Number.st
author Claus Gittinger <cg@exept.de>
Wed, 26 Apr 2006 12:39:28 +0200
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child 10191 4974027704a5
permissions -rw-r--r--
decimalPointCharacter stuff
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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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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 negative 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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            negative := true.
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            str next.
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            nextChar := str peekOrNil
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        ] ifFalse:[
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            negative := false.
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            (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 isDigit or:[(decimalPointCharacters includes:nextChar)]) ifFalse:[
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            ^ exceptionBlock value.
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"/          value := super readFrom:str.
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"/          negative 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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        (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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        ].
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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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                    nextChar := str peekOrNil.
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                    signExp := -1
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                ]
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            ].
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            ('qQ' includes:nextChar) ifTrue:[
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                value := value asLongFloat.
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            ] ifFalse:[
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                value := value asFloat.
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"/ future: (for now, always create Doubles for Dolphin,Squeak etc. compatibility
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"/                ('eE' includes:nextChar) ifTrue:[
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"/                    value := value asShortFloat
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"/                ]
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            ].
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            (nextChar notNil and:[(nextChar isDigitRadix:radix)]) ifTrue:[
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                exp := (Integer readFrom:str radix:radix) * signExp.
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                value := value * ((value class unity * 10.0) raisedToInteger:exp)
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            ]
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        ] ifFalse:[
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            ('s' includes:nextChar) ifTrue:[
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                str next.
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                nextChar := str peekOrNil.
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                (nextChar notNil and:[ nextChar isDigit]) ifTrue:[
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                    scale := (Integer readFrom:str).
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                ].
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   236
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                mantissaAndScale isNil ifTrue:[
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                    value := intValue asFixedPoint:(scale ? 0).
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                ] ifFalse:[
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                    denom := 10 raisedTo:mantissaAndScale last.
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                    value := FixedPoint 
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                                numerator:(intValue * denom) + (mantissaAndScale second)
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                                denominator:denom
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                                scale:(scale ? mantissaAndScale last).
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                ].
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            ] ifFalse:[
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                value isLimitedPrecisionReal ifTrue:[
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                    value := value asFloat.
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                ]
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            ].
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   251
        ].
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        negative ifTrue:[
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            value := value negated
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        ].
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        value.
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   256
    ] on:Error do:exceptionBlock
1
a27a279701f8 Initial revision
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parents:
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329
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   258
    "
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   259
     Number readFrom:(ReadStream on:'54.32e-01')      
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     Number readFrom:(ReadStream on:'12345678901234567890') 
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     Number readFrom:(ReadStream on:'12345678901234567890.0') 
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   262
     Number readFrom:(ReadStream on:'12345678901234567890.012345678901234567890') 
329
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     Number readFrom:(ReadStream on:'16rAAAAFFFFAAAAFFFF') 
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   264
     Number readFrom:'16rAAAAFFFFAAAAFFFF' 
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   265
     Number readFrom:'0.000001'  
329
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   266
     '+00000123.45' asNumber  
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   267
     Number readFrom:'99s'      
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   268
     Number readFrom:'99.00s'      
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   269
     Number readFrom:'99.0000000s'      
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   270
     Number readFrom:'.0000000s'      
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   271
     Number readFrom:'.0000000q'      
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     Number readFrom:'.0000000f'      
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   273
     Number readFrom:'.0000000e'      
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   274
     Number readFrom:'.0000000s1'      
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   275
     Number readFrom:'.0000000q1'      
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   276
     Number readFrom:'.0000000f1'      
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     Number readFrom:'.0000000e1'      
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     DecimalPointCharactersForReading := #( $. $, ).   
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     Number readFrom:'99,00'      
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   281
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     DecimalPointCharactersForReading := #( $. ).   
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     Number readFrom:'99,00'      
329
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    "
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   285
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   286
    "Modified: / 14.4.1998 / 19:22:50 / cg"
296
754358c5508a *** empty log message ***
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   287
!
754358c5508a *** empty log message ***
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   288
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readFrom:aStringOrStream onError:exceptionBlock
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    "return the next Number from the (character-)stream aStream;
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   291
     skipping all whitespace first; return the value of exceptionBlock,
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     if no number can be read.
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   293
     This method is less strict than the smalltalk number reader; it
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   294
     allows for prefixed + and also allows missing fractional part after eE"
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   296
    ^ self 
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   297
        readFrom:aStringOrStream 
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   298
        decimalPointCharacters:(self decimalPointCharactersForReading) 
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   299
        onError:exceptionBlock
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   301
    "
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diff changeset
   302
     Number readFrom:(ReadStream on:'54.32e-01')      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   303
     Number readFrom:(ReadStream on:'12345678901234567890') 
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   304
     Number readFrom:(ReadStream on:'12345678901234567890.0') 
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   305
     Number readFrom:(ReadStream on:'12345678901234567890.012345678901234567890') 
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   306
     Number readFrom:(ReadStream on:'16rAAAAFFFFAAAAFFFF') 
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   307
     Number readFrom:'16rAAAAFFFFAAAAFFFF' 
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   308
     Number readFrom:'0.000001'  
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   309
     '+00000123.45' asNumber  
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   310
     Number readFrom:'99s'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   311
     Number readFrom:'99.00s'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   312
     Number readFrom:'99.0000000s'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   313
     Number readFrom:'.0000000s'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   314
     Number readFrom:'.0000000q'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   315
     Number readFrom:'.0000000f'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   316
     Number readFrom:'.0000000e'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   317
     Number readFrom:'.0000000s1'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   318
     Number readFrom:'.0000000q1'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   319
     Number readFrom:'.0000000f1'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   320
     Number readFrom:'.0000000e1'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   321
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   322
     DecimalPointCharactersForReading := #( $. $, ).   
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   323
     Number readFrom:'99,00'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   324
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   325
     DecimalPointCharactersForReading := #( $. ).   
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   326
     Number readFrom:'99,00'      
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   327
    "
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   328
!
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   329
296
754358c5508a *** empty log message ***
claus
parents: 293
diff changeset
   330
readSmalltalkSyntaxFrom:aStream
754358c5508a *** empty log message ***
claus
parents: 293
diff changeset
   331
    "ST-80 compatibility (thanks to a note from alpha testers)
754358c5508a *** empty log message ***
claus
parents: 293
diff changeset
   332
     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
   333
     (character-) aStream.
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   334
     Returns nil if aStream contains no valid number."
329
claus
parents: 325
diff changeset
   335
3613
75629df7f224 fixed readSmalltalkSyntax (dont read behind number)
Claus Gittinger <cg@exept.de>
parents: 3394
diff changeset
   336
    ^ Scanner scanNumberFrom:aStream
75629df7f224 fixed readSmalltalkSyntax (dont read behind number)
Claus Gittinger <cg@exept.de>
parents: 3394
diff changeset
   337
"/    ^ Compiler evaluate:aStream compile:false "/ self readFrom:aStream.
296
754358c5508a *** empty log message ***
claus
parents: 293
diff changeset
   338
329
claus
parents: 325
diff changeset
   339
    "
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   340
     Number readSmalltalkSyntaxFrom:'99d'    
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   341
     Number readSmalltalkSyntaxFrom:'99.00d'    
329
claus
parents: 325
diff changeset
   342
     Number readSmalltalkSyntaxFrom:(ReadStream on:'54.32e-01')    
claus
parents: 325
diff changeset
   343
     Number readSmalltalkSyntaxFrom:(ReadStream on:'12345678901234567890')
claus
parents: 325
diff changeset
   344
     Number readSmalltalkSyntaxFrom:(ReadStream on:'16rAAAAFFFFAAAAFFFF')
claus
parents: 325
diff changeset
   345
     Number readSmalltalkSyntaxFrom:(ReadStream on:'(1/10)') 
claus
parents: 325
diff changeset
   346
     Number readFrom:(ReadStream on:'(1/10)') 
claus
parents: 325
diff changeset
   347
     Number readSmalltalkSyntaxFrom:(ReadStream on:'+00000123.45')  
claus
parents: 325
diff changeset
   348
     Number readFrom:(ReadStream on:'+00000123.45')  
5013
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   349
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   350
     |s|
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   351
     s := ReadStream on:'2.'.
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   352
     Number readSmalltalkSyntaxFrom:s.
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   353
     s next    
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   354
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   355
     |s|
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   356
     s := ReadStream on:'2.0.'.
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   357
     Number readSmalltalkSyntaxFrom:s.
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   358
     s next    
329
claus
parents: 325
diff changeset
   359
    "
3613
75629df7f224 fixed readSmalltalkSyntax (dont read behind number)
Claus Gittinger <cg@exept.de>
parents: 3394
diff changeset
   360
5013
e2aff65e6eba comment
Claus Gittinger <cg@exept.de>
parents: 4988
diff changeset
   361
    "Modified: / 19.11.1999 / 18:26:47 / cg"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   362
! !
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   363
7729
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
   364
!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
   365
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   366
decimalPointCharacter 
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   367
    "printed"
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   368
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   369
    <resource: #obsolete>
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   370
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   371
    ^ self decimalPointCharacterForPrinting
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   372
!
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   373
8303
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   374
decimalPointCharacter:aCharacter 
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   375
    "printed"
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   376
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   377
    <resource: #obsolete>
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   378
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   379
    self decimalPointCharacterForPrinting:aCharacter
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   380
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   381
    "
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   382
     1.5 printString
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   383
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   384
     Number decimalPointCharacter:$,.
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   385
     1.5 printString       
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   386
     Number decimalPointCharacter:$..
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   387
    "
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   388
!
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   389
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   390
decimalPointCharacterForPrinting 
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   391
    "printed"
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   392
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   393
    DecimalPointCharacterForPrinting isNil ifTrue:[
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   394
        ^ $.
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   395
    ].
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   396
    ^ DecimalPointCharacterForPrinting
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   397
!
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   398
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   399
decimalPointCharacterForPrinting:aCharacter 
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   400
    "printed"
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   401
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   402
    DecimalPointCharacterForPrinting := aCharacter
8303
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   403
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   404
    "
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   405
     1.5 printString
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   406
9274
f3b231fb2ef7 comments
Claus Gittinger <cg@exept.de>
parents: 9140
diff changeset
   407
     Number decimalPointCharacterForPrinting:$,.
8303
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   408
     1.5 printString       
9274
f3b231fb2ef7 comments
Claus Gittinger <cg@exept.de>
parents: 9140
diff changeset
   409
     Number decimalPointCharacterForPrinting:$..
8303
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   410
    "
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   411
!
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   412
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   413
decimalPointCharacters 
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   414
    "accepted when converting from a string"
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   415
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   416
    <resource: #obsolete>
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   417
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   418
    ^ self decimalPointCharactersForReading
8303
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   419
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   420
    "
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   421
     1.5 printString
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   422
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   423
     Number decimalPointCharacters:#( $. $,) .
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   424
     Number fromString:'1.5'.     
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   425
     Number fromString:'1,5'.     
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   426
     Number decimalPointCharacters:#( $. ).
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   427
    "
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   428
!
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   429
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   430
decimalPointCharacters:aCollectionOfCharacters 
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   431
    "accepted when converting from a string"
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   432
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   433
    <resource: #obsolete>
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   434
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   435
    self decimalPointCharactersForReading:aCollectionOfCharacters 
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   436
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   437
    "
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   438
     Number decimalPointCharacters:#( $. $,) .
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   439
     Number fromString:'1.5'.     
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   440
     Number fromString:'1,5'.     
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   441
     Number decimalPointCharacters:#( $. ).
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   442
    "
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   443
!
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   444
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   445
decimalPointCharactersForReading 
9333
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   446
    "default when converting from a string"
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   447
9333
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   448
    "/ cg: changing the default leads to trouble in some
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   449
    "/ language processors (PrologScanner...)
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   450
    "/ 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
   451
    "/ BETTER: pass the DecimalPointCharacterSet explicitly
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   452
    DecimalPointCharactersForReading isNil ifTrue:[
9333
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
   453
        ^ #( $. )
9127
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
    ^ DecimalPointCharactersForReading
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
9274
f3b231fb2ef7 comments
Claus Gittinger <cg@exept.de>
parents: 9140
diff changeset
   460
     Number decimalPointCharactersForReading:#( $. $,) .
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   461
     Number fromString:'1.5'.     
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   462
     Number fromString:'1,5'.     
9274
f3b231fb2ef7 comments
Claus Gittinger <cg@exept.de>
parents: 9140
diff changeset
   463
     Number decimalPointCharactersForReading:#( $. ).
9127
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
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   467
decimalPointCharactersForReading:aCollectionOfCharacters 
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   468
    "accepted when converting from a string"
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   469
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   470
    DecimalPointCharactersForReading := aCollectionOfCharacters
8303
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   471
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   472
    "
9274
f3b231fb2ef7 comments
Claus Gittinger <cg@exept.de>
parents: 9140
diff changeset
   473
     Number decimalPointCharactersForReading:#( $. $,) .
8303
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   474
     Number fromString:'1.5'.     
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   475
     Number fromString:'1,5'.     
9274
f3b231fb2ef7 comments
Claus Gittinger <cg@exept.de>
parents: 9140
diff changeset
   476
     Number decimalPointCharactersForReading:#( $. ).
8303
837daadaab78 decimalPointCharacter definition
werner
parents: 8301
diff changeset
   477
    "
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   478
!
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
   479
7729
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
   480
epsilon
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
   481
    "return the maximum relative spacing of instances of mySelf 
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
   482
     (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
   483
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
   484
     ^ self subclassResponsibility
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
   485
!
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
   486
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
   487
pi
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
   488
    "return Pi in my representation (and accuracy)."
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
   489
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
   490
     ^ self subclassResponsibility
7729
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
   491
! !
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
   492
1892
d3564145c15c *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1701
diff changeset
   493
!Number class methodsFor:'error reporting'!
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   494
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   495
raise:aSignalSymbolOrErrorClass receiver:someNumber selector:sel arg:arg errorString:text 
3394
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   496
    "ST-80 compatible signal raising. Provided for PD numeric classes"
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   497
4558
94044dccefab checkin from browser
Claus Gittinger <cg@exept.de>
parents: 3995
diff changeset
   498
    <context: #return>
94044dccefab checkin from browser
Claus Gittinger <cg@exept.de>
parents: 3995
diff changeset
   499
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   500
    ^ self
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   501
        raise:aSignalSymbolOrErrorClass 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   502
        receiver:someNumber 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   503
        selector:sel 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   504
        arguments:(Array with:arg)
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   505
        errorString:text 
3394
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   506
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   507
    "
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   508
     Number 
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   509
        raise:#domainErrorSignal
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   510
        receiver:1.0
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   511
        selector:#sin
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   512
        arg:nil
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   513
        errorString:'foo bar test'
3394
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   514
    "
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   515
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   516
    "Modified: / 16.11.2001 / 14:12:50 / cg"
3394
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   517
!
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   518
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   519
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
   520
    "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
   521
     aSignalSymbolOrErrorClass is either an Error-subclass, or
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   522
     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
   523
4558
94044dccefab checkin from browser
Claus Gittinger <cg@exept.de>
parents: 3995
diff changeset
   524
    <context: #return>
94044dccefab checkin from browser
Claus Gittinger <cg@exept.de>
parents: 3995
diff changeset
   525
6194
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   526
    |msg signalOrException|
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   527
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   528
    msg := MessageSend
6194
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   529
                receiver:someNumber
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   530
                selector:sel
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   531
                arguments:argArray.
3394
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   532
6194
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   533
    aSignalSymbolOrErrorClass isSymbol ifTrue:[
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   534
        signalOrException := self perform:aSignalSymbolOrErrorClass.
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   535
    ] ifFalse:[
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   536
        signalOrException := aSignalSymbolOrErrorClass.    "/ assume its an Error-Subclass
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   537
    ].
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   538
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   539
    ^ signalOrException
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   540
         raiseRequestWith:msg 
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   541
         errorString:text 
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   542
         in:thisContext sender
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   543
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   544
    "
3394
33e8273b95f3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 3375
diff changeset
   545
     Number 
6194
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   546
        raise:#domainErrorSignal
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   547
        receiver:1.0
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   548
        selector:#foo 
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   549
        errorString:'foo bar test'
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   550
    "
6194
e060dbb4f75c allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6155
diff changeset
   551
6195
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   552
    "Modified: / 16.11.2001 / 14:12:09 / cg"
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   553
!
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   554
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   555
raise:aSignalSymbolOrErrorClass receiver:someNumber selector:sel errorString:text 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   556
    "ST-80 compatible signal raising. Provided for PD numeric classes.
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   557
     aSignalSymbolOrErrorClass is either an Error-subclass, or
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   558
     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
   559
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   560
    <context: #return>
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   561
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   562
    ^ self
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   563
        raise:aSignalSymbolOrErrorClass 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   564
        receiver:someNumber 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   565
        selector:sel 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   566
        arguments:#()
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   567
        errorString:text 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   568
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   569
    "
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   570
     Number 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   571
        raise:#domainErrorSignal
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   572
        receiver:1.0
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   573
        selector:#foo 
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   574
        errorString:'foo bar test'
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   575
    "
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   576
9e60c38d1d61 #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents: 6194
diff changeset
   577
    "Modified: / 16.11.2001 / 14:13:16 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   578
! !
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   579
1892
d3564145c15c *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1701
diff changeset
   580
!Number class methodsFor:'private'!
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   581
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   582
readMantissaAndScaleFrom:aStream radix:radix
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   583
    "helper for readFrom: -
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   584
     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
   585
     In addition, the scale (number of postDecimalPoint digits) is returned 
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   586
     (to support reading fixedPoint numbers).
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   587
     No whitespace is skipped.
7356
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   588
     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
   589
7388
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
   590
    |nextChar value factor intMantissa scale highPrecision|
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   591
7388
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
   592
    highPrecision := false.
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   593
    value := 0.0.
7388
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
   594
    factor := 1.0 asLongFloat / radix.
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   595
    scale := 0.
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   596
    intMantissa := 0.
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   597
    nextChar := aStream peekOrNil.
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   598
    [nextChar notNil and:[nextChar isDigitRadix:radix]] whileTrue:[
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   599
        value := value + (nextChar digitValue * factor).
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   600
        intMantissa := (intMantissa * radix) + nextChar digitValue.
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   601
        factor := factor / radix.
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   602
        scale := scale + 1.
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   603
        aStream next.
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   604
        nextChar := aStream peekOrNil
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   605
    ].
7388
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
   606
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   607
    ^ (Array with:value with:intMantissa with:scale).
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   608
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   609
    "
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   610
     Number readMantissaAndScaleFrom:'234'    readStream radix:10. 
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   611
     Number readMantissaAndScaleFrom:'2'      readStream radix:10. 
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   612
     Number readMantissaAndScaleFrom:'234567' readStream radix:10. 
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   613
     Number readMantissaAndScaleFrom:'234000' readStream radix:10. 
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   614
     Number readMantissaAndScaleFrom:'234'    readStream radix:10. 
7356
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   615
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   616
     Number readMantissaAndScaleFrom:'12345678901234567890' readStream radix:10. 
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   617
    "
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   618
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   619
    "Modified: / 14.4.1998 / 18:47:47 / cg"
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   620
!
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   621
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   622
readMantissaFrom:aStream radix:radix
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   623
    "helper for readFrom: -
6692
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   624
     return the mantissa (post-decimal-point digits)
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   625
     from the (character-)stream aStream;
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   626
     No whitespace is skipped.
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   627
     Errs if no number available."
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   628
6899
9ed8494c9f10 support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents: 6702
diff changeset
   629
    ^ (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
   630
6692
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   631
    "
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   632
     Number readMantissaFrom:'234'    readStream radix:10.
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   633
     Number readMantissaFrom:'2'      readStream radix:10.
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   634
     Number readMantissaFrom:'234567' readStream radix:10.
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   635
    "
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   636
3375
7c64da3964e4 faster conversion from string (due to slow #pastEnd)
Claus Gittinger <cg@exept.de>
parents: 3060
diff changeset
   637
    "Modified: / 14.4.1998 / 18:47:47 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   638
! !
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   639
8892
5d05a7f150a5 +isAbstract
Claus Gittinger <cg@exept.de>
parents: 8844
diff changeset
   640
!Number class methodsFor:'queries'!
5d05a7f150a5 +isAbstract
Claus Gittinger <cg@exept.de>
parents: 8844
diff changeset
   641
5d05a7f150a5 +isAbstract
Claus Gittinger <cg@exept.de>
parents: 8844
diff changeset
   642
isAbstract
5d05a7f150a5 +isAbstract
Claus Gittinger <cg@exept.de>
parents: 8844
diff changeset
   643
    ^ self == Number
5d05a7f150a5 +isAbstract
Claus Gittinger <cg@exept.de>
parents: 8844
diff changeset
   644
! !
5d05a7f150a5 +isAbstract
Claus Gittinger <cg@exept.de>
parents: 8844
diff changeset
   645
7261
f35fc9cee675 method category rename
Claus Gittinger <cg@exept.de>
parents: 7214
diff changeset
   646
!Number methodsFor:'Compatibility-Squeak'!
4988
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   647
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   648
asSmallAngleDegrees
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   649
    "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
   650
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   651
    | pos |
4988
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   652
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   653
    pos := self \\ 360.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   654
    pos > 180 ifTrue: [pos := pos - 360].
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   655
    ^ pos
4988
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   656
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   657
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   658
     #(-500 -300 -150 -5 0 5 150 300 500 1200) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   659
        collect: [:n | n asSmallAngleDegrees]
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   660
    "
6072
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
   661
!
4988
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   662
6335
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   663
closeFrom:aNumber
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   664
    "are these two numbers close?"
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   665
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   666
    | fuzz |
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   667
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   668
    self isNaN == aNumber isNaN ifFalse: [^ false]. 
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   669
    self isInfinite == aNumber isInfinite ifFalse: [^ false].
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   670
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   671
    fuzz := (self abs max:aNumber abs) * 0.0001. 
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   672
    ^ (self - aNumber) abs <= fuzz
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   673
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   674
    "
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   675
     9.0 closeTo: 8.9999     
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   676
     9.9 closeTo: 9          
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   677
     (9/3) closeTo: 2.9999      
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   678
     1 closeTo: 0.9999      
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   679
     1 closeTo: 1.0001      
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   680
     1 closeTo: 1.001       
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   681
     1 closeTo: 0.999       
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   682
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   683
     0.9999 closeTo: 1      
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   684
     1.0001 closeTo: 1      
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   685
     1.001 closeTo: 1     
6345
cfe5db4fe391 Only comments
Stefan Vogel <sv@exept.de>
parents: 6335
diff changeset
   686
     0.999 closeTo: 1
cfe5db4fe391 Only comments
Stefan Vogel <sv@exept.de>
parents: 6335
diff changeset
   687
     Float NaN closeTo:Float NaN
cfe5db4fe391 Only comments
Stefan Vogel <sv@exept.de>
parents: 6335
diff changeset
   688
     Float infinity closeTo:Float infinity
6335
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   689
    "
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   690
!
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   691
6143
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
   692
closeTo:num
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   693
    "are these two numbers close to each other?"
6143
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
   694
6374
fad888313ce3 closeTo: fix
Claus Gittinger <cg@exept.de>
parents: 6345
diff changeset
   695
    num isNumber ifFalse:[^false].
6335
8286bc57d05e closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents: 6258
diff changeset
   696
    ^ num closeFrom:self
6143
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
   697
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
   698
    "
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
   699
     1 closeTo:1.0000000001
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
   700
     1 closeTo:1.001
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
   701
    "
6155
00eaf2fa55bc isReal comment
Claus Gittinger <cg@exept.de>
parents: 6154
diff changeset
   702
00eaf2fa55bc isReal comment
Claus Gittinger <cg@exept.de>
parents: 6154
diff changeset
   703
    "Created: / 5.11.2001 / 18:07:26 / cg"
6143
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
   704
!
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
   705
9139
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   706
degreeCos
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   707
    "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
   708
    
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   709
    ^ self degreesToRadians cos
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   710
!
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   711
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   712
degreeSin
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   713
    "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
   714
    
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   715
    ^ self degreesToRadians sin
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   716
!
94df665b3260 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 9138
diff changeset
   717
4988
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   718
newTileMorphRepresentative
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   719
	^ TileMorph new addArrows; setLiteral: self; addSuffixIfCan
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   720
!
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   721
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   722
stringForReadout
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   723
    ^ self rounded printString
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   724
! !
ac426684e852 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4895
diff changeset
   725
6692
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   726
!Number methodsFor:'coercing'!
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   727
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   728
retry: aSymbol coercing: aNumber
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   729
    "Arithmetic represented by the symbol, aSymbol,
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   730
    could not be performed with the receiver and the argument,
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   731
    aNumber, because of the differences in representation.  Coerce either
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   732
    the receiver or the argument, depending on which has higher generality, and
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   733
    try again.  If the symbol is the equals sign, answer false if the argument
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   734
    is not a Number.  If the generalities are the same, create an error message."
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   735
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   736
    |myGenerality otherGenerality|
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   737
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   738
    (aSymbol == #=) ifTrue:[
6702
545b50725894 infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents: 6692
diff changeset
   739
        (aNumber respondsTo:#generality) ifFalse:[^ false]
6692
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   740
    ] ifFalse:[
6702
545b50725894 infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents: 6692
diff changeset
   741
        (aNumber respondsTo:#generality) ifFalse:[
545b50725894 infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents: 6692
diff changeset
   742
            self error:'retry:coercing: argument is not a number'.
545b50725894 infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents: 6692
diff changeset
   743
            ^ self
545b50725894 infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents: 6692
diff changeset
   744
        ]
6692
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   745
    ].
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   746
    myGenerality := self generality.
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   747
    otherGenerality := aNumber generality.
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   748
    (myGenerality > otherGenerality) ifTrue:[
6702
545b50725894 infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents: 6692
diff changeset
   749
        ^ self perform:aSymbol with:(self coerce:aNumber)
6692
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   750
    ].
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   751
    (myGenerality < otherGenerality) ifTrue:[
6702
545b50725894 infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents: 6692
diff changeset
   752
        ^ (aNumber coerce:self) perform:aSymbol with:aNumber
6692
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   753
    ].
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   754
    self error:'retry:coercing: oops - same generality'
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   755
! !
314f88dcbbd1 comment
Claus Gittinger <cg@exept.de>
parents: 6637
diff changeset
   756
9127
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   757
!Number methodsFor:'coercing & converting'!
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   758
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   759
i
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   760
    "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
   761
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   762
    ^ Complex
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   763
        real:0
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   764
        imaginary:self
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   765
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   766
    "
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   767
     3i          
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   768
     (1+1i)      
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   769
    "
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   770
! !
04cd80c64a30 decimapPointCharacter stuff;
Claus Gittinger <cg@exept.de>
parents: 8979
diff changeset
   771
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   772
!Number methodsFor:'converting'!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   773
3634
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   774
% aNumber 
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   775
    "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
   776
     aNumber as the imaginary part"
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   777
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   778
    ^ Complex real:self imaginary:aNumber
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   779
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   780
    "Modified: / 9.7.1998 / 10:18:12 / cg"
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   781
!
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   782
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   783
@ aNumber
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   784
    "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
   785
     as y-coordinate"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   786
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   787
%{  /* NOCONTEXT */
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   788
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   789
    /*
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   790
     * I cannot tell if this special code is worth anything
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   791
     */
5322
411b6c0f7250 renamed sone structures;
Claus Gittinger <cg@exept.de>
parents: 5299
diff changeset
   792
    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
   793
        OBJ newPoint;
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   794
        int spc;
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   795
7857
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   796
        __qCheckedAlignedNew(newPoint, sizeof(struct __Point));
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   797
        __InstPtr(newPoint)->o_class = @global(Point);
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   798
        __qSTORE(newPoint, @global(Point));
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   799
        __PointInstPtr(newPoint)->p_x = self;
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   800
        __PointInstPtr(newPoint)->p_y = aNumber;
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   801
        if (! __bothSmallInteger(self, aNumber)) {
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   802
            spc = __qSpace(newPoint);
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   803
            __STORE_SPC(newPoint, aNumber, spc);
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   804
            __STORE_SPC(newPoint, self, spc);
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   805
        }
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   806
        RETURN ( newPoint );
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   807
    }
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   808
%}
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   809
.
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   810
    ^ Point x:self y:aNumber
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   811
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   812
3634
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   813
asComplex
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   814
    "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
   815
     zero as the imaginary part"
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   816
7356
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
   817
    ^ Complex real:self
3634
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   818
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   819
    "Modified: / 9.7.1998 / 10:18:16 / cg"
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   820
!
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   821
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   822
asMetaNumber
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   823
    ^ SomeNumber new realNumber:self
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   824
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   825
7214
2315f1d48b84 *** empty log message ***
martin
parents: 6899
diff changeset
   826
asNumber
2315f1d48b84 *** empty log message ***
martin
parents: 6899
diff changeset
   827
2315f1d48b84 *** empty log message ***
martin
parents: 6899
diff changeset
   828
    ^ self.
2315f1d48b84 *** empty log message ***
martin
parents: 6899
diff changeset
   829
!
2315f1d48b84 *** empty log message ***
martin
parents: 6899
diff changeset
   830
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   831
asPoint
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   832
    "return a new Point with the receiver as all coordinates;  
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   833
     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
   834
     symmetrical gridding or scaling."
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   835
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   836
%{  /* NOCONTEXT */
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   837
5322
411b6c0f7250 renamed sone structures;
Claus Gittinger <cg@exept.de>
parents: 5299
diff changeset
   838
    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
   839
        OBJ newPoint;
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   840
7857
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   841
        __qCheckedAlignedNew(newPoint, sizeof(struct __Point));
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   842
        __InstPtr(newPoint)->o_class = @global(Point);
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   843
        __qSTORE(newPoint, @global(Point));
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   844
        __PointInstPtr(newPoint)->p_x = self;
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   845
        __PointInstPtr(newPoint)->p_y = self;
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   846
        __STORE(newPoint, self);
51971c337c26 Have to call __STORE(), when assigning class.
Stefan Vogel <sv@exept.de>
parents: 7729
diff changeset
   847
        RETURN ( newPoint );
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   848
    }
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   849
%}.
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   850
    ^ Point x:self y:self
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   851
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   852
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   853
degreesToRadians
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   854
    "interpreting the receiver as radians, return the degrees"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   855
8203
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
   856
    ^ 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
   857
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
   858
    "
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
   859
     180 degreesToRadians
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
   860
     Float pi radiansToDegrees
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
   861
    "
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   862
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   863
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   864
literalArrayEncoding
1245
c8afea3d5af0 commentary
Claus Gittinger <cg@exept.de>
parents: 1210
diff changeset
   865
    "encode myself as an array literal, from which a copy of the receiver
c8afea3d5af0 commentary
Claus Gittinger <cg@exept.de>
parents: 1210
diff changeset
   866
     can be reconstructed with #decodeAsLiteralArray."
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   867
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   868
    ^ self
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   869
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   870
    "Modified: 1.9.1995 / 02:25:26 / claus"
1245
c8afea3d5af0 commentary
Claus Gittinger <cg@exept.de>
parents: 1210
diff changeset
   871
    "Modified: 22.4.1996 / 13:00:27 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   872
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   873
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   874
radiansToDegrees
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   875
    "interpreting the receiver as degrees, return the radians"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   876
8203
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
   877
    ^ 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
   878
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
   879
    "
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
   880
     180 degreesToRadians     
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
   881
     Float pi radiansToDegrees
bb89a53e2682 fixed conversion from string to not loose precision which is later
Claus Gittinger <cg@exept.de>
parents: 7356
diff changeset
   882
    "
6637
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
   883
!
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
   884
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
   885
withScale:newScale
8203
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
   886
    "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
   887
     with newScale number of post-decimal digits"
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
   888
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
   889
    ^ self asFixedPoint:newScale
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
   890
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
   891
    "
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
   892
     1234 withScale:2 
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
   893
     1234.1 withScale:2 
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
   894
     1234.12 withScale:2 
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
   895
     1234.123 withScale:2 
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
   896
     (1/7) withScale:2
b6ee031f3096 withScale moved up.
Claus Gittinger <cg@exept.de>
parents: 6632
diff changeset
   897
    "
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   898
! !
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   899
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   900
!Number methodsFor:'intervals'!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   901
6072
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
   902
downTo:stop
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
   903
    "return an interval from receiver down to the argument, incrementing by -1"
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
   904
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
   905
    ^ self to:stop by:-1
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
   906
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
   907
    "
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
   908
     (10 downTo:1) do:[:i | Transcript showCR:i].
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
   909
    "
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
   910
!
55858717097a added #downTo:
Claus Gittinger <cg@exept.de>
parents: 5565
diff changeset
   911
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   912
to:stop
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   913
    "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
   914
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   915
    ^ Interval from:self to:stop
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   916
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   917
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   918
to:stop by:step
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   919
    "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
   920
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   921
    ^ Interval from:self to:stop by:step
6154
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
   922
!
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
   923
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
   924
to:stop byFactor:factor
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
   925
    "return a geometric series from receiver up to the argument;
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
   926
     elements have a constant factor in between"
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
   927
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
   928
    ^ GeometricSeries from:self to:stop byFactor:factor
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
   929
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
   930
    "
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
   931
     (1 to:256 byFactor:2)
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
   932
     (256 to:1 byFactor:1/2)     
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
   933
    "
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   934
! !
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   935
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   936
!Number methodsFor:'iteration'!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   937
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   938
timesRepeat:aBlock
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   939
    "evaluate the argument, aBlock self times"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   940
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   941
    |count|
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   942
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   943
    count := self.
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   944
    [count > 0] whileTrue:[
5322
411b6c0f7250 renamed sone structures;
Claus Gittinger <cg@exept.de>
parents: 5299
diff changeset
   945
	aBlock value.
411b6c0f7250 renamed sone structures;
Claus Gittinger <cg@exept.de>
parents: 5299
diff changeset
   946
	count := count - 1
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   947
    ]
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   948
! !
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
   949
3634
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   950
!Number methodsFor:'mathematical functions'!
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   951
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   952
conjugated
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   953
    "Return the complex conjugate of this Number."
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   954
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   955
    ^ self
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   956
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   957
    "Modified: / 9.7.1998 / 10:17:31 / cg"
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   958
!
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   959
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   960
exp
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   961
    "compute e**x of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   962
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   963
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   964
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   965
        ^ self asFloat exp.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   966
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
   967
    ^ self exp_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   968
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   969
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   970
floorLog:radix
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   971
    "return the logarithm truncated as an integer"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   972
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   973
    ^ (self log:radix) floor
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   974
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   975
3634
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   976
imaginary
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   977
    "Return the imaginary part of this Number."
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   978
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   979
    ^ 0
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   980
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   981
    "Modified: / 9.7.1998 / 10:17:24 / cg"
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   982
!
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
   983
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   984
ln
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   985
    "compute ln of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   986
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   987
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   988
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   989
        ^ self asFloat ln.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   990
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
   991
    ^ self ln_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   992
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   993
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   994
log
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   995
    "return log base 10 of the receiver.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   996
     Alias for log10."
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   997
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   998
    ^ self log10
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
   999
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1000
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1001
log10
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1002
    "return log base 10 of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1003
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1004
    ^ self log:10
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1005
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1006
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1007
log:aNumber
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1008
    "return log base aNumber of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1009
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1010
    ^ self ln / aNumber ln
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1011
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1012
7468
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1013
raisedTo:aNumber
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1014
    "return the receiver raised to aNumber"
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1015
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1016
    aNumber = 0 ifTrue:[^ 1].
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1017
    aNumber = 1 ifTrue:[^ self].
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1018
    aNumber isInteger ifTrue:[
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1019
        ^ self raisedToInteger:aNumber
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1020
    ].
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1021
    ^ self asFloat raisedTo:aNumber
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1022
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1023
    "
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1024
     2 raisedTo: 4    
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1025
     10 raisedTo: 4    
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1026
    "
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1027
!
61c8a3053bf4 moved math functions to number
Claus Gittinger <cg@exept.de>
parents: 7456
diff changeset
  1028
3634
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1029
real
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1030
    "Return the real part of this Number."
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1031
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1032
    ^ self
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1033
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1034
    "Modified: / 9.7.1998 / 10:17:17 / cg"
6258
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1035
!
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1036
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1037
sqrt
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1038
    "return the square root of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1039
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1040
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1041
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1042
        ^ self asFloat sqrt.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1043
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1044
    ^ self sqrt_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1045
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1046
6258
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1047
timesTwoPower:anInteger
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1048
    "Return the receiver multiplied by 2.0 raised to the power of the argument.
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1049
     For protocol completeness wrt. Squeak and ST80."
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1050
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1051
    ^ self * (2.0 raisedToInteger:anInteger)
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1052
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1053
    "
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1054
     123 timesTwoPower:0  
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1055
     123 timesTwoPower:1  
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1056
     123 timesTwoPower:2  
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1057
     123 timesTwoPower:3  
435600a44e73 added timesTwoPower.
Claus Gittinger <cg@exept.de>
parents: 6195
diff changeset
  1058
    "
3634
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1059
! !
bbf443dce0cf complex conversion stuff
Claus Gittinger <cg@exept.de>
parents: 3613
diff changeset
  1060
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1061
!Number methodsFor:'printing & storing'!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1062
5299
92b363dbd833 added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1063
printOn:aStream paddedWith:padCharacter to:size base:radix
92b363dbd833 added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1064
    |s|
92b363dbd833 added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1065
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
  1066
    radix == 10 ifTrue:[
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
  1067
        s := self printString.
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
  1068
    ] ifFalse:[
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
  1069
        s := self printStringRadix:radix.
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
  1070
    ].
5299
92b363dbd833 added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1071
    s printOn: aStream leftPaddedTo:size with: padCharacter
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
  1072
!
5299
92b363dbd833 added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1073
8301
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
  1074
printStringRadix:radix
74d9ee379019 decimalPointCharacter definition
werner
parents: 8203
diff changeset
  1075
    self subclassResponsibility
5299
92b363dbd833 added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1076
!
92b363dbd833 added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents: 5238
diff changeset
  1077
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1078
storeOn:aStream
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1079
    "append a string for storing the receiver onto the argument,
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1080
     aStream - since numbers are literals,they store as they print."
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1081
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1082
    ^ self printOn:aStream
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1083
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1084
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1085
storeString
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1086
    "return a string for storing 
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1087
     - since numbers are literals, they store as they print."
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1088
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1089
    ^ self printString
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1090
! !
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1091
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1092
!Number methodsFor:'taylor series'!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1093
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1094
arcSin_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1095
    "compute the arcSine of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1096
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1097
    "/ uses taylor series:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1098
    "/                 1*x^3   1*3 * x^5   
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1099
    "/    arcSin = x + ----- + ---------- + ...
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1100
    "/                 2* 3    2*4 *  5    
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1101
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1102
    |x2 num numf den denf approx lastApprox d|
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1103
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1104
    ((self >= -1) and:[self <= 1]) ifFalse:[ 
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1105
        ^ self class
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1106
            raise:#domainErrorSignal
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1107
            receiver:self
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1108
            selector:#arcTanh
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1109
            arguments:#()
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1110
            errorString:'bad receiver in arcTanh'
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1111
    ].
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1112
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1113
    x2 := self * self.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1114
    num := (x2 * self).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1115
    approx := self + (num / 6).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1116
    lastApprox := self.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1117
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1118
    numf := 3.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1119
    denf  := 4.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1120
    den := 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1121
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1122
    [ (lastApprox - approx) abs > epsilon ] whileTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1123
        num := (num * x2) * numf.   numf := numf + 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1124
        den := den * denf.          denf := denf + 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1125
        d := den * numf.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1126
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1127
        lastApprox := approx.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1128
        approx := approx + (num / d).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1129
    ].
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1130
    ^ approx
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1131
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1132
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1133
     0.5 arcSin                                    0.523599
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1134
     0.5 asLongFloat arcSin                        0.523598776
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1135
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1136
     0.5 asLongFloat arcSin_withAccuracy:1         0.520833333
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1137
     0.5 asLongFloat arcSin_withAccuracy:0.1       0.520833333
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1138
     0.5 asLongFloat arcSin_withAccuracy:0.01      0.523177083
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1139
     0.5 asLongFloat arcSin_withAccuracy:0.001     0.523525856
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1140
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1141
     0.5 asLongFloat arcSin_withAccuracy:1e-20     0.523598776
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1142
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1143
     0.5 asLargeFloat arcSin_withAccuracy:1e-30    -- not yet 
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1144
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1145
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1146
     0.1 arcSin                                    0.100167
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1147
     0.1 asLongFloat arcSin                        0.100167421
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1148
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1149
     0.1 asLongFloat arcSin_withAccuracy:1         0.100166667
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1150
     0.1 asLongFloat arcSin_withAccuracy:0.1       0.100166667
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1151
     0.1 asLongFloat arcSin_withAccuracy:0.01      0.100166667
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1152
     0.1 asLongFloat arcSin_withAccuracy:0.001     0.100166667
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1153
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1154
     0.1 asLongFloat arcSin_withAccuracy:1e-20     0.100167421
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1155
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1156
     0.1 asLargeFloat arcSin_withAccuracy:1e-30    -- not yet 
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1157
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1158
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1159
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1160
arcTan_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1161
    "compute the arcTangent of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1162
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1163
    "/ uses taylor series:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1164
    "/                 x^3   x^5   x^7
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1165
    "/    arcTan = x - --- + --- - --- ...
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1166
    "/                  3     5    7
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1167
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1168
    |x2 num den approx lastApprox|
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1169
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1170
    x2 := self * self.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1171
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1172
    num := (x2 * self) negated.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1173
    den := 3.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1174
    approx := self + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1175
    lastApprox := self.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1176
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1177
    [ (lastApprox - approx) abs > epsilon ] whileTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1178
        den := den + 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1179
        num := (num * x2) negated.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1180
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1181
        lastApprox := approx.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1182
        approx := approx + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1183
"/Transcript show:num; show:' '.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1184
"/Transcript show:den; show:' '.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1185
"/Transcript showCR:(num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1186
"/Transcript showCR:approx.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1187
"/Transcript cr.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1188
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1189
Transcript showCR:(lastApprox - approx) abs.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1190
    ].
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1191
    ^ approx
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1192
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1193
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1194
     1.0 arcTan                                    0.785398
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1195
     1.0 asLongFloat arcTan                        0.785398163
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1196
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1197
     1.0 asLongFloat arcTan_withAccuracy:1         0.666666667
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1198
     1.0 asLongFloat arcTan_withAccuracy:0.1       0.744011544
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1199
     1.0 asLongFloat arcTan_withAccuracy:0.01      0.790299653
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1200
     1.0 asLongFloat arcTan_withAccuracy:0.001     0.785897165
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1201
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1202
     1.0 asLongFloat arcTan_withAccuracy:1e-20     -- not yet 
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1203
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1204
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1205
     0.5 arcTan                                    0.463648
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1206
     0.5 asLongFloat arcTan                        0.463647609
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1207
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1208
     0.5 asLongFloat arcTan_withAccuracy:1         0.458333333
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1209
     0.5 asLongFloat arcTan_withAccuracy:0.1       0.458333333
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1210
     0.5 asLongFloat arcTan_withAccuracy:0.01      0.464583333
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1211
     0.5 asLongFloat arcTan_withAccuracy:0.001     0.463684276
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1212
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1213
     0.5 asLongFloat arcTan_withAccuracy:1e-20     0.463647609
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1214
     0.5 asLargeFloat arcTan_withAccuracy:1e-30    -- not yet  
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1215
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1216
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1217
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1218
cos_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1219
    "compute the cosine of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1220
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1221
    "/ uses taylor series:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1222
    "/               x^2   x^4   x^6
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1223
    "/    cos = 1 - --- + --- - --- ...
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1224
    "/                2!!    4!!    6!!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1225
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1226
    |x2 facN num den approx lastApprox|
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1227
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1228
    x2 := self * self.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1229
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1230
    num := x2 negated.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1231
    den := 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1232
    facN := 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1233
    approx := 1 + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1234
    lastApprox := 1.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1235
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1236
    [ (lastApprox - approx) abs > epsilon ] whileTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1237
        facN := facN + 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1238
        den := den * (facN - 1) * facN.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1239
        num := (num * x2) negated.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1240
        lastApprox := approx.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1241
        approx := approx + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1242
    ].
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1243
    ^ approx
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1244
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
     1.0 cos                                    0.540302
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1247
     1.0 asLongFloat cos_withAccuracy:1         0.5
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1248
     1.0 asLongFloat cos_withAccuracy:0.1       0.541666667 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1249
     1.0 asLongFloat cos_withAccuracy:0.01      0.540277778
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1250
     1.0 asLongFloat cos_withAccuracy:0.001     0.540302579
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
     1.0 asLongFloat cos_withAccuracy:1e-40     0.540302306    
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1253
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1254
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1255
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1256
cosh_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1257
    "compute the hyperbolic cosine of the receiver"
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
    "/ uses taylor series:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1260
    "/               x^2   x^4   x^6
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1261
    "/    cosh = x + --- + --- + --- ...
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1262
    "/                2!!    4!!    6!!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1263
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1264
    |x2 facN num den approx lastApprox|
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1265
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1266
    x2 := self * self.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1267
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1268
    num := x2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1269
    den := 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1270
    facN := 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1271
    approx := self + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1272
    lastApprox := self.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1273
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1274
    [ (lastApprox - approx) abs > epsilon ] whileTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1275
        facN := facN + 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1276
        den := den * (facN - 1) * facN.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1277
        num := num * x2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1278
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1279
        lastApprox := approx.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1280
        approx := approx + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1281
    ].
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1282
    ^ approx
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1283
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1284
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1285
     1.0 cosh                                    1.54308
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1286
     1.0 asLongFloat cosh_withAccuracy:1         1.5 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1287
     1.0 asLongFloat cosh_withAccuracy:0.1       1.54308 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1288
     1.0 asLongFloat cosh_withAccuracy:0.01      1.54308 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1289
     1.0 asLongFloat cosh_withAccuracy:0.001     1.54308 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1290
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1291
     1.0 asLongFloat cosh_withAccuracy:1e-40   -> 1.543080    
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1292
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1293
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1294
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1295
epsilon
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1296
    "return the maximum relative spacing of instances of mySelf 
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1297
     (i.e. the value-delta of the least significant bit)"
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1298
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1299
    ^ self class epsilon
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1300
!
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1301
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1302
exp_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1303
    "compute e**x of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1304
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1305
    "/ uses taylor series:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1306
    "/             x    x^2   x^3
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1307
    "/    e = 1 + --- + --- + --- ...
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1308
    "/             1!!    2!!    3!!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1309
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1310
    |x2 facN num den approx lastApprox|
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1311
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1312
    x2 := self * self.
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
    num := x2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1315
    den := 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1316
    facN := 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1317
    approx := self + self + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1318
    lastApprox := self.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1319
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1320
    [ (lastApprox - approx) abs > epsilon ] whileTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1321
        facN := facN + 1.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1322
        den := den * facN.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1323
        num := num * self.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1324
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1325
        lastApprox := approx.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1326
        approx := approx + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1327
    ].
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1328
    ^ approx
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1329
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1330
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1331
     1.0 exp                                    2.71828
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1332
     1.0 asLongFloat exp                        2.71828183
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1333
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1334
     1.0 asLongFloat exp_withAccuracy:1         2.66666667
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1335
     1.0 asLongFloat exp_withAccuracy:0.1       2.70833333
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1336
     1.0 asLongFloat exp_withAccuracy:0.01      2.71666667
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1337
     1.0 asLongFloat exp_withAccuracy:0.001     2.71825397
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1338
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1339
     1.0 asLongFloat exp_withAccuracy:1e-40     2.71828183 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1340
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1341
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1342
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1343
ln_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1344
    "compute ln of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1345
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1346
    "/ uses taylor series:
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1347
    "/             u^2   u^3
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1348
    "/    ln = u - --- + --- ...
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1349
    "/              2    3
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1350
    "/ where:
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1351
    "/         u = x - 1
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1352
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1353
    |u u2 num den approx lastApprox|
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1354
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1355
    u := self - 1.
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1356
    u2 := u * u.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1357
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1358
    num := u2 negated.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1359
    den := 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1360
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1361
    approx := u + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1362
    lastApprox := self.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1363
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1364
    [ (lastApprox - approx) abs > epsilon ] whileTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1365
        den := den + 1.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1366
        num := (num * u) negated.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1367
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1368
        lastApprox := approx.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1369
        approx := approx + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1370
    ].
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1371
    ^ approx
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1372
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1373
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1374
     2.0 ln                                    0.693147
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1375
     2.0 asLongFloat ln                        0.693147181
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1376
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1377
     2.0 asLongFloat ln_withAccuracy:1         0.833333333
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1378
     2.0 asLongFloat ln_withAccuracy:0.1       0.645634921
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1379
     2.0 asLongFloat ln_withAccuracy:0.01      0.688172179
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1380
     2.0 asLongFloat ln_withAccuracy:0.001     0.692647431
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1381
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1382
     2.0 asLongFloat ln_withAccuracy:1e-10     
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1383
     2.0 asLongFloat ln_withAccuracy:1e-20     
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1384
     2.0 asLongFloat ln_withAccuracy:1e-40     2.71828183 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1385
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1386
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1387
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1388
sin_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1389
    "compute the sine of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1390
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1391
    "/ uses taylor series:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1392
    "/               x^3   x^5   x^7
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1393
    "/    sin = x - --- + --- - --- ...
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1394
    "/                3!!    5!!    7!!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1395
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1396
    |x2 facN num den approx lastApprox|
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1397
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1398
    x2 := self * self.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1399
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1400
    num := (x2 * self) negated.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1401
    den := 2*3.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1402
    facN := 3.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1403
    approx := self + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1404
    lastApprox := self.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1405
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1406
    [ (lastApprox - approx) abs > epsilon ] whileTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1407
        facN := facN + 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1408
        den := den * (facN - 1) * facN.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1409
        num := (num * x2) negated.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1410
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1411
        lastApprox := approx.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1412
        approx := approx + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1413
    ].
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1414
    ^ approx
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1415
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1416
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1417
     1.0 sin                                    0.841471
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1418
     1.0 asLongFloat sin                        0.841470985
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1419
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1420
     1.0 asLongFloat sin_withAccuracy:1         0.833333333
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1421
     1.0 asLongFloat sin_withAccuracy:0.1       0.841666667 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1422
     1.0 asLongFloat sin_withAccuracy:0.01      0.841666667
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1423
     1.0 asLongFloat sin_withAccuracy:0.001     0.841468254
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1424
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1425
     1.0 asLongFloat sin_withAccuracy:1e-40     0.841470985
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1426
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1427
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1428
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1429
sinh_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1430
    "compute the hyperbolic sine of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1431
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1432
    "/ uses taylor series:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1433
    "/               x^3   x^5   x^7
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1434
    "/    sinh = x + --- + --- + --- ...
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1435
    "/                3!!    5!!    7!!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1436
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1437
    |x2 facN num den approx lastApprox|
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1438
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1439
    x2 := self * self.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1440
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1441
    num := x2 * self.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1442
    den := 2*3.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1443
    facN := 3.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1444
    approx := self + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1445
    lastApprox := self.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1446
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1447
    [ (lastApprox - approx) abs > epsilon ] whileTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1448
        facN := facN + 2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1449
        den := den * (facN - 1) * facN.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1450
        num := num * x2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1451
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1452
        lastApprox := approx.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1453
        approx := approx + (num / den).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1454
    ].
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1455
    ^ approx
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1456
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1457
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1458
     1.0 sinh                                    1.1752
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1459
     1.0 asLongFloat sinh                        1.17520119
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1460
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1461
     1.0 asLongFloat sinh_withAccuracy:1         1.16666667
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1462
     1.0 asLongFloat sinh_withAccuracy:0.1       1.175 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1463
     1.0 asLongFloat sinh_withAccuracy:0.01      1.175
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1464
     1.0 asLongFloat sinh_withAccuracy:0.001     1.17519841
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1465
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1466
     1.0 asLongFloat sinh_withAccuracy:1e-40     1.17520119 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1467
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1468
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1469
7729
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1470
sqrt_withAccuracy:epsilon 
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1471
    "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
  1472
    "
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1473
      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
  1474
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1475
                 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
  1476
        x_n+1 =  ---------------
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1477
                      2
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1478
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1479
        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
  1480
    "
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1481
    
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1482
    |approx|
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1483
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1484
    self <= 0 ifTrue:[
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1485
        self = 0 ifTrue:[
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1486
            ^ self
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1487
        ].
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1488
        self error:'negative number in sqrt'.
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1489
    ].
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1490
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1491
    approx := 1.
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1492
    [
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1493
        |lastApprox|
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1494
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1495
        lastApprox := approx.
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1496
        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
  1497
        (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
  1498
    ] whileTrue.
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1499
    ^ approx
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1500
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1501
    "
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1502
     2 sqrt                                             1.41421
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1503
     2 asLongFloat sqrt_withAccuracy:0.01               1.41666667
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1504
     2 asLongFloat sqrt_withAccuracy:0.0001             1.41421569
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1505
     2 asLongFloat sqrt_withAccuracy:0.0000001          1.41421356
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1506
     2 asLongFloat sqrt_withAccuracy:0.0000000001       1.41421356
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1507
     2 asLongFloat sqrt_withAccuracy:0.000000000001     1.41421356
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1508
     2 asLongFloat sqrt_withAccuracy:LongFloat epsilon  1.41421356
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1509
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1510
     (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
  1511
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1512
     MessageTally spyOn:[ |arg|
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1513
        arg := 2 asLongFloat.
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1514
        1000000 timesRepeat:[
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1515
             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
  1516
        ]
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1517
     ]
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1518
     Time millisecondsToRun:[ |arg|
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1519
        arg := 2 asLongFloat.
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1520
        1000000 timesRepeat:[
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1521
             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
  1522
        ]
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1523
     ]
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1524
    "
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1525
!
bbd20db09d1b Fix senders of #xxxx_withAccuracy: to use #epsilon instead of #precision.
Stefan Vogel <sv@exept.de>
parents: 7468
diff changeset
  1526
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1527
tan_withAccuracy:epsilon
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1528
    "compute the tangens of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1529
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1530
    "/ uses taylor series:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1531
    "/                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
  1532
    "/    tan = x + 1*--- + 2*--- + 17*--- + 62*----... ----------------------------------...
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1533
    "/                 3       15      315      2835                 (2n)!!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1534
    "/ where Bi is the ith bernoulli number.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1535
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1536
    |factors idx x2 num t approx lastApprox|
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1537
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1538
    "/    (1 to:20) collect:[:n| |num den|
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1539
    "/        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
  1540
    "/        den := (2*n) factorial.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1541
    "/        num / den
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1542
    "/    ]   
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1543
   factors := #(
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1544
        (1 3) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1545
        (2 15) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1546
        (17 315) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1547
        (62 2835)
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1548
        (1382 155925) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1549
        (21844 6081075) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1550
        (929569 638512875)
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1551
        (6404582 10854718875) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1552
        (443861162 1856156927625) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1553
        (18888466084 194896477400625) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1554
        (113927491862 2900518163668125) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1555
        (58870668456604 3698160658676859375) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1556
        (8374643517010684 1298054391195577640625) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1557
        (689005380505609448 263505041412702261046875) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1558
        (129848163681107301953 122529844256906551386796875) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1559
        (1736640792209901647222 4043484860477916195764296875) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1560
        (418781231495293038913922 2405873491984360136479756640625) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1561
        (56518638202982204522669764 801155872830791925447758961328125) 
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1562
        (32207686319158956594455462 1126482925555250126673224649609375)).
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1563
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1564
    x2 := self * self.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1565
8203
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
  1566
    num := x2 * self.               "/ =  x^3
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
  1567
    approx := self + (num / 3).     "/ do the first iteration
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1568
    lastApprox := self.
8203
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
  1569
    idx := 2.
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
  1570
    [
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
  1571
        t := factors at:idx.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1572
        idx := idx + 1.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1573
        num := num * x2.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1574
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1575
        lastApprox := approx.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1576
        approx := approx + (num * t first / t second).
8203
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
  1577
        epsilon < (lastApprox - approx) abs    
666bfa7bcb97 Fix C cmpiler warnings.
Stefan Vogel <sv@exept.de>
parents: 7857
diff changeset
  1578
    ] whileTrue.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1579
    ^ approx
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
    "
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1582
     0.5 tan                                    0.546302
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1583
     0.5 asLongFloat tan                        0.54630249
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1584
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1585
     0.5 asLongFloat tan_withAccuracy:1         0.541666667
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1586
     0.5 asLongFloat tan_withAccuracy:0.1       0.541666667
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1587
     0.5 asLongFloat tan_withAccuracy:0.01      0.545833333
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1588
     0.5 asLongFloat tan_withAccuracy:0.001     0.54625496
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1589
     0.5 asLongFloat tan_withAccuracy:1e-15     0.54630249
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1590
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1591
     0.5 asLongFloat tan_withAccuracy:1e-40     
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
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1595
!Number methodsFor:'testing'!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1596
5360
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  1597
isDivisibleBy:aNumber
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  1598
    "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
  1599
     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
  1600
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  1601
    aNumber = 0 ifTrue: [^ false].
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  1602
    aNumber isInteger ifFalse: [^ false].
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  1603
    ^ (self \\ aNumber) = 0
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  1604
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  1605
    "
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  1606
     3 isDivisibleBy:2     
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  1607
     4 isDivisibleBy:2
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  1608
     4.0 isDivisibleBy:2   
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  1609
     4.5 isDivisibleBy:4.5 
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  1610
     4.5 isDivisibleBy:1.0 
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  1611
    "
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  1612
!
1aef297d3cbe added #isDivisibleBy:
Claus Gittinger <cg@exept.de>
parents: 5322
diff changeset
  1613
6143
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
  1614
isNaN
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
  1615
    "return true, if the receiver is an invalid float (NaN - not a number)."
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
  1616
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
  1617
    ^ false
6155
00eaf2fa55bc isReal comment
Claus Gittinger <cg@exept.de>
parents: 6154
diff changeset
  1618
00eaf2fa55bc isReal comment
Claus Gittinger <cg@exept.de>
parents: 6154
diff changeset
  1619
    "Created: / 5.11.2001 / 18:07:26 / cg"
6143
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
  1620
!
695cc93a96b4 isNan, isInfinite and closeTo:
james
parents: 6087
diff changeset
  1621
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1622
isNumber
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1623
    "return true, if the receiver is a kind of number"
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1624
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1625
    ^ true
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1626
!
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1627
6087
826b87eab740 moved isReal
Claus Gittinger <cg@exept.de>
parents: 6072
diff changeset
  1628
isReal
826b87eab740 moved isReal
Claus Gittinger <cg@exept.de>
parents: 6072
diff changeset
  1629
    "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
  1630
     true is returned here - the method is redefined from Object."
826b87eab740 moved isReal
Claus Gittinger <cg@exept.de>
parents: 6072
diff changeset
  1631
826b87eab740 moved isReal
Claus Gittinger <cg@exept.de>
parents: 6072
diff changeset
  1632
    ^ true
826b87eab740 moved isReal
Claus Gittinger <cg@exept.de>
parents: 6072
diff changeset
  1633
!
826b87eab740 moved isReal
Claus Gittinger <cg@exept.de>
parents: 6072
diff changeset
  1634
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1635
isZero
1557
2c3c301cf48f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1422
diff changeset
  1636
    "return true, if the receiver is zero"
2c3c301cf48f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1422
diff changeset
  1637
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1638
    ^ self = 0
1557
2c3c301cf48f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1422
diff changeset
  1639
2c3c301cf48f checkin from browser
Claus Gittinger <cg@exept.de>
parents: 1422
diff changeset
  1640
    "Modified: 18.7.1996 / 12:40:49 / cg"
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1641
! !
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1642
4659
cdf37afc0e26 moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents: 4637
diff changeset
  1643
!Number methodsFor:'tracing'!
cdf37afc0e26 moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents: 4637
diff changeset
  1644
4682
4158042a9c8c *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4659
diff changeset
  1645
traceInto:aRequestor level:level from:referrer
4659
cdf37afc0e26 moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents: 4637
diff changeset
  1646
    "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
  1647
4682
4158042a9c8c *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 4659
diff changeset
  1648
    ^ aRequestor traceNumber:self level:level from:referrer
4659
cdf37afc0e26 moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents: 4637
diff changeset
  1649
cdf37afc0e26 moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents: 4637
diff changeset
  1650
cdf37afc0e26 moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents: 4637
diff changeset
  1651
! !
cdf37afc0e26 moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents: 4637
diff changeset
  1652
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1653
!Number methodsFor:'trigonometric'!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1654
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1655
arcCos
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1656
    "return the arccosine of the receiver (in radians)"
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
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1659
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1660
        ^ self asFloat arcCos.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1661
    ].
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1662
    ^ (self class pi / 2) - self arcSin
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1663
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1664
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1665
arcCosh
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1666
    "return the hyperbolic arccosine of the receiver."
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1667
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1668
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1669
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1670
        ^ self asFloat arcCosh.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1671
    ].
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1672
    ^ (self + (self*self-1) sqrt) ln.
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1673
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1674
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1675
arcSin
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1676
    "return the arcsine of the receiver (in radians)"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1677
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1678
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1679
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1680
        ^ self asFloat arcSin.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1681
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1682
    ^ self arcSin_withAccuracy:self epsilon
7449
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
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1685
arcSinh
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1686
    "return the hyperbolic arcsine of the receiver."
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1687
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1688
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1689
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1690
        ^ self asFloat arcSinh.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1691
    ].
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1692
    ^ ( self + (self*self+1) sqrt ) ln
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1693
"/    ^ self arcSinh_withAccuracy:self epsilon
7449
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
arcTan
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1697
    "return the arctangent of the receiver (as radians)"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1698
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1699
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1700
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1701
        ^ self asFloat arcTan.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1702
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1703
    ^ self arcTan_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1704
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1705
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1706
arcTanh
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1707
    "return the hyperbolic arctangent of the receiver."
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
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1710
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1711
        ^ self asFloat arcTanh.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1712
    ].
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1713
    ^ ((self + 1) ln / 2) - ((1 - self) ln / 2)
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1714
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1715
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1716
cos
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1717
    "return the cosine of the receiver (interpreted as radians)"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1718
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1719
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1720
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1721
        ^ self asFloat cos.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1722
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1723
    ^ self cos_withAccuracy:self epsilon
7449
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
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1726
cosh
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1727
    "return the hyperbolic cosine of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1728
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1729
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1730
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1731
        ^ self asFloat cosh.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1732
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1733
    ^ self cosh_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1734
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1735
8844
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1736
cot
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1737
    "return the cotangent of the receiver"
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1738
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1739
    ^ 1 / self tan
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1740
!
21e7c41e277e hyperbolic functions fixed
Claus Gittinger <cg@exept.de>
parents: 8830
diff changeset
  1741
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1742
sin
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1743
    "return the sine of the receiver (interpreted as radians)"
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
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1746
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1747
        ^ self asFloat sin.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1748
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1749
    ^ self sin_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1750
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1751
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1752
sinh
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1753
    "return the hyperbolic sine of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1754
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1755
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1756
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1757
        ^ self asFloat sinh.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1758
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1759
    ^ self sinh_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1760
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1761
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1762
tan
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1763
    "return the tangens of the receiver (interpreted as radians)"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1764
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1765
    ^ self sin / self cos
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1766
!
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1767
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1768
tanh
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1769
    "return the hyperbolic tangens of the receiver"
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1770
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1771
    (self isLimitedPrecisionReal not
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1772
    or:[self generality < 1.0 generality]) ifTrue:[
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1773
        ^ self asFloat tanh.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1774
    ].
8634
2c838074e754 epsilon
Claus Gittinger <cg@exept.de>
parents: 8303
diff changeset
  1775
    ^ self tanh_withAccuracy:self epsilon
7449
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1776
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1777
"/ 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
  1778
"/
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1779
"/    |exp nexp|
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1780
"/
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1781
"/    "/ tanh is:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1782
"/    "/      sinh(x)
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1783
"/    "/      -------
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1784
"/    "/      cosh(x)
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1785
"/    "/
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1786
"/    "/ which is:
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1787
"/    "/      (exp(x) - exp(-x)) / 2
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
"/    "/      (exp(x) + exp(-x)) / 2
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1790
"/    
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1791
"/    exp := self exp.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1792
"/    nexp := self negated exp.
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1793
"/
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1794
"/    ^ (exp - nexp) / (exp + nexp)
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1795
! !
192789c6e1c2 fallback code for trigonometric;
Claus Gittinger <cg@exept.de>
parents: 7388
diff changeset
  1796
5552
31b5cc144476 category changes
Claus Gittinger <cg@exept.de>
parents: 5360
diff changeset
  1797
!Number methodsFor:'truncation & rounding'!
3900
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1798
4895
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1799
detentBy: detent atMultiplesOf: grid snap: snap
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1800
    "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
  1801
     to that multiple.  
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1802
     Otherwise, if snap is true, return self, meaning that the values 
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1803
     in the dead zone will never be returned.  
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1804
     If snap is false, then expand the range between dead zones
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1805
     so that it covers the range between multiples of the grid, 
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1806
     and scale the value by that factor."
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1807
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1808
    | r1 r2 |
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1809
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1810
    r1 := self roundTo: grid.                    "Nearest multiple of grid"
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1811
    (self roundTo: detent) = r1 ifTrue: [^ r1].  "Snap to that multiple..."
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1812
    snap ifTrue: [^ self].                       "...or return self"
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1813
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1814
    r2 := self < r1                               "Nearest end of dead zone"
5322
411b6c0f7250 renamed sone structures;
Claus Gittinger <cg@exept.de>
parents: 5299
diff changeset
  1815
	    ifTrue: [r1 - (detent asFloat/2)]
411b6c0f7250 renamed sone structures;
Claus Gittinger <cg@exept.de>
parents: 5299
diff changeset
  1816
	    ifFalse: [r1 + (detent asFloat/2)].
4895
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1817
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1818
    "Scale values between dead zones to fill range between multiples"
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1819
    ^ r1 + ((self - r2) * grid asFloat / (grid - detent))
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1820
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1821
    "
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1822
     (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
  1823
     (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
  1824
     (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
  1825
     (-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
  1826
    "
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1827
!
cc546b082506 checkin from browser
Claus Gittinger <cg@exept.de>
parents: 4682
diff changeset
  1828
3900
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1829
fractionPart
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1830
    "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
  1831
     i.e. the receiver minus its truncated value,
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
  1832
     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
  1833
7356
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
  1834
    ^ self - self truncated
3900
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1835
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1836
    "
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1837
     1234.56789 fractionPart
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1838
     1.2345e6 fractionPart  
7356
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
  1839
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
  1840
     1.6 asLongFloat fractionPart + 1.6 asLongFloat truncated    
fe8fb0a571f2 double dispatching fixed;
Claus Gittinger <cg@exept.de>
parents: 7261
diff changeset
  1841
     -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
  1842
    "
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1843
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1844
    "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
  1845
    "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
  1846
!
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1847
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1848
integerPart
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1849
    "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
  1850
     (i.e. the truncated value)"
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1851
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1852
    ^ self truncated asFloat
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1853
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1854
    "
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1855
     1234.56789 integerPart 
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1856
     1.2345e6 integerPart   
6154
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1857
     12.5 integerPart 
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1858
     -12.5 integerPart 
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1859
     (5/3) integerPart  
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1860
     (-5/3) integerPart 
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1861
     (5/3) truncated  
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1862
     (-5/3) truncated  
3900
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1863
    "
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1864
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1865
    "Created: / 28.10.1998 / 17:14:56 / cg"
6154
6cb999c5ace3 *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 6143
diff changeset
  1866
    "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
  1867
! !
c3bc76767cfc added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents: 3770
diff changeset
  1868
1892
d3564145c15c *** empty log message ***
Claus Gittinger <cg@exept.de>
parents: 1701
diff changeset
  1869
!Number class methodsFor:'documentation'!
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1870
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1871
version
9333
c1d712705426 decimalPointCharacter stuff
Claus Gittinger <cg@exept.de>
parents: 9274
diff changeset
  1872
    ^ '$Header: /cvs/stx/stx/libbasic/Number.st,v 1.104 2006-04-26 10:39:28 cg Exp $'
701
a309e3ef7faf checkin from browser
Claus Gittinger <cg@exept.de>
parents: 569
diff changeset
  1873
! !