
parents: 325
diff changeset
   303
     Number readFrom:(ReadStream on:'54.32e-01')      
claus
parents: 325
diff changeset
   304
     Number readFrom:(ReadStream on:'12345678901234567890') 
7356
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   305
     Number readFrom:(ReadStream on:'12345678901234567890.0') 
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   306
     Number readFrom:(ReadStream on:'12345678901234567890.012345678901234567890') 
329
claus
parents: 325
diff changeset
   307
     Number readFrom:(ReadStream on:'16rAAAAFFFFAAAAFFFF') 
569
7134eb78cf48 readFrom:onError: can now also read from a string
Claus Gittinger <cg@exept.de>
parents: 530
diff changeset
   308
     Number readFrom:'16rAAAAFFFFAAAAFFFF' 
7134eb78cf48 readFrom:onError: can now also read from a string
Claus Gittinger <cg@exept.de>
parents: 530
diff changeset
   309
     Number readFrom:'0.000001'  
329
claus
parents: 325
diff changeset
   310
     '+00000123.45' asNumber  
15078
997a122ceeb5 class: Number
Stefan Vogel <sv@exept.de>
parents: 14495
diff changeset
   311
     Number readFrom:'(1/3)'      
997a122ceeb5 class: Number
Stefan Vogel <sv@exept.de>
parents: 14495
diff changeset
   312
     Number readFrom:'(-1/3)'      
997a122ceeb5 class: Number
Stefan Vogel <sv@exept.de>
parents: 14495
diff changeset
   313
     Number readFrom:'(-1/3'      
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   314
     Number readFrom:'99s'      
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   315
     Number readFrom:'99.00s'      
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   316
     Number readFrom:'99.0000000s'      
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   317
     Number readFrom:'.0000000s'      
7356
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   318
     Number readFrom:'.0000000q'      
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   319
     Number readFrom:'.0000000f'      
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   320
     Number readFrom:'.0000000e'      
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   321
     Number readFrom:'.0000000s1'      
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   322
     Number readFrom:'.0000000q1'      
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   323
     Number readFrom:'.0000000f1'      
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   324
     Number readFrom:'.0000000e1'      
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   325
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   326
     DecimalPointCharactersForReading := #( $. $, ).   
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   327
     Number readFrom:'99,00'      
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   328
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   329
     DecimalPointCharactersForReading := #( $. ).   
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   330
     Number readFrom:'99,00'      
329
claus
parents: 325
diff changeset
   331
    "
569
7134eb78cf48 readFrom:onError: can now also read from a string
Claus Gittinger <cg@exept.de>
parents: 530
diff changeset
   332
3375
7c64da3964e4 faster conversion from string (due to slow #pastEnd)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
   333
    "Modified: / 14.4.1998 / 19:22:50 / cg"
296
754358c5508a *** empty log message ***
claus
parents: 293
diff changeset
   334
!
754358c5508a *** empty log message ***
claus
parents: 293
diff changeset
   335
9333
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   336
readFrom:aStringOrStream onError:exceptionBlock
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   337
    "return the next Number from the (character-)stream aStream;
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   338
     skipping all whitespace first; return the value of exceptionBlock,
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   339
     if no number can be read.
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   340
     This method is less strict than the smalltalk number reader; it
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   341
     allows for prefixed + and also allows missing fractional part after eE"
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   342
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   343
    ^ self 
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   344
        readFrom:aStringOrStream 
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   345
        decimalPointCharacters:(self decimalPointCharactersForReading) 
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   346
        onError:exceptionBlock
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   347
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   348
    "
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   349
     Number readFrom:(ReadStream on:'54.32e-01')      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   350
     Number readFrom:(ReadStream on:'12345678901234567890') 
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   351
     Number readFrom:(ReadStream on:'12345678901234567890.0') 
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   352
     Number readFrom:(ReadStream on:'12345678901234567890.012345678901234567890') 
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   353
     Number readFrom:(ReadStream on:'16rAAAAFFFFAAAAFFFF') 
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   354
     Number readFrom:'16rAAAAFFFFAAAAFFFF' 
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   355
     Number readFrom:'0.000001'  
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   356
     '+00000123.45' asNumber  
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   357
     Number readFrom:'99s'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   358
     Number readFrom:'99.00s'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   359
     Number readFrom:'99.0000000s'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   360
     Number readFrom:'.0000000s'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   361
     Number readFrom:'.0000000q'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   362
     Number readFrom:'.0000000f'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   363
     Number readFrom:'.0000000e'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   364
     Number readFrom:'.0000000s1'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   365
     Number readFrom:'.0000000q1'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   366
     Number readFrom:'.0000000f1'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   367
     Number readFrom:'.0000000e1'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   368
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   369
     DecimalPointCharactersForReading := #( $. $, ).   
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   370
     Number readFrom:'99,00'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   371
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   372
     DecimalPointCharactersForReading := #( $. ).   
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   373
     Number readFrom:'99,00'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   374
    "
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   375
!
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   376
296
754358c5508a *** empty log message ***
claus
parents: 293
diff changeset
   377
readSmalltalkSyntaxFrom:aStream
754358c5508a *** empty log message ***
claus
parents: 293
diff changeset
   378
    "ST-80 compatibility (thanks to a note from alpha testers)
754358c5508a *** empty log message ***
claus
parents: 293
diff changeset
   379
     read and return the next Number in smalltalk syntax from the 
7356
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   380
     (character-) aStream.
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   381
     Returns nil if aStream contains no valid number."
329
claus
parents: 325
diff changeset
   382
15776
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   383
    ^ self readSmalltalkSyntaxFrom:aStream onError:nil.
296
754358c5508a *** empty log message ***
claus
parents: 293
diff changeset
   384
329
claus
parents: 325
diff changeset
   385
    "
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   386
     Number readSmalltalkSyntaxFrom:'99d'    
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   387
     Number readSmalltalkSyntaxFrom:'99.00d'    
15078
997a122ceeb5 class: Number
Stefan Vogel <sv@exept.de>
parents: 14495
diff changeset
   388
     Number readSmalltalkSyntaxFrom:'54.32e-01'    
997a122ceeb5 class: Number
Stefan Vogel <sv@exept.de>
parents: 14495
diff changeset
   389
     Number readSmalltalkSyntaxFrom:'12345678901234567890'
15776
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   390
     Number readSmalltalkSyntaxFrom:'16rAAAAFFFFAAAAFFFF'   
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   391
     Number readSmalltalkSyntaxFrom:'foobar'     
15078
997a122ceeb5 class: Number
Stefan Vogel <sv@exept.de>
parents: 14495
diff changeset
   392
     Number readSmalltalkSyntaxFrom:'(1/10)' 
15127
6278efcd484d class: Number
Stefan Vogel <sv@exept.de>
parents: 15108
diff changeset
   393
6278efcd484d class: Number
Stefan Vogel <sv@exept.de>
parents: 15108
diff changeset
   394
     Number readSmalltalkSyntaxFrom:'(1/0)' 
6278efcd484d class: Number
Stefan Vogel <sv@exept.de>
parents: 15108
diff changeset
   395
15197
a78cec832ef3 class: Number
Claus Gittinger <cg@exept.de>
parents: 15127
diff changeset
   396
     Number readFrom:'(1/3)' 
15078
997a122ceeb5 class: Number
Stefan Vogel <sv@exept.de>
parents: 14495
diff changeset
   397
     Number readFrom:'(-1/3)'
15197
a78cec832ef3 class: Number
Claus Gittinger <cg@exept.de>
parents: 15127
diff changeset
   398
     Number readFrom:'-(1/3)' 
a78cec832ef3 class: Number
Claus Gittinger <cg@exept.de>
parents: 15127
diff changeset
   399
     Number readFrom:'(1/-3)' 
a78cec832ef3 class: Number
Claus Gittinger <cg@exept.de>
parents: 15127
diff changeset
   400
     Number readFrom:'(-1/-3)' 
a78cec832ef3 class: Number
Claus Gittinger <cg@exept.de>
parents: 15127
diff changeset
   401
     Number readFrom:'-(-1/-3)'   
15078
997a122ceeb5 class: Number
Stefan Vogel <sv@exept.de>
parents: 14495
diff changeset
   402
     Number readSmalltalkSyntaxFrom:'+00000123.45'  
997a122ceeb5 class: Number
Stefan Vogel <sv@exept.de>
parents: 14495
diff changeset
   403
     Number readFrom:'+00000123.45'  
5013
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   404
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   405
     |s|
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   406
     s := ReadStream on:'2.'.
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   407
     Number readSmalltalkSyntaxFrom:s.
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   408
     s next    
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   409
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   410
     |s|
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   411
     s := ReadStream on:'2.0.'.
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   412
     Number readSmalltalkSyntaxFrom:s.
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   413
     s next    
329
claus
parents: 325
diff changeset
   414
    "
3613
75629df7f224 fixed readSmalltalkSyntax (dont read behind number)
Claus Gittinger <cg@exept.de>
parents: 3394
diff changeset
   415
5013
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   416
    "Modified: / 19.11.1999 / 18:26:47 / cg"
15776
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   417
!
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   418
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   419
readSmalltalkSyntaxFrom:aStream onError:errorValue
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   420
    "ST-80 compatibility (thanks to a note from alpha testers)
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   421
     read and return the next Number in smalltalk syntax from the 
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   422
     (character-) aStream.
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   423
     Returns nil if aStream contains no valid number."
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   424
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   425
    |n|
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   426
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   427
    [
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   428
        n := Scanner scanNumberFrom:aStream.
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   429
    ] on:Error do:[:ex|
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   430
        n := nil
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   431
    ].
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   432
    n isNil ifTrue:[^ errorValue value].
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   433
    ^ n
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   434
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   435
    "
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   436
     Number readSmalltalkSyntaxFrom:'foo' onError:123   
e7f5200ad493 class: Number
Claus Gittinger <cg@exept.de>
parents: 15595
diff changeset
   437
    "
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   438
! !
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   439
7729
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
   440
!Number class methodsFor:'constants'!
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
   441
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   442
decimalPointCharacter 
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   443
    "printed"
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   444
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   445
    <resource: #obsolete>
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   446
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   447
    ^ self decimalPointCharacterForPrinting
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   448
!
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   449
8303
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   450
decimalPointCharacter:aCharacter 
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   451
    "printed"
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   452
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   453
    <resource: #obsolete>
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   454
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   455
    self decimalPointCharacterForPrinting:aCharacter
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   456
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   457
    "
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   458
     1.5 printString
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   459
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   460
     Number decimalPointCharacter:$,.
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   461
     1.5 printString       
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   462
     Number decimalPointCharacter:$..
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   463
    "
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   464
!
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   465
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   466
decimalPointCharacterForPrinting 
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   467
    "printed"
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   468
16267
beef1cb9c801 class: Number
Claus Gittinger <cg@exept.de>
parents: 16070
diff changeset
   469
    ^ DecimalPointCharacterForPrinting ? $.
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   470
!
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   471
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   472
decimalPointCharacterForPrinting:aCharacter 
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   473
    "printed"
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   474
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   475
    DecimalPointCharacterForPrinting := aCharacter
8303
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   476
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   477
    "
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   478
     1.5 printString
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   479
9274
f3b231fb2ef7 comments
Claus Gittinger <cg@exept.de>
parents: 9140
diff changeset
   480
     Number decimalPointCharacterForPrinting:$,.
8303
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   481
     1.5 printString       
9274
f3b231fb2ef7 comments
Claus Gittinger <cg@exept.de>
parents: 9140
diff changeset
   482
     Number decimalPointCharacterForPrinting:$..
8303
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   483
    "
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   484
!
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   485
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   486
decimalPointCharacters 
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   487
    "accepted when converting from a string"
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   488
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   489
    <resource: #obsolete>
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   490
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   491
    ^ self decimalPointCharactersForReading
8303
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   492
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   493
    "
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   494
     1.5 printString
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   495
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   496
     Number decimalPointCharacters:#( $. $,) .
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   497
     Number fromString:'1.5'.     
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   498
     Number fromString:'1,5'.     
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   499
     Number decimalPointCharacters:#( $. ).
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   500
    "
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   501
!
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   502
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   503
decimalPointCharacters:aCollectionOfCharacters 
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   504
    "accepted when converting from a string"
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   505
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   506
    <resource: #obsolete>
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   507
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   508
    self decimalPointCharactersForReading:aCollectionOfCharacters 
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   509
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   510
    "
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   511
     Number decimalPointCharacters:#( $. $,) .
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   512
     Number fromString:'1.5'.     
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   513
     Number fromString:'1,5'.     
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   514
     Number decimalPointCharacters:#( $. ).
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   515
    "
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   516
!
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   517
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   518
decimalPointCharactersForReading 
9333
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   519
    "default when converting from a string"
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   520
9333
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   521
    "/ cg: changing the default leads to trouble in some
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   522
    "/ language processors (PrologScanner...)
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   523
    "/ PLEASE DO ONLY CHANGE THE DEFAULT BELOW FOR END-USER APPLICATIONS (if at all).
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   524
    "/ BETTER: pass the DecimalPointCharacterSet explicitly
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   525
    DecimalPointCharactersForReading isNil ifTrue:[
9333
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   526
        ^ #( $. )
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   527
    ].
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   528
    ^ DecimalPointCharactersForReading
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   529
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   530
    "
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   531
     1.5 printString
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   532
9274
f3b231fb2ef7 comments
Claus Gittinger <cg@exept.de>
parents: 9140
diff changeset
   533
     Number decimalPointCharactersForReading:#( $. $,) .
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   534
     Number fromString:'1.5'.     
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   535
     Number fromString:'1,5'.     
9274
f3b231fb2ef7 comments
Claus Gittinger <cg@exept.de>
parents: 9140
diff changeset
   536
     Number decimalPointCharactersForReading:#( $. ).
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   537
    "
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   538
!
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   539
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   540
decimalPointCharactersForReading:aCollectionOfCharacters 
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   541
    "accepted when converting from a string"
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   542
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   543
    DecimalPointCharactersForReading := aCollectionOfCharacters
8303
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   544
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   545
    "
9274
f3b231fb2ef7 comments
Claus Gittinger <cg@exept.de>
parents: 9140
diff changeset
   546
     Number decimalPointCharactersForReading:#( $. $,) .
8303
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   547
     Number fromString:'1.5'.     
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   548
     Number fromString:'1,5'.     
9274
f3b231fb2ef7 comments
Claus Gittinger <cg@exept.de>
parents: 9140
diff changeset
   549
     Number decimalPointCharactersForReading:#( $. ).
8303
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   550
    "
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   551
!
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   552
7729
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
   553
epsilon
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
   554
    "return the maximum relative spacing of instances of mySelf 
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
   555
     (i.e. the value-delta of the least significant bit)"
7729
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
   556
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
   557
     ^ self subclassResponsibility
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
   558
!
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
   559
10727
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   560
epsilonForCloseTo
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   561
    "return the epsilon used in the closeTo: comparison.
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   562
     (useful would be something like self epsilon or epsilon*10,
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   563
      but for Squeak compatibility.... - sigh)"
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   564
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   565
    ^ 0.0001
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   566
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   567
    "
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   568
     Float epsilon     
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   569
     ShortFloat epsilon 
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   570
     Float epsilon10    
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   571
     ShortFloat epsilon10
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   572
    "
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   573
!
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   574
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
   575
pi
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
   576
    "return Pi in my representation (and accuracy)."
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
   577
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
   578
     ^ self subclassResponsibility
7729
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
   579
! !
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
   580
1892
d3564145c15c *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1701
diff changeset
   581
!Number class methodsFor:'error reporting'!
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   582
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   583
raise:aSignalSymbolOrErrorClass receiver:someNumber selector:sel arg:arg errorString:text 
3394
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   584
    "ST-80 compatible signal raising. Provided for PD numeric classes"
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   585
4558
94044dccefab checkin from browser
Claus Gittinger <cg@exept.de>
parents: 3995
diff changeset
   586
    <context: #return>
94044dccefab checkin from browser
Claus Gittinger <cg@exept.de>
parents: 3995
diff changeset
   587
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   588
    ^ self
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   589
        raise:aSignalSymbolOrErrorClass 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   590
        receiver:someNumber 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   591
        selector:sel 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   592
        arguments:(Array with:arg)
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   593
        errorString:text 
3394
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   594
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   595
    "
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   596
     Number 
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   597
        raise:#domainErrorSignal
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   598
        receiver:1.0
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   599
        selector:#sin
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   600
        arg:nil
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   601
        errorString:'foo bar test'
3394
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   602
    "
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   603
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   604
    "Modified: / 16.11.2001 / 14:12:50 / cg"
3394
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   605
!
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   606
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   607
raise:aSignalSymbolOrErrorClass receiver:someNumber selector:sel arguments:argArray errorString:text 
6194
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   608
    "ST-80 compatible signal raising. Provided for PD numeric classes.
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   609
     aSignalSymbolOrErrorClass is either an Error-subclass, or
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   610
     the selector which is sent to myself, to retrieve the Exception class / Signal."
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   611
4558
94044dccefab checkin from browser
Claus Gittinger <cg@exept.de>
parents: 3995
diff changeset
   612
    <context: #return>
94044dccefab checkin from browser
Claus Gittinger <cg@exept.de>
parents: 3995
diff changeset
   613
6194
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   614
    |msg signalOrException|
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   615
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   616
    msg := MessageSend
6194
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   617
                receiver:someNumber
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   618
                selector:sel
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   619
                arguments:argArray.
3394
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   620
6194
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   621
    aSignalSymbolOrErrorClass isSymbol ifTrue:[
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   622
        signalOrException := self perform:aSignalSymbolOrErrorClass.
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   623
    ] ifFalse:[
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   624
        signalOrException := aSignalSymbolOrErrorClass.    "/ assume its an Error-Subclass
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   625
    ].
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   626
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   627
    ^ signalOrException
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   628
         raiseRequestWith:msg 
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   629
         errorString:text 
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   630
         in:thisContext sender
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   631
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   632
    "
3394
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   633
     Number 
6194
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   634
        raise:#domainErrorSignal
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   635
        receiver:1.0
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   636
        selector:#foo 
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   637
        errorString:'foo bar test'
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   638
    "
6194
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   639
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   640
    "Modified: / 16.11.2001 / 14:12:09 / cg"
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   641
!
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   642
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   643
raise:aSignalSymbolOrErrorClass receiver:someNumber selector:sel errorString:text 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   644
    "ST-80 compatible signal raising. Provided for PD numeric classes.
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   645
     aSignalSymbolOrErrorClass is either an Error-subclass, or
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   646
     the selector which is sent to myself, to retrieve the Exception class / Signal."
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   647
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   648
    <context: #return>
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   649
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   650
    ^ self
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   651
        raise:aSignalSymbolOrErrorClass 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   652
        receiver:someNumber 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   653
        selector:sel 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   654
        arguments:#()
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   655
        errorString:text 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   656
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   657
    "
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   658
     Number 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   659
        raise:#domainErrorSignal
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   660
        receiver:1.0
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   661
        selector:#foo 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   662
        errorString:'foo bar test'
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   663
    "
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   664
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   665
    "Modified: / 16.11.2001 / 14:13:16 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   666
! !
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   667
1892
d3564145c15c *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1701
diff changeset
   668
!Number class methodsFor:'private'!
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   669
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   670
readMantissaAndScaleFrom:aStream radix:radix
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   671
    "helper for readFrom: -
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   672
     return the mantissa (post-decimal-point digits) from the (character-)stream aStream;
7356
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   673
     In addition, the scale (number of postDecimalPoint digits) is returned 
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   674
     (to support reading fixedPoint numbers).
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   675
     No whitespace is skipped.
7356
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   676
     Errs if no number is available on aStream."
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   677
10321
c07d199084fc avoid double-send of digitValue
Claus Gittinger <cg@exept.de>
parents: 10320
diff changeset
   678
    |nextChar value factor intMantissa scale digit|
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   679
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   680
    value := 0.0.
10320
a573647dad4f avoid longfloats if possible
Claus Gittinger <cg@exept.de>
parents: 10191
diff changeset
   681
    factor := 1.0 / radix.
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   682
    scale := 0.
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   683
    intMantissa := 0.
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   684
    nextChar := aStream peekOrNil.
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   685
    [nextChar notNil and:[nextChar isDigitRadix:radix]] whileTrue:[
10321
c07d199084fc avoid double-send of digitValue
Claus Gittinger <cg@exept.de>
parents: 10320
diff changeset
   686
        digit := nextChar digitValue.
c07d199084fc avoid double-send of digitValue
Claus Gittinger <cg@exept.de>
parents: 10320
diff changeset
   687
        value := value + (digit * factor).
c07d199084fc avoid double-send of digitValue
Claus Gittinger <cg@exept.de>
parents: 10320
diff changeset
   688
        intMantissa := (intMantissa * radix) + digit.
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   689
        factor := factor / radix.
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   690
        scale := scale + 1.
10320
a573647dad4f avoid longfloats if possible
Claus Gittinger <cg@exept.de>
parents: 10191
diff changeset
   691
        scale > 6 ifTrue:[
a573647dad4f avoid longfloats if possible
Claus Gittinger <cg@exept.de>
parents: 10191
diff changeset
   692
            factor := factor asLongFloat.
a573647dad4f avoid longfloats if possible
Claus Gittinger <cg@exept.de>
parents: 10191
diff changeset
   693
            value := value asLongFloat.
a573647dad4f avoid longfloats if possible
Claus Gittinger <cg@exept.de>
parents: 10191
diff changeset
   694
        ].
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   695
        aStream next.
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   696
        nextChar := aStream peekOrNil
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   697
    ].
7388
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
   698
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   699
    ^ (Array with:value with:intMantissa with:scale).
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   700
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   701
    "
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   702
     Number readMantissaAndScaleFrom:'234'    readStream radix:10. 
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   703
     Number readMantissaAndScaleFrom:'2'      readStream radix:10. 
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   704
     Number readMantissaAndScaleFrom:'234567' readStream radix:10. 
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   705
     Number readMantissaAndScaleFrom:'234000' readStream radix:10. 
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   706
     Number readMantissaAndScaleFrom:'234'    readStream radix:10. 
7356
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   707
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   708
     Number readMantissaAndScaleFrom:'12345678901234567890' readStream radix:10. 
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   709
    "
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   710
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   711
    "Modified: / 14.4.1998 / 18:47:47 / cg"
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   712
!
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   713
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   714
readMantissaFrom:aStream radix:radix
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   715
    "helper for readFrom: -
6692
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   716
     return the mantissa (post-decimal-point digits)
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   717
     from the (character-)stream aStream;
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   718
     No whitespace is skipped.
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   719
     Errs if no number available."
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   720
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   721
    ^ (self readMantissaAndScaleFrom:aStream radix:radix) first
3375
7c64da3964e4 faster conversion from string (due to slow #pastEnd)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
   722
6692
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   723
    "
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   724
     Number readMantissaFrom:'234'    readStream radix:10.
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   725
     Number readMantissaFrom:'2'      readStream radix:10.
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   726
     Number readMantissaFrom:'234567' readStream radix:10.
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   727
    "
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   728
3375
7c64da3964e4 faster conversion from string (due to slow #pastEnd)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
   729
    "Modified: / 14.4.1998 / 18:47:47 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   730
! !
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   731
8892
5d05a7f150a5 +isAbstract
Claus Gittinger <cg@exept.de>
parents: 8844
diff changeset
   732
!Number class methodsFor:'queries'!
5d05a7f150a5 +isAbstract
Claus Gittinger <cg@exept.de>
parents: 8844
diff changeset
   733
5d05a7f150a5 +isAbstract
Claus Gittinger <cg@exept.de>
parents: 8844
diff changeset
   734
isAbstract
11224
a9a66cee404f comment
Claus Gittinger <cg@exept.de>
parents: 11136
diff changeset
   735
    "Return if this class is an abstract class.
a9a66cee404f comment
Claus Gittinger <cg@exept.de>
parents: 11136
diff changeset
   736
     True is returned for Number here; false for subclasses.
a9a66cee404f comment
Claus Gittinger <cg@exept.de>
parents: 11136
diff changeset
   737
     Abstract subclasses must redefine again."
a9a66cee404f comment
Claus Gittinger <cg@exept.de>
parents: 11136
diff changeset
   738
8892
5d05a7f150a5 +isAbstract
Claus Gittinger <cg@exept.de>
parents: 8844
diff changeset
   739
    ^ self == Number
5d05a7f150a5 +isAbstract
Claus Gittinger <cg@exept.de>
parents: 8844
diff changeset
   740
! !
5d05a7f150a5 +isAbstract
Claus Gittinger <cg@exept.de>
parents: 8844
diff changeset
   741
14495
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   742
!Number methodsFor:'*StateSpecs-Specs'!
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   743
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   744
isEqual: aNumber within: accuracy 
15108
ffef3e5a13d5 class: Number
Claus Gittinger <cg@exept.de>
parents: 15100
diff changeset
   745
        ^(self - aNumber) abs < accuracy
14495
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   746
! !
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   747
7261
f35fc9cee675 method category rename
Claus Gittinger <cg@exept.de>
parents: 7214
diff changeset
   748
!Number methodsFor:'Compatibility-Squeak'!
4988
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   749
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   750
asSmallAngleDegrees
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   751
    "Return the receiver normalized to lie within the range (-180, 180)"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   752
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   753
    | pos |
4988
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   754
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   755
    pos := self \\ 360.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   756
    pos > 180 ifTrue: [pos := pos - 360].
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   757
    ^ pos
4988
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   758
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   759
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   760
     #(-500 -300 -150 -5 0 5 150 300 500 1200) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   761
        collect: [:n | n asSmallAngleDegrees]
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   762
    "
6072
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
   763
!
4988
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   764
6335
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   765
closeFrom:aNumber
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   766
    "are these two numbers close?"
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   767
10727
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   768
    ^ self closeFrom:aNumber withEpsilon:(self class epsilonForCloseTo)
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   769
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   770
    "
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   771
     9.0 closeTo: 8.9999     
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   772
     9.9 closeTo: 9          
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   773
     (9/3) closeTo: 2.9999      
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   774
     1 closeTo: 0.9999      
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   775
     1 closeTo: 1.0001      
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   776
     1 closeTo: 1.001       
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   777
     1 closeTo: 0.999       
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   778
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   779
     0.9999 closeTo: 1      
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   780
     1.0001 closeTo: 1      
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   781
     1.001 closeTo: 1     
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   782
     0.999 closeTo: 1
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   783
     Float NaN closeTo:Float NaN
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   784
     Float infinity closeTo:Float infinity
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   785
    "
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   786
!
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   787
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   788
closeFrom:aNumber withEpsilon:eps
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   789
    "are these two numbers close?"
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   790
6335
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   791
    | fuzz |
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   792
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   793
    self isNaN == aNumber isNaN ifFalse: [^ false]. 
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   794
    self isInfinite == aNumber isInfinite ifFalse: [^ false].
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   795
10727
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   796
    fuzz := (self abs max:aNumber abs) * eps. 
6335
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   797
    ^ (self - aNumber) abs <= fuzz
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   798
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   799
    "
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   800
     9.0 closeTo: 8.9999     
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   801
     9.9 closeTo: 9          
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   802
     (9/3) closeTo: 2.9999      
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   803
     1 closeTo: 0.9999      
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   804
     1 closeTo: 1.0001      
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   805
     1 closeTo: 1.001       
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   806
     1 closeTo: 0.999       
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   807
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   808
     0.9999 closeTo: 1      
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   809
     1.0001 closeTo: 1      
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   810
     1.001 closeTo: 1     
6345
cfe5db4fe391 Only comments
Stefan Vogel <sv@exept.de>
parents: 6335
diff changeset
   811
     0.999 closeTo: 1
cfe5db4fe391 Only comments
Stefan Vogel <sv@exept.de>
parents: 6335
diff changeset
   812
     Float NaN closeTo:Float NaN
cfe5db4fe391 Only comments
Stefan Vogel <sv@exept.de>
parents: 6335
diff changeset
   813
     Float infinity closeTo:Float infinity
6335
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   814
    "
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   815
!
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   816
6143
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
   817
closeTo:num
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   818
    "are these two numbers close to each other?"
6143
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
   819
10727
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   820
    ^ self closeTo:num withEpsilon:(self class epsilonForCloseTo)
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   821
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   822
    "
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   823
     1 closeTo:1.0000000001 
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   824
     1 closeTo:1.001
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   825
     1 closeTo:1.001 withEpsilon:0.001
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   826
    "
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   827
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   828
    "Created: / 5.11.2001 / 18:07:26 / cg"
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   829
!
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   830
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   831
closeTo:num withEpsilon:eps
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   832
    "are these two numbers close to each other?"
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   833
6374
fad888313ce3 closeTo: fix
Claus Gittinger <cg@exept.de>
parents: 6345
diff changeset
   834
    num isNumber ifFalse:[^false].
10727
4e6346eb48a9 closeTo: with epsilon parameter
sr
parents: 10556
diff changeset
   835
    ^ num closeFrom:self withEpsilon:eps
6143
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
   836
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
   837
    "
14495
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   838
     1 closeTo:1.0000000001        
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   839
     1 closeTo:1.001               
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   840
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   841
     1 closeTo:1.001 withEpsilon:0.1 
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   842
     1 closeTo:1.201 withEpsilon:0.1 
12979
917a726bf375 comment/format in: #closeTo:withEpsilon:
Claus Gittinger <cg@exept.de>
parents: 12762
diff changeset
   843
917a726bf375 comment/format in: #closeTo:withEpsilon:
Claus Gittinger <cg@exept.de>
parents: 12762
diff changeset
   844
     3.14 closeTo:(3.14 asFixedPoint:2)
917a726bf375 comment/format in: #closeTo:withEpsilon:
Claus Gittinger <cg@exept.de>
parents: 12762
diff changeset
   845
     (3.14 asFixedPoint:2) closeTo:3.14
6143
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
   846
    "
6155
00eaf2fa55bc isReal comment
Claus Gittinger <cg@exept.de>
parents: 6154
diff changeset
   847
12979
917a726bf375 comment/format in: #closeTo:withEpsilon:
Claus Gittinger <cg@exept.de>
parents: 12762
diff changeset
   848
    "Created: / 05-11-2001 / 18:07:26 / cg"
917a726bf375 comment/format in: #closeTo:withEpsilon:
Claus Gittinger <cg@exept.de>
parents: 12762
diff changeset
   849
    "Modified: / 02-08-2010 / 13:27:22 / cg"
6143
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
   850
!
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
   851
9139
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   852
degreeCos
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   853
    "Return the cosine of the receiver taken as an angle in degrees."
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   854
    
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   855
    ^ self degreesToRadians cos
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   856
!
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   857
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   858
degreeSin
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   859
    "Return the sine of the receiver taken as an angle in degrees."
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   860
    
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   861
    ^ self degreesToRadians sin
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   862
!
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   863
11712
b83c3734b1ce added #degreeTan
sr
parents: 11660
diff changeset
   864
degreeTan
b83c3734b1ce added #degreeTan
sr
parents: 11660
diff changeset
   865
    "Return the cosine of the receiver taken as an angle in degrees."
b83c3734b1ce added #degreeTan
sr
parents: 11660
diff changeset
   866
    
b83c3734b1ce added #degreeTan
sr
parents: 11660
diff changeset
   867
    ^ self degreesToRadians tan
b83c3734b1ce added #degreeTan
sr
parents: 11660
diff changeset
   868
!
b83c3734b1ce added #degreeTan
sr
parents: 11660
diff changeset
   869
4988
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   870
newTileMorphRepresentative
15108
ffef3e5a13d5 class: Number
Claus Gittinger <cg@exept.de>
parents: 15100
diff changeset
   871
        ^ TileMorph new addArrows; setLiteral: self; addSuffixIfCan
4988
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   872
!
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   873
14495
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   874
rounded:n
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   875
    "Answer the float rounded with n digits of precision"
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   876
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   877
    | mult |
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   878
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   879
    mult := 10 raisedTo: n.
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   880
    ^ (((self * mult) rounded) asFloat / mult).
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   881
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   882
    "
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   883
     7 rounded:2   
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   884
     7.1 rounded:2    
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   885
     7.2345 rounded:2 
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   886
     7.2385 rounded:2 
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   887
     7.2341 rounded:3   
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   888
     7.2345 rounded:3   
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   889
     7.2348 rounded:3   
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   890
    "
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   891
!
d5afe5bc91f7 added: #rounded:
Claus Gittinger <cg@exept.de>
parents: 14009
diff changeset
   892
4988
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   893
stringForReadout
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   894
    ^ self rounded printString
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   895
! !
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   896
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   897
!Number methodsFor:'coercing & converting'!
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   898
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   899
i
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   900
    "return a complex number, with the receiver as imaginary part, 0 as real part"
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   901
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   902
    ^ Complex
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   903
        real:0
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   904
        imaginary:self
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   905
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   906
    "
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   907
     3i          
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   908
     (1+1i)      
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   909
    "
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   910
! !
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   911
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   912
!Number methodsFor:'converting'!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   913
3634
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   914
% aNumber 
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   915
    "Return a complex number with the receiver as the real part and 
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   916
     aNumber as the imaginary part"
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   917
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   918
    ^ Complex real:self imaginary:aNumber
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   919
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   920
    "Modified: / 9.7.1998 / 10:18:12 / cg"
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   921
!
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   922
11458
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
   923
+/- anError
14009
a2b68a9c9719 comment
Claus Gittinger <cg@exept.de>
parents: 13898
diff changeset
   924
    "return a MeasurementValue with a given error."
11458
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
   925
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
   926
    ^ MeasurementValue value:self minValue:(self-anError) maxValue:(self+anError)
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
   927
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
   928
    "
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
   929
     (100 +/- 5) * 2            
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
   930
     (100 +/- 5) * (100 +/- 10)  
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
   931
     (100 +/- 5) + (100 +/- 10)  
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
   932
     (100 +/- 5) - (100 +/- 10)  
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
   933
    "
14009
a2b68a9c9719 comment
Claus Gittinger <cg@exept.de>
parents: 13898
diff changeset
   934
a2b68a9c9719 comment
Claus Gittinger <cg@exept.de>
parents: 13898
diff changeset
   935
    "Modified (comment): / 14-02-2012 / 14:17:36 / cg"
11458
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
   936
!
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
   937
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   938
@ aNumber
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   939
    "return a Point with the receiver as x-coordinate and the argument
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   940
     as y-coordinate"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   941
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   942
%{  /* NOCONTEXT */
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   943
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   944
    /*
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   945
     * I cannot tell if this special code is worth anything
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   946
     */
5322
411b6c0f7250 renamed sone structures;
Claus Gittinger <cg@exept.de>
parents: 5299
diff changeset
   947
    if (__CanDoQuickNew(sizeof(struct __Point))) {      /* OBJECT ALLOCATION */
7857
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   948
        OBJ newPoint;
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   949
        int spc;
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   950
7857
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   951
        __qCheckedAlignedNew(newPoint, sizeof(struct __Point));
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   952
        __InstPtr(newPoint)->o_class = @global(Point);
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   953
        __qSTORE(newPoint, @global(Point));
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   954
        __PointInstPtr(newPoint)->p_x = self;
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   955
        __PointInstPtr(newPoint)->p_y = aNumber;
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   956
        if (! __bothSmallInteger(self, aNumber)) {
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   957
            spc = __qSpace(newPoint);
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   958
            __STORE_SPC(newPoint, aNumber, spc);
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   959
            __STORE_SPC(newPoint, self, spc);
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   960
        }
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   961
        RETURN ( newPoint );
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   962
    }
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   963
%}
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   964
.
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   965
    ^ Point x:self y:aNumber
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   966
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   967
3634
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   968
asComplex
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   969
    "Return a complex number with the receiver as the real part and 
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   970
     zero as the imaginary part"
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   971
7356
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   972
    ^ Complex real:self
3634
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   973
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   974
    "Modified: / 9.7.1998 / 10:18:16 / cg"
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   975
!
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   976
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   977
asMetaNumber
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   978
    ^ SomeNumber new realNumber:self
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   979
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   980
7214
2315f1d48b84 *** empty log message ***
martin
parents: 6899
diff changeset
   981
asNumber
2315f1d48b84 *** empty log message ***
martin
parents: 6899
diff changeset
   982
2315f1d48b84 *** empty log message ***
martin
parents: 6899
diff changeset
   983
    ^ self.
2315f1d48b84 *** empty log message ***
martin
parents: 6899
diff changeset
   984
!
2315f1d48b84 *** empty log message ***
martin
parents: 6899
diff changeset
   985
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   986
asPoint
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   987
    "return a new Point with the receiver as all coordinates;  
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   988
     often used to supply the same value in two dimensions, as with 
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   989
     symmetrical gridding or scaling."
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   990
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   991
%{  /* NOCONTEXT */
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   992
5322
411b6c0f7250 renamed sone structures;
Claus Gittinger <cg@exept.de>
parents: 5299
diff changeset
   993
    if (__CanDoQuickNew(sizeof(struct __Point))) {      /* OBJECT ALLOCATION */
7857
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   994
        OBJ newPoint;
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   995
7857
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   996
        __qCheckedAlignedNew(newPoint, sizeof(struct __Point));
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   997
        __InstPtr(newPoint)->o_class = @global(Point);
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   998
        __qSTORE(newPoint, @global(Point));
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   999
        __PointInstPtr(newPoint)->p_x = self;
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
  1000
        __PointInstPtr(newPoint)->p_y = self;
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
  1001
        __STORE(newPoint, self);
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
  1002
        RETURN ( newPoint );
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1003
    }
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1004
%}.
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1005
    ^ Point x:self y:self
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1006
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1007
13898
42fd67913187 added: #asTimeDuration
Claus Gittinger <cg@exept.de>
parents: 13631
diff changeset
  1008
asTimeDuration
42fd67913187 added: #asTimeDuration
Claus Gittinger <cg@exept.de>
parents: 13631
diff changeset
  1009
    "return an TimeDuration object from the receiver, taking the receiver
42fd67913187 added: #asTimeDuration
Claus Gittinger <cg@exept.de>
parents: 13631
diff changeset
  1010
     as number of seconds"
42fd67913187 added: #asTimeDuration
Claus Gittinger <cg@exept.de>
parents: 13631
diff changeset
  1011
42fd67913187 added: #asTimeDuration
Claus Gittinger <cg@exept.de>
parents: 13631
diff changeset
  1012
    ^ TimeDuration seconds:self 
42fd67913187 added: #asTimeDuration
Claus Gittinger <cg@exept.de>
parents: 13631
diff changeset
  1013
42fd67913187 added: #asTimeDuration
Claus Gittinger <cg@exept.de>
parents: 13631
diff changeset
  1014
    "
42fd67913187 added: #asTimeDuration
Claus Gittinger <cg@exept.de>
parents: 13631
diff changeset
  1015
     5 asTimeDuration   
42fd67913187 added: #asTimeDuration
Claus Gittinger <cg@exept.de>
parents: 13631
diff changeset
  1016
     50.25 asTimeDuration 
42fd67913187 added: #asTimeDuration
Claus Gittinger <cg@exept.de>
parents: 13631
diff changeset
  1017
     3600 asTimeDuration 
42fd67913187 added: #asTimeDuration
Claus Gittinger <cg@exept.de>
parents: 13631
diff changeset
  1018
    "
42fd67913187 added: #asTimeDuration
Claus Gittinger <cg@exept.de>
parents: 13631
diff changeset
  1019
42fd67913187 added: #asTimeDuration
Claus Gittinger <cg@exept.de>
parents: 13631
diff changeset
  1020
    "Created: / 08-01-2012 / 19:04:04 / cg"
42fd67913187 added: #asTimeDuration
Claus Gittinger <cg@exept.de>
parents: 13631
diff changeset
  1021
!
42fd67913187 added: #asTimeDuration
Claus Gittinger <cg@exept.de>
parents: 13631
diff changeset
  1022
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1023
degreesToRadians
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1024
    "interpreting the receiver as radians, return the degrees"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1025
8203
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
  1026
    ^ self * (Float pi / 180.0)
7388
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
  1027
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
  1028
    "
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
  1029
     180 degreesToRadians
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
  1030
     Float pi radiansToDegrees
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
  1031
    "
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1032
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1033
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1034
literalArrayEncoding
1245
c8afea3d5af0 commentary
Claus Gittinger <cg@exept.de>
parents: 1210
diff changeset
  1035
    "encode myself as an array literal, from which a copy of the receiver
c8afea3d5af0 commentary
Claus Gittinger <cg@exept.de>
parents: 1210
diff changeset
  1036
     can be reconstructed with #decodeAsLiteralArray."
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1037
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1038
    ^ self
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1039
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1040
    "Modified: 1.9.1995 / 02:25:26 / claus"
1245
c8afea3d5af0 commentary
Claus Gittinger <cg@exept.de>
parents: 1210
diff changeset
  1041
    "Modified: 22.4.1996 / 13:00:27 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1042
!
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
radiansToDegrees
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1045
    "interpreting the receiver as degrees, return the radians"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1046
8203
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
  1047
    ^ self * (180.0 / Float pi)
7388
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
  1048
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
  1049
    "
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
  1050
     180 degreesToRadians     
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
  1051
     Float pi radiansToDegrees
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
  1052
    "
6637
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
  1053
!
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
  1054
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
  1055
withScale:newScale
8203
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
  1056
    "return a fixedPoint number representing the same value as the receiver, 
6637
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
  1057
     with newScale number of post-decimal digits"
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
  1058
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
  1059
    ^ self asFixedPoint:newScale
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
  1060
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
  1061
    "
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
  1062
     1234 withScale:2 
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
  1063
     1234.1 withScale:2 
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
  1064
     1234.12 withScale:2 
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
  1065
     1234.123 withScale:2 
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
  1066
     (1/7) withScale:2
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
  1067
    "
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1068
! !
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1069
11008
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1070
!Number methodsFor:'converting-times'!
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1071
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1072
days
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1073
    "return a TimeDuration representing this number of days"
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1074
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1075
    ^ TimeDuration days:self
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1076
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1077
    "
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1078
     1000 milliseconds 
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1079
     10 seconds 
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1080
     10 minutes 
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1081
     1 days 
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1082
    "
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1083
!
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1084
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1085
hours
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1086
    "return a TimeDuration representing this number of hours"
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1087
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1088
    ^ TimeDuration hours:self
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1089
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1090
    "
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1091
     1000 milliseconds 
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1092
     10 seconds 
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1093
     10 minutes 
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1094
    "
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1095
!
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1096
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1097
milliseconds
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1098
    "return a TimeDuration representing this number of milliseconds"
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1099
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1100
    ^ TimeDuration fromMilliseconds:self
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1101
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1102
    "
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1103
     1000 milliseconds 
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1104
    "
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1105
!
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1106
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1107
minutes
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1108
    "return a TimeDuration representing this number of minutes"
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1109
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1110
    ^ TimeDuration minutes:self
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1111
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1112
    "
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1113
     1000 milliseconds 
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1114
     10 seconds 
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1115
     10 minutes 
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1116
    "
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1117
!
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1118
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1119
seconds
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1120
    "return a TimeDuration representing this number of seconds"
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1121
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1122
    ^ TimeDuration seconds:self
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1123
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1124
    "
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1125
     1000 milliseconds 
11770
37bd8fc58d59 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 11712
diff changeset
  1126
     10 seconds      
37bd8fc58d59 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 11712
diff changeset
  1127
     10 minutes      
11008
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1128
    "
13631
82875f651ca6 added: #weeks
Claus Gittinger <cg@exept.de>
parents: 12979
diff changeset
  1129
!
82875f651ca6 added: #weeks
Claus Gittinger <cg@exept.de>
parents: 12979
diff changeset
  1130
82875f651ca6 added: #weeks
Claus Gittinger <cg@exept.de>
parents: 12979
diff changeset
  1131
weeks
82875f651ca6 added: #weeks
Claus Gittinger <cg@exept.de>
parents: 12979
diff changeset
  1132
    "return a TimeDuration representing this number of weeks"
82875f651ca6 added: #weeks
Claus Gittinger <cg@exept.de>
parents: 12979
diff changeset
  1133
82875f651ca6 added: #weeks
Claus Gittinger <cg@exept.de>
parents: 12979
diff changeset
  1134
    ^ TimeDuration weeks:self
82875f651ca6 added: #weeks
Claus Gittinger <cg@exept.de>
parents: 12979
diff changeset
  1135
82875f651ca6 added: #weeks
Claus Gittinger <cg@exept.de>
parents: 12979
diff changeset
  1136
    "
82875f651ca6 added: #weeks
Claus Gittinger <cg@exept.de>
parents: 12979
diff changeset
  1137
     1000 milliseconds 
82875f651ca6 added: #weeks
Claus Gittinger <cg@exept.de>
parents: 12979
diff changeset
  1138
     10 seconds 
82875f651ca6 added: #weeks
Claus Gittinger <cg@exept.de>
parents: 12979
diff changeset
  1139
     10 minutes 
82875f651ca6 added: #weeks
Claus Gittinger <cg@exept.de>
parents: 12979
diff changeset
  1140
     1 days 
82875f651ca6 added: #weeks
Claus Gittinger <cg@exept.de>
parents: 12979
diff changeset
  1141
     1 weeks 
82875f651ca6 added: #weeks
Claus Gittinger <cg@exept.de>
parents: 12979
diff changeset
  1142
    "
82875f651ca6 added: #weeks
Claus Gittinger <cg@exept.de>
parents: 12979
diff changeset
  1143
82875f651ca6 added: #weeks
Claus Gittinger <cg@exept.de>
parents: 12979
diff changeset
  1144
    "Created: / 05-09-2011 / 11:17:59 / cg"
11008
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1145
! !
5a92714a522b timeDuration conversions added
Michael Beyl <mb@exept.de>
parents: 10727
diff changeset
  1146
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1147
!Number methodsFor:'intervals'!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1148
6072
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
  1149
downTo:stop
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
  1150
    "return an interval from receiver down to the argument, incrementing by -1"
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
  1151
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
  1152
    ^ self to:stop by:-1
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
  1153
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
  1154
    "
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
  1155
     (10 downTo:1) do:[:i | Transcript showCR:i].
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
  1156
    "
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
  1157
!
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
  1158
15595
fa5010435cda class: Number
Claus Gittinger <cg@exept.de>
parents: 15197
diff changeset
  1159
downTo:stop by:step
fa5010435cda class: Number
Claus Gittinger <cg@exept.de>
parents: 15197
diff changeset
  1160
    "return an interval from receiver down to the argument, decrementing by step"
fa5010435cda class: Number
Claus Gittinger <cg@exept.de>
parents: 15197
diff changeset
  1161
fa5010435cda class: Number
Claus Gittinger <cg@exept.de>
parents: 15197
diff changeset
  1162
    ^ self to:stop by:step negated
fa5010435cda class: Number
Claus Gittinger <cg@exept.de>
parents: 15197
diff changeset
  1163
fa5010435cda class: Number
Claus Gittinger <cg@exept.de>
parents: 15197
diff changeset
  1164
    "
fa5010435cda class: Number
Claus Gittinger <cg@exept.de>
parents: 15197
diff changeset
  1165
     (10 downTo:1 by:0.5) do:[:i | Transcript showCR:i].
fa5010435cda class: Number
Claus Gittinger <cg@exept.de>
parents: 15197
diff changeset
  1166
    "
fa5010435cda class: Number
Claus Gittinger <cg@exept.de>
parents: 15197
diff changeset
  1167
fa5010435cda class: Number
Claus Gittinger <cg@exept.de>
parents: 15197
diff changeset
  1168
    "Created: / 01-08-2013 / 14:36:56 / cg"
fa5010435cda class: Number
Claus Gittinger <cg@exept.de>
parents: 15197
diff changeset
  1169
!
fa5010435cda class: Number
Claus Gittinger <cg@exept.de>
parents: 15197
diff changeset
  1170
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1171
to:stop
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1172
    "return an interval from receiver up to the argument, incrementing by 1"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1173
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1174
    ^ Interval from:self to:stop
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1175
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1176
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1177
to:stop by:step
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1178
    "return an interval from receiver up to the argument, incrementing by step"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1179
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1180
    ^ Interval from:self to:stop by:step
6154
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1181
!
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1182
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1183
to:stop byFactor:factor
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1184
    "return a geometric series from receiver up to the argument;
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1185
     elements have a constant factor in between"
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1186
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1187
    ^ GeometricSeries from:self to:stop byFactor:factor
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1188
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1189
    "
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1190
     (1 to:256 byFactor:2)
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1191
     (256 to:1 byFactor:1/2)     
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1192
    "
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1193
! !
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1194
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1195
!Number methodsFor:'iteration'!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1196
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1197
timesRepeat:aBlock
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1198
    "evaluate the argument, aBlock self times"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1199
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1200
    |count|
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1201
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1202
    count := self.
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1203
    [count > 0] whileTrue:[
15108
ffef3e5a13d5 class: Number
Claus Gittinger <cg@exept.de>
parents: 15100
diff changeset
  1204
        aBlock value.
ffef3e5a13d5 class: Number
Claus Gittinger <cg@exept.de>
parents: 15100
diff changeset
  1205
        count := count - 1
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1206
    ]
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1207
! !
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1208
3634
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1209
!Number methodsFor:'mathematical functions'!
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1210
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1211
conjugated
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1212
    "Return the complex conjugate of this Number."
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1213
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1214
    ^ self
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1215
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1216
    "Modified: / 9.7.1998 / 10:17:31 / cg"
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1217
!
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1218
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1219
exp
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1220
    "compute e**x of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1221
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1222
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1223
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1224
        ^ self asFloat exp.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1225
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1226
    ^ self exp_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1227
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1228
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1229
floorLog:radix
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1230
    "return the logarithm truncated as an integer"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1231
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1232
    ^ (self log:radix) floor
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1233
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1234
3634
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1235
imaginary
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1236
    "Return the imaginary part of this Number."
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1237
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1238
    ^ 0
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1239
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1240
    "Modified: / 9.7.1998 / 10:17:24 / cg"
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1241
!
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1242
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1243
ln
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1244
    "compute ln of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1245
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1246
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1247
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1248
        ^ self asFloat ln.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1249
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1250
    ^ self ln_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1251
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1252
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1253
log
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1254
    "return log base 10 of the receiver.
12584
d32f98e9b219 comment/format in: #log
Claus Gittinger <cg@exept.de>
parents: 12112
diff changeset
  1255
     Alias for log:10."
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1256
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1257
    ^ self log10
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1258
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1259
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1260
log10
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1261
    "return log base 10 of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1262
10550
0f2a07595d1c Fix bug 641: changed #log10 to be more accurate
Stefan Vogel <sv@exept.de>
parents: 10325
diff changeset
  1263
    (self isLimitedPrecisionReal not
0f2a07595d1c Fix bug 641: changed #log10 to be more accurate
Stefan Vogel <sv@exept.de>
parents: 10325
diff changeset
  1264
    or:[self generality < 1.0 generality]) ifTrue:[
0f2a07595d1c Fix bug 641: changed #log10 to be more accurate
Stefan Vogel <sv@exept.de>
parents: 10325
diff changeset
  1265
        ^ self asFloat log10.
0f2a07595d1c Fix bug 641: changed #log10 to be more accurate
Stefan Vogel <sv@exept.de>
parents: 10325
diff changeset
  1266
    ].
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1267
    ^ self log:10
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1268
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1269
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1270
log:aNumber
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1271
    "return log base aNumber of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1272
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1273
    ^ self ln / aNumber ln
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1274
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1275
    "
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1276
      1000 log:10
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1277
      (1000 log:10) floor
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1278
    "
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1279
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1280
7468
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1281
raisedTo:aNumber
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1282
    "return the receiver raised to aNumber"
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1283
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1284
    aNumber = 0 ifTrue:[^ 1].
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1285
    aNumber = 1 ifTrue:[^ self].
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1286
    aNumber isInteger ifTrue:[
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1287
        ^ self raisedToInteger:aNumber
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1288
    ].
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1289
    ^ self asFloat raisedTo:aNumber
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1290
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1291
    "
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1292
     2 raisedTo: 4    
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1293
     10 raisedTo: 4    
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1294
    "
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1295
!
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1296
3634
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1297
real
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1298
    "Return the real part of this Number."
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1299
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1300
    ^ self
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1301
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1302
    "Modified: / 9.7.1998 / 10:17:17 / cg"
6258
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1303
!
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1304
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1305
sqrt
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1306
    "return the square root of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1307
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1308
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1309
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1310
        ^ self asFloat sqrt.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1311
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1312
    ^ self sqrt_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1313
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1314
10191
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1315
sqrtWithErrorLessThan:epsilon
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1316
    "compute the square root, using the Newton method.
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1317
     The approximated return value has an error less than the given epsilon."
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1318
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1319
    |y yN|
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1320
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1321
    yN := self / 2.
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1322
    [
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1323
       y := yN.
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1324
       yN := ( y + (self / y) ) / 2.
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1325
    ] doUntil:[ (yN - y) abs < epsilon ].
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1326
    ^ yN.
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1327
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1328
    "
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1329
     (2 asFixedPoint:4) sqrtWithErrorLessThan:0.001   
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1330
    "
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1331
!
4974027704a5 sqrtWithErrorLessThan:
Claus Gittinger <cg@exept.de>
parents: 9333
diff changeset
  1332
6258
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1333
timesTwoPower:anInteger
12762
a41a496d8c61 changed: #timesTwoPower:
Claus Gittinger <cg@exept.de>
parents: 12759
diff changeset
  1334
    "Return the receiver multiplied by 2 raised to the power of the argument.
6258
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1335
     For protocol completeness wrt. Squeak and ST80."
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1336
12762
a41a496d8c61 changed: #timesTwoPower:
Claus Gittinger <cg@exept.de>
parents: 12759
diff changeset
  1337
    anInteger >= 0 ifTrue:[
a41a496d8c61 changed: #timesTwoPower:
Claus Gittinger <cg@exept.de>
parents: 12759
diff changeset
  1338
        ^ self * (1 bitShift:anInteger)
a41a496d8c61 changed: #timesTwoPower:
Claus Gittinger <cg@exept.de>
parents: 12759
diff changeset
  1339
    ].
a41a496d8c61 changed: #timesTwoPower:
Claus Gittinger <cg@exept.de>
parents: 12759
diff changeset
  1340
    ^ self / (1 bitShift:anInteger negated)
6258
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1341
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1342
    "
12762
a41a496d8c61 changed: #timesTwoPower:
Claus Gittinger <cg@exept.de>
parents: 12759
diff changeset
  1343
     123 timesTwoPower:0   -> 123
a41a496d8c61 changed: #timesTwoPower:
Claus Gittinger <cg@exept.de>
parents: 12759
diff changeset
  1344
     123 timesTwoPower:1   -> 246
a41a496d8c61 changed: #timesTwoPower:
Claus Gittinger <cg@exept.de>
parents: 12759
diff changeset
  1345
     123 timesTwoPower:2   -> 492
a41a496d8c61 changed: #timesTwoPower:
Claus Gittinger <cg@exept.de>
parents: 12759
diff changeset
  1346
     123 timesTwoPower:3   -> 984
a41a496d8c61 changed: #timesTwoPower:
Claus Gittinger <cg@exept.de>
parents: 12759
diff changeset
  1347
a41a496d8c61 changed: #timesTwoPower:
Claus Gittinger <cg@exept.de>
parents: 12759
diff changeset
  1348
     (2 timesTwoPower: -150) timesTwoPower: 150  -> 2
6258
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1349
    "
3634
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1350
! !
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1351
11458
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
  1352
!Number methodsFor:'measurement values'!
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
  1353
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
  1354
maxValue
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
  1355
    "the maximum possible value taking me as a measurement with possible error; 
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
  1356
     as I am exact, thats myself"
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
  1357
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
  1358
    ^ self
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
  1359
!
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
  1360
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
  1361
minValue
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
  1362
    "the minimum possible value taking me as a measurement with possible error; 
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
  1363
     as I am exact, thats myself"
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
  1364
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
  1365
    ^ self
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
  1366
! !
d668f83e44d1 measurement support
Claus Gittinger <cg@exept.de>
parents: 11224
diff changeset
  1367
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1368
!Number methodsFor:'printing & storing'!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1369
5299
92b363dbd833 added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1370
printOn:aStream paddedWith:padCharacter to:size base:radix
92b363dbd833 added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1371
    |s|
92b363dbd833 added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1372
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
  1373
    radix == 10 ifTrue:[
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
  1374
        s := self printString.
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
  1375
    ] ifFalse:[
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
  1376
        s := self printStringRadix:radix.
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
  1377
    ].
5299
92b363dbd833 added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1378
    s printOn: aStream leftPaddedTo:size with: padCharacter
11098
bfc609a33e11 comments
Claus Gittinger <cg@exept.de>
parents: 11097
diff changeset
  1379
bfc609a33e11 comments
Claus Gittinger <cg@exept.de>
parents: 11097
diff changeset
  1380
    "
bfc609a33e11 comments
Claus Gittinger <cg@exept.de>
parents: 11097
diff changeset
  1381
     100 printOn:Transcript paddedWith:$0 to:10 base:10.     Transcript cr.
bfc609a33e11 comments
Claus Gittinger <cg@exept.de>
parents: 11097
diff changeset
  1382
     100 printOn:Transcript paddedWith:$0 to:10 base:16.     Transcript cr.
bfc609a33e11 comments
Claus Gittinger <cg@exept.de>
parents: 11097
diff changeset
  1383
     100 printOn:Transcript paddedWith:(Character space) to:10 base:16.     Transcript cr.
bfc609a33e11 comments
Claus Gittinger <cg@exept.de>
parents: 11097
diff changeset
  1384
     100 printOn:Transcript paddedWith:(Character space) to:10 base:2.     Transcript cr.
bfc609a33e11 comments
Claus Gittinger <cg@exept.de>
parents: 11097
diff changeset
  1385
    "
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
  1386
!
5299
92b363dbd833 added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1387
11096
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1388
printOn:aStream thousandsSeparator:thousandsSeparator
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1389
    "print the receiver as business number with thousands separator to aStream.
11136
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1390
     thousandsSeparator is locale specific and is usualy a single quote ('), a comma or period."
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1391
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1392
    |rest|
11096
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1393
11594
5440d97af571 #printStringWithThousandsSeparator fix for non-integers
Stefan Vogel <sv@exept.de>
parents: 11526
diff changeset
  1394
    self >= 1000 ifTrue:[
11096
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1395
        (self // 1000) printOn:aStream thousandsSeparator:thousandsSeparator.
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1396
        thousandsSeparator printOn:aStream.
11136
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1397
        rest := self \\ 1000.
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1398
        rest < 100 ifTrue:[
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1399
            aStream nextPut:$0.
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1400
            rest < 10 ifTrue:[
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1401
                aStream nextPut:$0.
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1402
            ].
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1403
        ].
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1404
        rest printOn:aStream.
11096
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1405
        ^ self.
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1406
    ].
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1407
    self printOn:aStream.
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1408
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1409
    "
11097
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1410
     swiss style:
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1411
     1000000 printOn:Transcript thousandsSeparator:$'.     Transcript cr.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1412
     12345678 printOn:Transcript thousandsSeparator:$'.     Transcript cr.  
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1413
     1234567 printOn:Transcript thousandsSeparator:$'.     Transcript cr.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1414
     123456 printOn:Transcript thousandsSeparator:$'.     Transcript cr.
11136
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1415
     123056 printOn:Transcript thousandsSeparator:$'.     Transcript cr.
11097
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1416
     12345 printOn:Transcript thousandsSeparator:$'.     Transcript cr.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1417
     1234 printOn:Transcript thousandsSeparator:$'.     Transcript cr.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1418
     123 printOn:Transcript thousandsSeparator:$'.     Transcript cr.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1419
11136
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1420
     (12345678.12 asFixedPoint:2) printOn:Transcript thousandsSeparator:$'.     Transcript cr.  
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1421
     1234567.12 printOn:Transcript thousandsSeparator:$'.     Transcript cr.
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1422
     123456.12 printOn:Transcript thousandsSeparator:$'.     Transcript cr.
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1423
     123056.12 printOn:Transcript thousandsSeparator:$'.     Transcript cr.
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1424
     12345.12 printOn:Transcript thousandsSeparator:$'.     Transcript cr.
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1425
     1234.12 printOn:Transcript thousandsSeparator:$'.     Transcript cr.
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1426
     123.12 printOn:Transcript thousandsSeparator:$'.     Transcript cr.
ac25ee31e086 fix printOn:thousandsSeparator when there is a 0 behind a separator
Stefan Vogel <sv@exept.de>
parents: 11098
diff changeset
  1427
11097
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1428
     us style:
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1429
     1000000 printOn:Transcript thousandsSeparator:$,.     Transcript cr.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1430
     12345678 printOn:Transcript thousandsSeparator:$,.     Transcript cr.  
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1431
     1234567 printOn:Transcript thousandsSeparator:$,.     Transcript cr.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1432
     123456 printOn:Transcript thousandsSeparator:$,.     Transcript cr.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1433
     12345 printOn:Transcript thousandsSeparator:$,.     Transcript cr.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1434
     1234 printOn:Transcript thousandsSeparator:$,.     Transcript cr.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1435
     123 printOn:Transcript thousandsSeparator:$,.     Transcript cr.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1436
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1437
     german (european ?) style
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1438
     1000000 printOn:Transcript thousandsSeparator:$..     Transcript cr.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1439
     12345678 printOn:Transcript thousandsSeparator:$..     Transcript cr.  
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1440
     1234567 printOn:Transcript thousandsSeparator:$..     Transcript cr.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1441
     123456 printOn:Transcript thousandsSeparator:$..     Transcript cr.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1442
     12345 printOn:Transcript thousandsSeparator:$..     Transcript cr.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1443
     1234 printOn:Transcript thousandsSeparator:$..     Transcript cr.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1444
     123 printOn:Transcript thousandsSeparator:$..     Transcript cr.
11096
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1445
    "
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1446
!
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1447
11660
62a726d91255 new: #printStringFormat:
Stefan Vogel <sv@exept.de>
parents: 11594
diff changeset
  1448
printStringFormat:formatString
62a726d91255 new: #printStringFormat:
Stefan Vogel <sv@exept.de>
parents: 11594
diff changeset
  1449
    ^ self printfPrintString:formatString
62a726d91255 new: #printStringFormat:
Stefan Vogel <sv@exept.de>
parents: 11594
diff changeset
  1450
!
62a726d91255 new: #printStringFormat:
Stefan Vogel <sv@exept.de>
parents: 11594
diff changeset
  1451
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
  1452
printStringRadix:radix
11098
bfc609a33e11 comments
Claus Gittinger <cg@exept.de>
parents: 11097
diff changeset
  1453
    "only implemented for integers"
bfc609a33e11 comments
Claus Gittinger <cg@exept.de>
parents: 11097
diff changeset
  1454
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
  1455
    self subclassResponsibility
11098
bfc609a33e11 comments
Claus Gittinger <cg@exept.de>
parents: 11097
diff changeset
  1456
bfc609a33e11 comments
Claus Gittinger <cg@exept.de>
parents: 11097
diff changeset
  1457
    "
bfc609a33e11 comments
Claus Gittinger <cg@exept.de>
parents: 11097
diff changeset
  1458
     100 printStringRadix:10.     
bfc609a33e11 comments
Claus Gittinger <cg@exept.de>
parents: 11097
diff changeset
  1459
     100 printStringRadix:16.     
bfc609a33e11 comments
Claus Gittinger <cg@exept.de>
parents: 11097
diff changeset
  1460
     100 printStringRadix:2.     
bfc609a33e11 comments
Claus Gittinger <cg@exept.de>
parents: 11097
diff changeset
  1461
    "
5299
92b363dbd833 added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1462
!
92b363dbd833 added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1463
11096
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1464
printStringWithThousandsSeparator
11097
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1465
    "print the receiver as swiss business number with thousands separator to aStream.
11096
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1466
     Caveat: Should use the separator from the locale here"
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1467
11097
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1468
    ^ self printStringWithThousandsSeparator:$'.
11096
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1469
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1470
    "
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1471
     1000000 printStringWithThousandsSeparator
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1472
     12345678 printStringWithThousandsSeparator
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1473
     1234567 printStringWithThousandsSeparator
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1474
     123456 printStringWithThousandsSeparator
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1475
     12345 printStringWithThousandsSeparator
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1476
     1234 printStringWithThousandsSeparator
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1477
     123 printStringWithThousandsSeparator
11097
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1478
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1479
     1000000 asFixedPoint printStringWithThousandsSeparator
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1480
     12345678 asFixedPoint printStringWithThousandsSeparator
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1481
     1234567 asFixedPoint printStringWithThousandsSeparator  
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1482
     123456 asFixedPoint printStringWithThousandsSeparator
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1483
     12345 asFixedPoint printStringWithThousandsSeparator 
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1484
     1234 asFixedPoint printStringWithThousandsSeparator 
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1485
     123 asFixedPoint printStringWithThousandsSeparator
11594
5440d97af571 #printStringWithThousandsSeparator fix for non-integers
Stefan Vogel <sv@exept.de>
parents: 11526
diff changeset
  1486
     ((9999999//10000) asFixedPoint:9) printStringWithThousandsSeparator 
11097
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1487
    "
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1488
!
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1489
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1490
printStringWithThousandsSeparator:thousandsSeparator
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1491
    "print the receiver as business number with a thousands separator to aStream.
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1492
     Notice:
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1493
        americans use comma
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1494
        germans (europeans ?) use a dot
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1495
        swiss people (business people ?) use a single quote
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1496
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1497
     Caveat: Should use the separator from the locale here"
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1498
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1499
    ^ String streamContents:[:s | self printOn:s thousandsSeparator:thousandsSeparator].
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1500
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1501
    "
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1502
     Transcript showCR:(1000000 printStringWithThousandsSeparator:$').
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1503
     Transcript showCR:(12345678 printStringWithThousandsSeparator:$').
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1504
     Transcript showCR:(1234567 printStringWithThousandsSeparator:$').
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1505
     Transcript showCR:(123456 printStringWithThousandsSeparator:$').
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1506
     Transcript showCR:(12345 printStringWithThousandsSeparator:$').
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1507
     Transcript showCR:(1234 printStringWithThousandsSeparator:$').
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1508
     Transcript showCR:(123 printStringWithThousandsSeparator:$').
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1509
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1510
     Transcript showCR:(1000000 printStringWithThousandsSeparator:$,).
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1511
     Transcript showCR:(12345678 printStringWithThousandsSeparator:$,).
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1512
     Transcript showCR:(1234567 printStringWithThousandsSeparator:$,).
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1513
     Transcript showCR:(123456 printStringWithThousandsSeparator:$,).
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1514
     Transcript showCR:(12345 printStringWithThousandsSeparator:$,).
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1515
     Transcript showCR:(1234 printStringWithThousandsSeparator:$,).
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1516
     Transcript showCR:(123 printStringWithThousandsSeparator:$,).
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1517
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1518
     Transcript showCR:((1000000 asFixedPoint:2) printStringWithThousandsSeparator:$,).
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1519
     Transcript showCR:((12345678 asFixedPoint:2) printStringWithThousandsSeparator:$,).
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1520
     Transcript showCR:((1234567 asFixedPoint:2) printStringWithThousandsSeparator:$,).  
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1521
     Transcript showCR:((123456 asFixedPoint:2) printStringWithThousandsSeparator:$,).
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1522
     Transcript showCR:((12345 asFixedPoint:2) printStringWithThousandsSeparator:$,). 
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1523
     Transcript showCR:((1234 asFixedPoint:2) printStringWithThousandsSeparator:$,). 
5e4961639e41 printStringWithThousandsSep comments and refactored
Claus Gittinger <cg@exept.de>
parents: 11096
diff changeset
  1524
     Transcript showCR:((123 asFixedPoint:2) printStringWithThousandsSeparator:$,).
11096
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1525
    "
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1526
!
19d6c993e67f printStringWithThousandsSep moved up (also valid for FixedPoint Decimals)
Claus Gittinger <cg@exept.de>
parents: 11008
diff changeset
  1527
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1528
storeOn:aStream
11460
146fb82b5523 comment
Claus Gittinger <cg@exept.de>
parents: 11458
diff changeset
  1529
    "append a string for storing the receiver onto the argument, aStream
146fb82b5523 comment
Claus Gittinger <cg@exept.de>
parents: 11458
diff changeset
  1530
     - since numbers are literals,they store as they print."
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1531
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1532
    ^ self printOn:aStream
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1533
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1534
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1535
storeString
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1536
    "return a string for storing 
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1537
     - since numbers are literals, they store as they print."
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1538
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1539
    ^ self printString
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1540
! !
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1541
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1542
!Number methodsFor:'taylor series'!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1543
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1544
arcSin_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1545
    "compute the arcSine of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1546
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1547
    "/ uses taylor series:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1548
    "/                 1*x^3   1*3 * x^5   
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1549
    "/    arcSin = x + ----- + ---------- + ...
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1550
    "/                 2* 3    2*4 *  5    
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1551
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1552
    |x2 num numf den denf approx delta|
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1553
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1554
    ((self < -1) or:[self > 1]) ifTrue:[ 
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1555
        ^ self class
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1556
            raise:#domainErrorSignal
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1557
            receiver:self
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1558
            selector:#arcSin
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1559
            arguments:#()
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1560
            errorString:'bad receiver in arcSin'
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1561
    ].
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1562
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1563
    x2 := self * self.
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1564
    num := x2 * self.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1565
    approx := self + (num / 6).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1566
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1567
    numf := 3.
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1568
    denf := 4.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1569
    den := 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1570
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1571
    [
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1572
        num := (num * x2) * numf.   numf := numf + 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1573
        den := den * denf.          denf := denf + 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1574
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1575
        delta := num / (den * numf).
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1576
        approx := approx + delta.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1577
    ] doUntil:[delta abs <= epsilon].
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1578
    ^ approx
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1579
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1580
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1581
     0.5 arcSin                                    0.523599
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1582
     0.5q arcSin                        0.523598776
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1583
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1584
     0.5q arcSin_withAccuracy:1         0.520833333
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1585
     0.5q arcSin_withAccuracy:0.1       0.520833333
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1586
     0.5q arcSin_withAccuracy:0.01      0.523177083
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1587
     0.5q arcSin_withAccuracy:0.001     0.523525856
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1588
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1589
     0.5q arcSin_withAccuracy:1e-20     0.523598776
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1590
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1591
     0.5 asLargeFloat arcSin_withAccuracy:1e-30    -- not yet 
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1592
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1593
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1594
     0.1 arcSin                                    0.100167
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1595
     0.1q arcSin                        0.100167421
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1596
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1597
     0.1q arcSin_withAccuracy:1         0.100166667
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1598
     0.1q arcSin_withAccuracy:0.1       0.100166667
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1599
     0.1q arcSin_withAccuracy:0.01      0.100166667
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1600
     0.1q arcSin_withAccuracy:0.001     0.100166667
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1601
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1602
     0.1q arcSin_withAccuracy:1e-20     0.100167421
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1603
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1604
     0.1 asLargeFloat arcSin_withAccuracy:1e-30    -- not yet 
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1605
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1606
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1607
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1608
arcTan_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1609
    "compute the arcTangent of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1610
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1611
    "/ uses taylor series:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1612
    "/                 x^3   x^5   x^7
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1613
    "/ arcTan(x) = x - --- + --- - --- ...
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1614
    "/                  3     5    7
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1615
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1616
    |x2 num den approx delta|
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1617
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1618
    x2 := self * self.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1619
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1620
    num := (x2 * self) negated.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1621
    den := 3.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1622
    approx := self + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1623
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1624
    [
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1625
        den := den + 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1626
        num := (num * x2) negated.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1627
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1628
        delta := num / den.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1629
        approx := approx + delta.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1630
    ] doUntil:[delta abs <= epsilon].
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1631
    ^ approx
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1632
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1633
    "
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1634
     1.0 arcTan                       0.785398
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1635
     1q arcTan                        0.785398163
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1636
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1637
     1q arcTan_withAccuracy:1         0.666666667
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1638
     1q arcTan_withAccuracy:0.1       0.744011544
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1639
     1q arcTan_withAccuracy:0.01      0.790299653
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1640
     1q arcTan_withAccuracy:0.001     0.785897165
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1641
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1642
     1q arcTan_withAccuracy:1e-8      0.785398168     
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1643
     1q arcTan_withAccuracy:1e-20     -- not yet, converges very slow 
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1644
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1645
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1646
     0.5 arcTan                         0.463648
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1647
     0.5q arcTan                        0.463647609
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1648
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1649
     0.5q arcTan_withAccuracy:1         0.458333333
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1650
     0.5q arcTan_withAccuracy:0.1       0.458333333
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1651
     0.5q arcTan_withAccuracy:0.01      0.464583333
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1652
     0.5q arcTan_withAccuracy:0.001     0.463684276
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1653
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1654
     0.5q arcTan_withAccuracy:1e-20     0.463647609
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1655
     0.5 asLargeFloat arcTan_withAccuracy:1e-30    -- not yet  
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1656
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1657
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1658
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1659
cos_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1660
    "compute the cosine of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1661
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1662
    "/ uses taylor series:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1663
    "/               x^2   x^4   x^6
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1664
    "/  cos(x) = 1 - --- + --- - --- ...
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1665
    "/                2!!    4!!    6!!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1666
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1667
    |x2 facN num den approx lastApprox|
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1668
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1669
    x2 := self * self.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1670
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1671
    num := x2 negated.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1672
    den := 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1673
    facN := 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1674
    approx := 1 + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1675
    lastApprox := 1.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1676
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1677
    [ (lastApprox - approx) abs > epsilon ] whileTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1678
        facN := facN + 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1679
        den := den * (facN - 1) * facN.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1680
        num := (num * x2) negated.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1681
        lastApprox := approx.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1682
        approx := approx + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1683
    ].
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1684
    ^ approx
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1685
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1686
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1687
     1.0 cos                                    0.540302
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1688
     1.0 asLongFloat cos_withAccuracy:1         0.5
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1689
     1.0 asLongFloat cos_withAccuracy:0.1       0.541666667 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1690
     1.0 asLongFloat cos_withAccuracy:0.01      0.540277778
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1691
     1.0 asLongFloat cos_withAccuracy:0.001     0.540302579
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1692
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1693
     1.0 asLongFloat cos_withAccuracy:1e-40     0.540302306    
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1694
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1695
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1696
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1697
cosh_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1698
    "compute the hyperbolic cosine of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1699
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1700
    "/ uses taylor series:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1701
    "/               x^2   x^4   x^6
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1702
    "/    cosh = x + --- + --- + --- ...
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1703
    "/                2!!    4!!    6!!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1704
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1705
    |x2 facN num den approx delta|
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1706
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1707
    x2 := self * self.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1708
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1709
    num := x2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1710
    den := 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1711
    facN := 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1712
    approx := self + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1713
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1714
    [
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1715
        facN := facN + 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1716
        den := den * (facN - 1) * facN.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1717
        num := num * x2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1718
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1719
        delta := num / den.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1720
        approx := approx + delta.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1721
    ] doUntil:[delta <= epsilon].
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1722
    ^ approx
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1723
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1724
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1725
     1.0 cosh                                    1.54308
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1726
     1.0q cosh_withAccuracy:1         1.5 
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1727
     1.0q cosh_withAccuracy:0.1       1.54308 
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1728
     1.0q cosh_withAccuracy:0.01      1.54308 
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1729
     1.0q cosh_withAccuracy:0.001     1.54308 
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1730
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1731
     1.0q cosh_withAccuracy:1e-40   -> 1.543080    
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1732
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1733
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1734
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1735
epsilon
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1736
    "return the maximum relative spacing of instances of mySelf 
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1737
     (i.e. the value-delta of the least significant bit)"
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1738
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1739
    ^ self class epsilon
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1740
!
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1741
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1742
exp_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1743
    "compute e**x of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1744
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1745
    "/ uses taylor series:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1746
    "/             x    x^2   x^3
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1747
    "/  e^x = 1 + --- + --- + --- ...
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1748
    "/             1!!    2!!    3!!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1749
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1750
    |x2 facN num den approx delta|
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1751
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1752
    x2 := self * self.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1753
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1754
    num := x2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1755
    den := 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1756
    facN := 2.
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1757
    approx := self + 1 + (num / den).
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1758
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1759
    [
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1760
        facN := facN + 1.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1761
        den := den * facN.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1762
        num := num * self.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1763
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1764
        delta := num / den.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1765
        approx := approx + delta.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1766
    ] doUntil:[delta abs <= epsilon].
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1767
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1768
    ^ approx
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1769
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1770
    "
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1771
     -1 exp
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1772
     1.0 exp                                    2.71828
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1773
     1q exp                                     2.71828183
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1774
     2q exp                                     7.3890561                        
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1775
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1776
     1q exp_withAccuracy:1                      2.66666667
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1777
     1q exp_withAccuracy:0.1                    2.70833333
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1778
     1q exp_withAccuracy:0.01                   2.71666667
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1779
     1q exp_withAccuracy:0.001                  2.71825397
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1780
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1781
     2q exp_withAccuracy:LongFloat epsilon      7.3890561
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1782
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1783
     1.0 asLongFloat exp_withAccuracy:1e-40     2.71828183 
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1784
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1785
     5 exp_withAccuracy:1e-40      
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1786
     (1 exp_withAccuracy:1e-100) asFixedPoint:100
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1787
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1788
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1789
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1790
ln_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1791
    "compute ln of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1792
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1793
    "uses taylor series:
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1794
                 u^2   u^3
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1795
        ln = u - --- + --- ...
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1796
                  2    3
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1797
      where:
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1798
             u = x - 1    and: x < 1
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1799
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1800
     Now we use modified taylor, which converges faster:
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1801
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1802
                   1+y        1   1       1
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1803
        ln(x) = ln --- = 2y ( - + - y^2 + - y^4 + ....)
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1804
                   1-y        1   3       5
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1805
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1806
        where y = (x-1) / (x+1)  and x > 0
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1807
    "
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1808
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1809
    |denominator approx y y2 exp delta|
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1810
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1811
    self <= 0 ifTrue:[
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1812
        ^ self class
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1813
            raise:#domainErrorSignal
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1814
            receiver:self
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1815
            selector:#ln
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1816
            arguments:#()
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1817
            errorString:'bad receiver in ln'
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1818
    ].
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1819
        
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1820
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1821
    y := (self - 1)/(self + 1).
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1822
    exp := y2 := y * y.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1823
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1824
    approx := 1.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1825
    denominator := 3.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1826
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1827
    [
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1828
        delta := exp / denominator.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1829
        approx := approx + delta.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1830
        exp := exp * y2.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1831
        denominator := denominator + 2.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1832
    ] doUntil:[delta <= epsilon].
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1833
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1834
    ^ y * 2 * approx.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1835
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1836
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1837
    "
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1838
     2.0 ln                         0.693147
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1839
     2.0q ln                        0.693147181
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1840
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1841
     2.0q ln_withAccuracy:1         0.691358025     
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1842
     2.0q ln_withAccuracy:0.1       0.691358025       
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1843
     2.0q ln_withAccuracy:0.01      0.693004115    
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1844
     2.0q ln_withAccuracy:0.0000001 0.69314718    
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1845
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1846
     2.0q ln_withAccuracy:1e-10     
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1847
     2.0q ln_withAccuracy:1e-20     
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1848
     2.0q ln_withAccuracy:1e-40     0.693147181
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1849
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1850
     2 ln_withAccuracy:1e-40                   
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1851
     0 ln_withAccuracy:1e-40                   
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1852
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1853
     (2 ln_withAccuracy:1e-100) asFixedPoint:100
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1854
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1855
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1856
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1857
sin_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1858
    "compute the sine of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1859
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1860
    "/ uses taylor series:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1861
    "/               x^3   x^5   x^7
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1862
    "/  sin(x) = x - --- + --- - --- ...
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1863
    "/                3!!    5!!    7!!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1864
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1865
    |x2 facN num den approx delta|
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1866
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1867
    x2 := self * self.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1868
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1869
    num := (x2 * self) negated.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1870
    den := 2*3.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1871
    facN := 3.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1872
    approx := self + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1873
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1874
    [
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1875
        facN := facN + 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1876
        den := den * (facN - 1) * facN.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1877
        num := (num * x2) negated.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1878
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1879
        delta := num / den.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1880
        approx := approx + delta.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1881
    ] doUntil:[delta abs <= epsilon].
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1882
    ^ approx
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1883
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1884
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1885
     1.0 sin                                    0.841471
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1886
     1.0q sin                        0.841470985
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1887
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1888
     1.0q sin_withAccuracy:1         0.833333333
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1889
     1.0q sin_withAccuracy:0.1       0.841666667 
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1890
     1.0q sin_withAccuracy:0.01      0.841666667
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1891
     1.0q sin_withAccuracy:0.001     0.841468254
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1892
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1893
     1.0q sin_withAccuracy:1e-40     0.841470985
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1894
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1895
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1896
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1897
sinh_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1898
    "compute the hyperbolic sine of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1899
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1900
    "/ uses taylor series:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1901
    "/               x^3   x^5   x^7
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1902
    "/ sinh(x) = x + --- + --- + --- ...
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1903
    "/                3!!    5!!    7!!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1904
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1905
    |x2 facN num den approx delta|
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1906
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1907
    x2 := self * self.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1908
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1909
    num := x2 * self.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1910
    den := 2*3.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1911
    facN := 3.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1912
    approx := self + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1913
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1914
    [
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1915
        facN := facN + 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1916
        den := den * (facN - 1) * facN.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1917
        num := num * x2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1918
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1919
        delta := num / den.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1920
        approx := approx + delta.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1921
    ] doUntil:[delta abs <= epsilon].
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1922
    ^ approx
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1923
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1924
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1925
     1.0 sinh                                    1.1752
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1926
     1q sinh                        1.17520119
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1927
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1928
     1q sinh_withAccuracy:1         1.16666667
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1929
     1q sinh_withAccuracy:0.1       1.175 
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1930
     1q sinh_withAccuracy:0.01      1.175
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1931
     1q sinh_withAccuracy:0.001     1.17519841
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1932
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1933
     1q sinh_withAccuracy:1e-40     1.17520119 
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1934
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1935
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1936
7729
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1937
sqrt_withAccuracy:epsilon 
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1938
    "compute square root of the receiver"
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1939
    "
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1940
      Use the Heron Algorithm:
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1941
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1942
                 x_n + (a / x_n)
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1943
        x_n+1 =  ---------------
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1944
                      2
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1945
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1946
        sqrt(a) = x_n
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1947
    "
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1948
    
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1949
    |approx|
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1950
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1951
    self <= 0 ifTrue:[
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1952
        self = 0 ifTrue:[
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1953
            ^ self
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1954
        ].
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1955
        ^ self class
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1956
            raise:#imaginaryResultSignal
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1957
            receiver:self
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1958
            selector:#sqrt
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1959
            arguments:#()
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1960
            errorString:'bad (negative) receiver in sqrt'
7729
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1961
    ].
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1962
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1963
    approx := 1.
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1964
    [
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1965
        |lastApprox|
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1966
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1967
        lastApprox := approx.
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1968
        approx := ((self / approx) + approx) / 2.
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1969
        (approx - lastApprox) abs > epsilon
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1970
    ] whileTrue.
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1971
    ^ approx
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1972
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1973
    "
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1974
     2 sqrt                                             1.41421
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1975
     2q sqrt_withAccuracy:0.01               1.41666667
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1976
     2q sqrt_withAccuracy:0.0001             1.41421569
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1977
     2q sqrt_withAccuracy:0.0000001          1.41421356
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1978
     2q sqrt_withAccuracy:0.0000000001       1.41421356
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1979
     2q sqrt_withAccuracy:0.000000000001     1.41421356
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  1980
     2q sqrt_withAccuracy:LongFloat epsilon  1.41421356
7729
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1981
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1982
     (4 sqrt_withAccuracy:Integer epsilon) asFloat
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1983
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1984
     MessageTally spyOn:[ |arg|
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1985
        arg := 2 asLongFloat.
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1986
        1000000 timesRepeat:[
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1987
             arg sqrt_withAccuracy:0.000000000001
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1988
        ]
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1989
     ]
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1990
     Time millisecondsToRun:[ |arg|
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1991
        arg := 2 asLongFloat.
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1992
        1000000 timesRepeat:[
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1993
             arg sqrt_withAccuracy:0.000000000001
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1994
        ]
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1995
     ]
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1996
    "
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1997
!
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1998
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1999
tan_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2000
    "compute the tangens of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2001
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2002
    "/ uses taylor series:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2003
    "/                x^3     x^5      x^7      x^9     2^2n * ( 2^2n - 1) * B2n * x^(2n-1)
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2004
    "/    tan = x + 1*--- + 2*--- + 17*--- + 62*----... ----------------------------------...
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2005
    "/                 3       15      315      2835                 (2n)!!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2006
    "/ where Bi is the ith bernoulli number.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2007
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2008
    |factors idx x2 num t approx lastApprox delta|
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2009
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2010
    "/    (1 to:20) collect:[:n| |num den|
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2011
    "/        num := (2 raisedTo:(2*n)) * ((2 raisedTo:(2*n))-1) * ((n*2) bernoulli).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2012
    "/        den := (2*n) factorial.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2013
    "/        num / den
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2014
    "/    ]   
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2015
   factors := #(
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2016
        (1 3) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2017
        (2 15) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2018
        (17 315) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2019
        (62 2835)
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2020
        (1382 155925) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2021
        (21844 6081075) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2022
        (929569 638512875)
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2023
        (6404582 10854718875) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2024
        (443861162 1856156927625) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2025
        (18888466084 194896477400625) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2026
        (113927491862 2900518163668125) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2027
        (58870668456604 3698160658676859375) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2028
        (8374643517010684 1298054391195577640625) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2029
        (689005380505609448 263505041412702261046875) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2030
        (129848163681107301953 122529844256906551386796875) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2031
        (1736640792209901647222 4043484860477916195764296875) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2032
        (418781231495293038913922 2405873491984360136479756640625) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2033
        (56518638202982204522669764 801155872830791925447758961328125) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2034
        (32207686319158956594455462 1126482925555250126673224649609375)).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2035
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  2036
    x2 := self * self.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2037
8203
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
  2038
    num := x2 * self.               "/ =  x^3
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
  2039
    approx := self + (num / 3).     "/ do the first iteration
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2040
    lastApprox := self.
8203
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
  2041
    idx := 2.
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
  2042
    [
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2043
        t := factors at:idx ifAbsent:[].
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2044
        t isNil ifTrue:[
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2045
            self error:'too many iterations'.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2046
"/ Not enough bernoulli numbers for now...
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2047
"/            |tempNum tempDen|
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2048
"/            tempNum := 2 raisedTo:(2*idx).
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2049
"/            tempNum := tempNum * (tempNum-1) * ((2*idx) bernoulli).
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2050
"/            tempDen := (2*idx) factorial.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2051
"/            t := Array with:tempNum with:tempDen.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2052
        ].
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2053
        idx := idx + 1.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2054
        num := num * x2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2055
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2056
        delta := num * t first / t second.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2057
        approx := approx + delta.
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2058
    ] doUntil:[delta abs <= epsilon].
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2059
    ^ approx
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2060
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2061
    "
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2062
     0.5 tan                         0.546302
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2063
     0.5q tan                        0.54630249
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2064
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2065
     0.5q tan_withAccuracy:1         0.541666667
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2066
     0.5q tan_withAccuracy:0.1       0.541666667
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2067
     0.5q tan_withAccuracy:0.01      0.545833333
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2068
     0.5q tan_withAccuracy:0.001     0.54625496
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2069
     0.5q tan_withAccuracy:1e-15     0.54630249
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2070
10556
fb4ea1df1f1d Fix/speed up taylor computations
Stefan Vogel <sv@exept.de>
parents: 10550
diff changeset
  2071
     0.5q tan_withAccuracy:1e-40     -- too many iterations
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2072
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2073
! !
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2074
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2075
!Number methodsFor:'testing'!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2076
5360
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2077
isDivisibleBy:aNumber
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2078
    "return true, if the receiver can be divided by the argument, aNumber without a remainder.
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2079
     Notice, that the result is only worth trusting, if the receiver is an integer."
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2080
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2081
    aNumber = 0 ifTrue: [^ false].
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2082
    aNumber isInteger ifFalse: [^ false].
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2083
    ^ (self \\ aNumber) = 0
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2084
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2085
    "
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2086
     3 isDivisibleBy:2     
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2087
     4 isDivisibleBy:2
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2088
     4.0 isDivisibleBy:2   
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2089
     4.5 isDivisibleBy:4.5 
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2090
     4.5 isDivisibleBy:1.0 
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2091
    "
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2092
!
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  2093
6143
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
  2094
isNaN
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
  2095
    "return true, if the receiver is an invalid float (NaN - not a number)."
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
  2096
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
  2097
    ^ false
6155
00eaf2fa55bc isReal comment
Claus Gittinger <cg@exept.de>
parents: 6154
diff changeset
  2098
00eaf2fa55bc isReal comment
Claus Gittinger <cg@exept.de>
parents: 6154
diff changeset
  2099
    "Created: / 5.11.2001 / 18:07:26 / cg"
6143
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
  2100
!
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
  2101
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2102
isNumber
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2103
    "return true, if the receiver is a kind of number"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2104
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2105
    ^ true
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2106
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2107
6087
826b87eab740 moved isReal
Claus Gittinger <cg@exept.de>
parents: 6072
diff changeset
  2108
isReal
826b87eab740 moved isReal
Claus Gittinger <cg@exept.de>
parents: 6072
diff changeset
  2109
    "return true, if the receiver is some kind of real number (as opposed to a complex);
826b87eab740 moved isReal
Claus Gittinger <cg@exept.de>
parents: 6072
diff changeset
  2110
     true is returned here - the method is redefined from Object."
826b87eab740 moved isReal
Claus Gittinger <cg@exept.de>
parents: 6072
diff changeset
  2111
826b87eab740 moved isReal
Claus Gittinger <cg@exept.de>
parents: 6072
diff changeset
  2112
    ^ true
826b87eab740 moved isReal
Claus Gittinger <cg@exept.de>
parents: 6072
diff changeset
  2113
!
826b87eab740 moved isReal
Claus Gittinger <cg@exept.de>
parents: 6072
diff changeset
  2114
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2115
isZero
1557
2c3c301cf48f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1422
diff changeset
  2116
    "return true, if the receiver is zero"
2c3c301cf48f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1422
diff changeset
  2117
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2118
    ^ self = 0
1557
2c3c301cf48f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1422
diff changeset
  2119
2c3c301cf48f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1422
diff changeset
  2120
    "Modified: 18.7.1996 / 12:40:49 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2121
! !
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2122
4659
cdf37afc0e26 moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents: 4637
diff changeset
  2123
!Number methodsFor:'tracing'!
cdf37afc0e26 moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents: 4637
diff changeset
  2124
4682
4158042a9c8c *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4659
diff changeset
  2125
traceInto:aRequestor level:level from:referrer
4659
cdf37afc0e26 moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents: 4637
diff changeset
  2126
    "double dispatch into tracer, passing my type implicitely in the selector"
cdf37afc0e26 moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents: 4637
diff changeset
  2127
4682
4158042a9c8c *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4659
diff changeset
  2128
    ^ aRequestor traceNumber:self level:level from:referrer
4659
cdf37afc0e26 moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents: 4637
diff changeset
  2129
cdf37afc0e26 moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents: 4637
diff changeset
  2130
cdf37afc0e26 moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents: 4637
diff changeset
  2131
! !
cdf37afc0e26 moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents: 4637
diff changeset
  2132
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2133
!Number methodsFor:'trigonometric'!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2134
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2135
arcCos
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2136
    "return the arccosine of the receiver (in radians)"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2137
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2138
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2139
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2140
        ^ self asFloat arcCos.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2141
    ].
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  2142
    ^ (self class pi / 2) - self arcSin
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2143
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2144
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2145
arcCosh
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2146
    "return the hyperbolic arccosine of the receiver."
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2147
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2148
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2149
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2150
        ^ self asFloat arcCosh.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2151
    ].
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  2152
    ^ (self + (self*self-1) sqrt) ln.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2153
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2154
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2155
arcSin
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2156
    "return the arcsine of the receiver (in radians)"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2157
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2158
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2159
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2160
        ^ self asFloat arcSin.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2161
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  2162
    ^ self arcSin_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2163
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2164
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2165
arcSinh
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2166
    "return the hyperbolic arcsine of the receiver."
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2167
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2168
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2169
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2170
        ^ self asFloat arcSinh.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2171
    ].
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  2172
    ^ ( self + (self*self+1) sqrt ) ln
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  2173
"/    ^ self arcSinh_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2174
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2175
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2176
arcTan
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2177
    "return the arctangent of the receiver (as radians)"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2178
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2179
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2180
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2181
        ^ self asFloat arcTan.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2182
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  2183
    ^ self arcTan_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2184
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2185
11488
8d948de20326 +arcTan2:
Claus Gittinger <cg@exept.de>
parents: 11460
diff changeset
  2186
arcTan2:x
8d948de20326 +arcTan2:
Claus Gittinger <cg@exept.de>
parents: 11460
diff changeset
  2187
    "return atan2(self,x) (as radians)"
8d948de20326 +arcTan2:
Claus Gittinger <cg@exept.de>
parents: 11460
diff changeset
  2188
8d948de20326 +arcTan2:
Claus Gittinger <cg@exept.de>
parents: 11460
diff changeset
  2189
    (self isLimitedPrecisionReal not
8d948de20326 +arcTan2:
Claus Gittinger <cg@exept.de>
parents: 11460
diff changeset
  2190
    or:[self generality < 1.0 generality]) ifTrue:[
8d948de20326 +arcTan2:
Claus Gittinger <cg@exept.de>
parents: 11460
diff changeset
  2191
        ^ self asFloat arcTan2:x.
8d948de20326 +arcTan2:
Claus Gittinger <cg@exept.de>
parents: 11460
diff changeset
  2192
    ].
8d948de20326 +arcTan2:
Claus Gittinger <cg@exept.de>
parents: 11460
diff changeset
  2193
    ^ self arcTan2_withAccuracy:self epsilon x:x
8d948de20326 +arcTan2:
Claus Gittinger <cg@exept.de>
parents: 11460
diff changeset
  2194
!
8d948de20326 +arcTan2:
Claus Gittinger <cg@exept.de>
parents: 11460
diff changeset
  2195
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2196
arcTanh
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2197
    "return the hyperbolic arctangent of the receiver."
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2198
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2199
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2200
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2201
        ^ self asFloat arcTanh.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2202
    ].
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  2203
    ^ ((self + 1) ln / 2) - ((1 - self) ln / 2)
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2204
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2205
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2206
cos
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2207
    "return the cosine of the receiver (interpreted as radians)"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2208
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2209
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2210
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2211
        ^ self asFloat cos.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2212
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  2213
    ^ self cos_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2214
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2215
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2216
cosh
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2217
    "return the hyperbolic cosine of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2218
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2219
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2220
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2221
        ^ self asFloat cosh.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2222
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  2223
    ^ self cosh_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2224
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2225
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  2226
cot
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  2227
    "return the cotangent of the receiver"
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  2228
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  2229
    ^ 1 / self tan
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  2230
!
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  2231
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2232
sin
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2233
    "return the sine of the receiver (interpreted as radians)"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2234
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2235
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2236
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2237
        ^ self asFloat sin.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2238
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  2239
    ^ self sin_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2240
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2241
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2242
sinh
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2243
    "return the hyperbolic sine of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2244
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2245
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2246
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2247
        ^ self asFloat sinh.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2248
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  2249
    ^ self sinh_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2250
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2251
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2252
tan
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2253
    "return the tangens of the receiver (interpreted as radians)"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2254
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2255
    ^ self sin / self cos
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2256
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2257
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2258
tanh
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2259
    "return the hyperbolic tangens of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2260
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2261
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2262
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2263
        ^ self asFloat tanh.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2264
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  2265
    ^ self tanh_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2266
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2267
"/ If a fast exp is available, the following might be better...
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2268
"/
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2269
"/    |exp nexp|
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2270
"/
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2271
"/    "/ tanh is:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2272
"/    "/      sinh(x)
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2273
"/    "/      -------
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2274
"/    "/      cosh(x)
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2275
"/    "/
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2276
"/    "/ which is:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2277
"/    "/      (exp(x) - exp(-x)) / 2
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2278
"/    "/      ----------------------
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2279
"/    "/      (exp(x) + exp(-x)) / 2
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2280
"/    
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2281
"/    exp := self exp.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2282
"/    nexp := self negated exp.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2283
"/
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2284
"/    ^ (exp - nexp) / (exp + nexp)
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2285
! !
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  2286
5552
31b5cc144476 category changes
Claus Gittinger <cg@exept.de>
parents: 5360
diff changeset
  2287
!Number methodsFor:'truncation & rounding'!
3900
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2288
4895
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2289
detentBy: detent atMultiplesOf: grid snap: snap
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2290
    "Map all values that are within detent/2 of any multiple of grid 
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2291
     to that multiple.  
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2292
     Otherwise, if snap is true, return self, meaning that the values 
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2293
     in the dead zone will never be returned.  
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2294
     If snap is false, then expand the range between dead zones
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2295
     so that it covers the range between multiples of the grid, 
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2296
     and scale the value by that factor."
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2297
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2298
    | r1 r2 |
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2299
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2300
    r1 := self roundTo: grid.                    "Nearest multiple of grid"
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2301
    (self roundTo: detent) = r1 ifTrue: [^ r1].  "Snap to that multiple..."
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2302
    snap ifTrue: [^ self].                       "...or return self"
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2303
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2304
    r2 := self < r1                               "Nearest end of dead zone"
15108
ffef3e5a13d5 class: Number
Claus Gittinger <cg@exept.de>
parents: 15100
diff changeset
  2305
            ifTrue: [r1 - (detent asFloat/2)]
ffef3e5a13d5 class: Number
Claus Gittinger <cg@exept.de>
parents: 15100
diff changeset
  2306
            ifFalse: [r1 + (detent asFloat/2)].
4895
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2307
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2308
    "Scale values between dead zones to fill range between multiples"
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2309
    ^ r1 + ((self - r2) * grid asFloat / (grid - detent))
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2310
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2311
    "
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2312
     (170 to: 190 by: 2) collect: [:a | a detentBy: 10 atMultiplesOf: 90 snap: true]         
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2313
     (170 to: 190 by: 2) collect: [:a | a detentBy: 10 atMultiplesOf: 90 snap: false]
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2314
     (3.9 to: 4.1 by: 0.02) collect: [:a | a detentBy: 0.1 atMultiplesOf: 1.0 snap: true]    
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2315
     (-3.9 to: -4.1 by: -0.02) collect: [:a | a detentBy: 0.1 atMultiplesOf: 1.0 snap: false]
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2316
    "
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2317
!
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  2318
3900
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2319
fractionPart
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2320
    "return a float with value from digits after the decimal point.
7356
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
  2321
     i.e. the receiver minus its truncated value,
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
  2322
     such that (self truncated + self fractionPart) = self"
3900
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2323
7356
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
  2324
    ^ self - self truncated
3900
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2325
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2326
    "
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2327
     1234.56789 fractionPart
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2328
     1.2345e6 fractionPart  
7356
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
  2329
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
  2330
     1.6 asLongFloat fractionPart + 1.6 asLongFloat truncated    
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
  2331
     -1.6 asLongFloat fractionPart + -1.6 asLongFloat truncated    
3900
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2332
    "
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2333
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2334
    "Modified: / 4.11.1996 / 20:26:54 / cg"
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2335
    "Created: / 28.10.1998 / 17:14:40 / cg"
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2336
!
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2337
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2338
integerPart
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2339
    "return a float with value from digits before the decimal point
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2340
     (i.e. the truncated value)"
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2341
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2342
    ^ self truncated asFloat
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2343
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2344
    "
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2345
     1234.56789 integerPart 
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2346
     1.2345e6 integerPart   
6154
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  2347
     12.5 integerPart 
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  2348
     -12.5 integerPart 
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  2349
     (5/3) integerPart  
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  2350
     (-5/3) integerPart 
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  2351
     (5/3) truncated  
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  2352
     (-5/3) truncated  
3900
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2353
    "
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2354
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2355
    "Created: / 28.10.1998 / 17:14:56 / cg"
6154
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  2356
    "Modified: / 5.11.2001 / 17:54:22 / cg"
3900
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2357
! !
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  2358
1892
d3564145c15c *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1701
diff changeset
  2359
!Number class methodsFor:'documentation'!
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2360
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2361
version
16267
beef1cb9c801 class: Number
Claus Gittinger <cg@exept.de>
parents: 16070
diff changeset
  2362
    ^ '$Header: /cvs/stx/stx/libbasic/Number.st,v 1.146 2014-03-18 10:07:02 cg Exp $'
12112
949f9713c4a5 changed: #readFrom:decimalPointCharacters:onError:
Claus Gittinger <cg@exept.de>
parents: 11944
diff changeset
  2363
!
949f9713c4a5 changed: #readFrom:decimalPointCharacters:onError:
Claus Gittinger <cg@exept.de>
parents: 11944
diff changeset
  2364
949f9713c4a5 changed: #readFrom:decimalPointCharacters:onError:
Claus Gittinger <cg@exept.de>
parents: 11944
diff changeset
  2365
version_CVS
16267
beef1cb9c801 class: Number
Claus Gittinger <cg@exept.de>
parents: 16070
diff changeset
  2366
    ^ '$Header: /cvs/stx/stx/libbasic/Number.st,v 1.146 2014-03-18 10:07:02 cg Exp $'
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  2367
! !
15078
997a122ceeb5 class: Number
Stefan Vogel <sv@exept.de>
parents: 14495
diff changeset
  2368