author | Claus Gittinger <cg@exept.de> |
Mon, 16 Jun 2003 11:17:33 +0200 | |
changeset 7356 | fe8fb0a571f2 |
parent 7261 | f35fc9cee675 |
child 7388 | bb89a53e2682 |
permissions | -rw-r--r-- |
1 | 1 |
" |
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COPYRIGHT (c) 1988 by Claus Gittinger |
5322 | 3 |
All Rights Reserved |
1 | 4 |
|
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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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"{ Package: 'stx:libbasic' }" |
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||
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ArithmeticValue subclass:#Number |
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instanceVariableNames:'' |
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parents:
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classVariableNames:'' |
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poolDictionaries:'' |
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category:'Magnitude-Numbers' |
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! |
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||
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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 |
|
5322 | 27 |
All Rights Reserved |
1 | 28 |
|
88 | 29 |
This software is furnished under a license and may be used |
30 |
only in accordance with the terms of that license and with the |
|
31 |
inclusion of the above copyright notice. This software may not |
|
32 |
be provided or otherwise made available to, or used by, any |
|
33 |
other person. No title to or ownership of the software is |
|
34 |
hereby transferred. |
|
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" |
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! |
|
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|
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documentation |
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" |
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abstract superclass for all kinds of numbers |
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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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||
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|s num| |
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|
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s := aString readStream. |
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num := self readFrom:s 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 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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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 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:[nextChar == $.]) ifFalse:[ |
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^ exceptionBlock value. |
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"/ value := super readFrom:str. |
339 | 117 |
"/ negative ifTrue:[value := value negated]. |
118 |
"/ ^ value |
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]. |
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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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132 |
radix := 10 |
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133 |
]. |
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intValue := value. |
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]. |
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allow for degenerate float to be read
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136 |
|
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(nextChar == $.) ifTrue:[ |
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str next. |
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nextChar := str peekOrNil. |
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scale := 0. |
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141 |
decimalMantissa := 0. |
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(nextChar notNil and:[nextChar isDigitRadix:radix]) ifTrue:[ |
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143 |
mantissaAndScale := Number readMantissaAndScaleFrom:str radix:radix. |
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144 |
value := value asFloat + (mantissaAndScale first). |
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145 |
nextChar := str peekOrNil |
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146 |
] |
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147 |
]. |
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148 |
('eEdDqQ' includes:nextChar) ifTrue:[ |
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149 |
str next. |
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|
150 |
nextChar := str peekOrNil. |
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|
151 |
signExp := 1. |
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|
152 |
(nextChar == $+) ifTrue:[ |
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|
153 |
str next. |
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|
154 |
nextChar := str peekOrNil. |
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|
155 |
] ifFalse:[ |
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|
156 |
(nextChar == $-) ifTrue:[ |
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|
157 |
str next. |
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|
158 |
nextChar := str peekOrNil. |
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|
159 |
signExp := -1 |
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160 |
] |
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161 |
]. |
7356 | 162 |
('qQ' includes:nextChar) ifTrue:[ |
163 |
value := value asLongFloat. |
|
164 |
] ifFalse:[ |
|
165 |
value := value asFloat. |
|
166 |
"/ future: (for now, always create Doubles for Dolphin,Squeak etc. compatibility |
|
167 |
"/ ('eE' includes:nextChar) ifTrue:[ |
|
168 |
"/ value := value asShortFloat |
|
169 |
"/ ] |
|
170 |
]. |
|
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|
171 |
(nextChar notNil and:[(nextChar isDigitRadix:radix)]) ifTrue:[ |
7356 | 172 |
exp := (Integer readFrom:str radix:radix) * signExp. |
173 |
value := value * ((value class unity * 10.0) raisedToInteger:exp) |
|
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174 |
] |
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|
175 |
] ifFalse:[ |
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|
176 |
('s' includes:nextChar) ifTrue:[ |
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|
177 |
mantissaAndScale isNil ifTrue:[ |
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|
178 |
value := intValue asFixedPoint:0. |
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|
179 |
] ifFalse:[ |
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180 |
denom := 10 raisedTo:mantissaAndScale last. |
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|
181 |
value := FixedPoint |
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182 |
numerator:(intValue * denom) + (mantissaAndScale second) |
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|
183 |
denominator:denom |
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|
184 |
scale:mantissaAndScale last. |
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185 |
]. |
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186 |
] |
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187 |
]. |
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|
188 |
negative ifTrue:[ |
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|
189 |
value := value negated |
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|
190 |
]. |
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|
191 |
value. |
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|
192 |
] on:Error do:exceptionBlock |
1 | 193 |
|
329 | 194 |
" |
195 |
Number readFrom:(ReadStream on:'54.32e-01') |
|
196 |
Number readFrom:(ReadStream on:'12345678901234567890') |
|
7356 | 197 |
Number readFrom:(ReadStream on:'12345678901234567890.0') |
198 |
Number readFrom:(ReadStream on:'12345678901234567890.012345678901234567890') |
|
329 | 199 |
Number readFrom:(ReadStream on:'16rAAAAFFFFAAAAFFFF') |
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|
200 |
Number readFrom:'16rAAAAFFFFAAAAFFFF' |
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diff
changeset
|
201 |
Number readFrom:'0.000001' |
329 | 202 |
'+00000123.45' asNumber |
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|
203 |
Number readFrom:'99s' |
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|
204 |
Number readFrom:'99.00s' |
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|
205 |
Number readFrom:'99.0000000s' |
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|
206 |
Number readFrom:'.0000000s' |
7356 | 207 |
Number readFrom:'.0000000q' |
208 |
Number readFrom:'.0000000f' |
|
209 |
Number readFrom:'.0000000e' |
|
210 |
Number readFrom:'.0000000s1' |
|
211 |
Number readFrom:'.0000000q1' |
|
212 |
Number readFrom:'.0000000f1' |
|
213 |
Number readFrom:'.0000000e1' |
|
329 | 214 |
" |
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diff
changeset
|
215 |
|
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|
216 |
"Modified: / 14.4.1998 / 19:22:50 / cg" |
296 | 217 |
! |
218 |
||
219 |
readSmalltalkSyntaxFrom:aStream |
|
220 |
"ST-80 compatibility (thanks to a note from alpha testers) |
|
221 |
read and return the next Number in smalltalk syntax from the |
|
7356 | 222 |
(character-) aStream. |
223 |
Returns nil if aStream contains no valid number." |
|
329 | 224 |
|
3613
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|
225 |
^ Scanner scanNumberFrom:aStream |
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|
226 |
"/ ^ Compiler evaluate:aStream compile:false "/ self readFrom:aStream. |
296 | 227 |
|
329 | 228 |
" |
6899
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|
229 |
Number readSmalltalkSyntaxFrom:'99d' |
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changeset
|
230 |
Number readSmalltalkSyntaxFrom:'99.00d' |
329 | 231 |
Number readSmalltalkSyntaxFrom:(ReadStream on:'54.32e-01') |
232 |
Number readSmalltalkSyntaxFrom:(ReadStream on:'12345678901234567890') |
|
233 |
Number readSmalltalkSyntaxFrom:(ReadStream on:'16rAAAAFFFFAAAAFFFF') |
|
234 |
Number readSmalltalkSyntaxFrom:(ReadStream on:'(1/10)') |
|
235 |
Number readFrom:(ReadStream on:'(1/10)') |
|
236 |
Number readSmalltalkSyntaxFrom:(ReadStream on:'+00000123.45') |
|
237 |
Number readFrom:(ReadStream on:'+00000123.45') |
|
5013 | 238 |
|
239 |
|s| |
|
240 |
s := ReadStream on:'2.'. |
|
241 |
Number readSmalltalkSyntaxFrom:s. |
|
242 |
s next |
|
243 |
||
244 |
|s| |
|
245 |
s := ReadStream on:'2.0.'. |
|
246 |
Number readSmalltalkSyntaxFrom:s. |
|
247 |
s next |
|
329 | 248 |
" |
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|
249 |
|
5013 | 250 |
"Modified: / 19.11.1999 / 18:26:47 / cg" |
1 | 251 |
! ! |
701 | 252 |
|
1892 | 253 |
!Number class methodsFor:'error reporting'! |
701 | 254 |
|
6195 | 255 |
raise:aSignalSymbolOrErrorClass receiver:someNumber selector:sel arg:arg errorString:text |
3394 | 256 |
"ST-80 compatible signal raising. Provided for PD numeric classes" |
257 |
||
4558 | 258 |
<context: #return> |
259 |
||
6195 | 260 |
^ self |
261 |
raise:aSignalSymbolOrErrorClass |
|
262 |
receiver:someNumber |
|
263 |
selector:sel |
|
264 |
arguments:(Array with:arg) |
|
265 |
errorString:text |
|
3394 | 266 |
|
267 |
" |
|
268 |
Number |
|
6195 | 269 |
raise:#domainErrorSignal |
270 |
receiver:1.0 |
|
271 |
selector:#sin |
|
272 |
arg:nil |
|
273 |
errorString:'foo bar test' |
|
3394 | 274 |
" |
6195 | 275 |
|
276 |
"Modified: / 16.11.2001 / 14:12:50 / cg" |
|
3394 | 277 |
! |
278 |
||
6195 | 279 |
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
|
280 |
"ST-80 compatible signal raising. Provided for PD numeric classes. |
e060dbb4f75c
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parents:
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diff
changeset
|
281 |
aSignalSymbolOrErrorClass is either an Error-subclass, or |
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
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diff
changeset
|
282 |
the selector which is sent to myself, to retrieve the Exception class / Signal." |
701 | 283 |
|
4558 | 284 |
<context: #return> |
285 |
||
6194
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
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diff
changeset
|
286 |
|msg signalOrException| |
701 | 287 |
|
288 |
msg := MessageSend |
|
6194
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
6155
diff
changeset
|
289 |
receiver:someNumber |
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
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diff
changeset
|
290 |
selector:sel |
6195 | 291 |
arguments:argArray. |
3394 | 292 |
|
6194
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
6155
diff
changeset
|
293 |
aSignalSymbolOrErrorClass isSymbol ifTrue:[ |
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
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diff
changeset
|
294 |
signalOrException := self perform:aSignalSymbolOrErrorClass. |
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
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diff
changeset
|
295 |
] ifFalse:[ |
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
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diff
changeset
|
296 |
signalOrException := aSignalSymbolOrErrorClass. "/ assume its an Error-Subclass |
e060dbb4f75c
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Claus Gittinger <cg@exept.de>
parents:
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diff
changeset
|
297 |
]. |
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
6155
diff
changeset
|
298 |
|
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
6155
diff
changeset
|
299 |
^ signalOrException |
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
6155
diff
changeset
|
300 |
raiseRequestWith:msg |
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
6155
diff
changeset
|
301 |
errorString:text |
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
6155
diff
changeset
|
302 |
in:thisContext sender |
701 | 303 |
|
304 |
" |
|
3394 | 305 |
Number |
6194
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
6155
diff
changeset
|
306 |
raise:#domainErrorSignal |
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
6155
diff
changeset
|
307 |
receiver:1.0 |
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
6155
diff
changeset
|
308 |
selector:#foo |
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
6155
diff
changeset
|
309 |
errorString:'foo bar test' |
701 | 310 |
" |
6194
e060dbb4f75c
allow Exception-arg in #raise:receiver:selector...
Claus Gittinger <cg@exept.de>
parents:
6155
diff
changeset
|
311 |
|
6195 | 312 |
"Modified: / 16.11.2001 / 14:12:09 / cg" |
313 |
! |
|
314 |
||
315 |
raise:aSignalSymbolOrErrorClass receiver:someNumber selector:sel errorString:text |
|
316 |
"ST-80 compatible signal raising. Provided for PD numeric classes. |
|
317 |
aSignalSymbolOrErrorClass is either an Error-subclass, or |
|
318 |
the selector which is sent to myself, to retrieve the Exception class / Signal." |
|
319 |
||
320 |
<context: #return> |
|
321 |
||
322 |
^ self |
|
323 |
raise:aSignalSymbolOrErrorClass |
|
324 |
receiver:someNumber |
|
325 |
selector:sel |
|
326 |
arguments:#() |
|
327 |
errorString:text |
|
328 |
||
329 |
" |
|
330 |
Number |
|
331 |
raise:#domainErrorSignal |
|
332 |
receiver:1.0 |
|
333 |
selector:#foo |
|
334 |
errorString:'foo bar test' |
|
335 |
" |
|
336 |
||
337 |
"Modified: / 16.11.2001 / 14:13:16 / cg" |
|
701 | 338 |
! ! |
339 |
||
1892 | 340 |
!Number class methodsFor:'private'! |
701 | 341 |
|
6899
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
342 |
readMantissaAndScaleFrom:aStream radix:radix |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
343 |
"helper for readFrom: - |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
344 |
return the mantissa (post-decimal-point digits) from the (character-)stream aStream; |
7356 | 345 |
In addition, the scale (number of postDecimalPoint digits) is returned |
346 |
(to support reading fixedPoint numbers). |
|
6899
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
347 |
No whitespace is skipped. |
7356 | 348 |
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
|
349 |
|
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
350 |
|nextChar value factor intMantissa scale| |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
351 |
|
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
352 |
value := 0.0. |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
353 |
factor := 1.0 / radix. |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
354 |
scale := 0. |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
355 |
intMantissa := 0. |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
356 |
nextChar := aStream peekOrNil. |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
357 |
[nextChar notNil and:[nextChar isDigitRadix:radix]] whileTrue:[ |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
358 |
value := value + (nextChar digitValue * factor). |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
359 |
intMantissa := (intMantissa * radix) + nextChar digitValue. |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
360 |
factor := factor / radix. |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
361 |
scale := scale + 1. |
7356 | 362 |
factor < (Float epsilon * 2) ifTrue:[ |
363 |
value := value asLongFloat |
|
364 |
]. |
|
6899
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
365 |
aStream next. |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
366 |
nextChar := aStream peekOrNil |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
367 |
]. |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
368 |
^ (Array with:value with:intMantissa with:scale). |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
369 |
|
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
370 |
" |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
371 |
Number readMantissaAndScaleFrom:'234' readStream radix:10. |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
372 |
Number readMantissaAndScaleFrom:'2' readStream radix:10. |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
373 |
Number readMantissaAndScaleFrom:'234567' readStream radix:10. |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
374 |
Number readMantissaAndScaleFrom:'234000' readStream radix:10. |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
375 |
Number readMantissaAndScaleFrom:'234' readStream radix:10. |
7356 | 376 |
|
377 |
Number readMantissaAndScaleFrom:'12345678901234567890' readStream radix:10. |
|
6899
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
378 |
" |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
379 |
|
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
380 |
"Modified: / 14.4.1998 / 18:47:47 / cg" |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
381 |
! |
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
382 |
|
701 | 383 |
readMantissaFrom:aStream radix:radix |
384 |
"helper for readFrom: - |
|
6692 | 385 |
return the mantissa (post-decimal-point digits) |
386 |
from the (character-)stream aStream; |
|
387 |
No whitespace is skipped. |
|
388 |
Errs if no number available." |
|
701 | 389 |
|
6899
9ed8494c9f10
support for fixedPoint numbers (s-exponentCharacter)
Claus Gittinger <cg@exept.de>
parents:
6702
diff
changeset
|
390 |
^ (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
|
391 |
|
6692 | 392 |
" |
393 |
Number readMantissaFrom:'234' readStream radix:10. |
|
394 |
Number readMantissaFrom:'2' readStream radix:10. |
|
395 |
Number readMantissaFrom:'234567' readStream radix:10. |
|
396 |
" |
|
397 |
||
3375
7c64da3964e4
faster conversion from string (due to slow #pastEnd)
Claus Gittinger <cg@exept.de>
parents:
3060
diff
changeset
|
398 |
"Modified: / 14.4.1998 / 18:47:47 / cg" |
701 | 399 |
! ! |
400 |
||
7261 | 401 |
!Number methodsFor:'Compatibility-Squeak'! |
4988 | 402 |
|
403 |
asSmallAngleDegrees |
|
404 |
"Return the receiver normalized to lie within the range (-180, 180)" |
|
405 |
||
406 |
| pos | |
|
407 |
pos _ self \\ 360. |
|
408 |
pos > 180 ifTrue: [pos _ pos - 360]. |
|
409 |
^ pos |
|
410 |
||
6072 | 411 |
"#(-500 -300 -150 -5 0 5 150 300 500 1200) collect: [:n | n asSmallAngleDegrees]" |
412 |
! |
|
4988 | 413 |
|
6335
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
414 |
closeFrom:aNumber |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
415 |
"are these two numbers close?" |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
416 |
|
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
417 |
| fuzz | |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
418 |
|
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
419 |
self isNaN == aNumber isNaN ifFalse: [^ false]. |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
420 |
self isInfinite == aNumber isInfinite ifFalse: [^ false]. |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
421 |
|
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
422 |
fuzz := (self abs max:aNumber abs) * 0.0001. |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
423 |
^ (self - aNumber) abs <= fuzz |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
424 |
|
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
425 |
" |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
426 |
9.0 closeTo: 8.9999 |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
427 |
9.9 closeTo: 9 |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
428 |
(9/3) closeTo: 2.9999 |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
429 |
1 closeTo: 0.9999 |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
430 |
1 closeTo: 1.0001 |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
431 |
1 closeTo: 1.001 |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
432 |
1 closeTo: 0.999 |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
433 |
|
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
434 |
0.9999 closeTo: 1 |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
435 |
1.0001 closeTo: 1 |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
436 |
1.001 closeTo: 1 |
6345 | 437 |
0.999 closeTo: 1 |
438 |
Float NaN closeTo:Float NaN |
|
439 |
Float infinity closeTo:Float infinity |
|
6335
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
440 |
" |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
441 |
! |
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
442 |
|
6143 | 443 |
closeTo:num |
444 |
"are these two numbers close?" |
|
445 |
||
6374 | 446 |
num isNumber ifFalse:[^false]. |
6335
8286bc57d05e
closeTo: generalized for all numbers
Claus Gittinger <cg@exept.de>
parents:
6258
diff
changeset
|
447 |
^ num closeFrom:self |
6143 | 448 |
|
449 |
" |
|
450 |
1 closeTo:1.0000000001 |
|
451 |
1 closeTo:1.001 |
|
452 |
" |
|
6155 | 453 |
|
454 |
"Created: / 5.11.2001 / 18:07:26 / cg" |
|
6143 | 455 |
! |
456 |
||
4988 | 457 |
newTileMorphRepresentative |
458 |
^ TileMorph new addArrows; setLiteral: self; addSuffixIfCan |
|
459 |
! |
|
460 |
||
461 |
stringForReadout |
|
462 |
^ self rounded printString |
|
463 |
! ! |
|
464 |
||
7261 | 465 |
!Number methodsFor:'Compatibility-VW'! |
6584 | 466 |
|
467 |
** aNumber |
|
468 |
^ self raisedTo:aNumber |
|
469 |
! ! |
|
470 |
||
6692 | 471 |
!Number methodsFor:'coercing'! |
472 |
||
473 |
retry: aSymbol coercing: aNumber |
|
474 |
"Arithmetic represented by the symbol, aSymbol, |
|
475 |
could not be performed with the receiver and the argument, |
|
476 |
aNumber, because of the differences in representation. Coerce either |
|
477 |
the receiver or the argument, depending on which has higher generality, and |
|
478 |
try again. If the symbol is the equals sign, answer false if the argument |
|
479 |
is not a Number. If the generalities are the same, create an error message." |
|
480 |
||
481 |
|myGenerality otherGenerality| |
|
482 |
||
483 |
(aSymbol == #=) ifTrue:[ |
|
6702
545b50725894
infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents:
6692
diff
changeset
|
484 |
(aNumber respondsTo:#generality) ifFalse:[^ false] |
6692 | 485 |
] ifFalse:[ |
6702
545b50725894
infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents:
6692
diff
changeset
|
486 |
(aNumber respondsTo:#generality) ifFalse:[ |
545b50725894
infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents:
6692
diff
changeset
|
487 |
self error:'retry:coercing: argument is not a number'. |
545b50725894
infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents:
6692
diff
changeset
|
488 |
^ self |
545b50725894
infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents:
6692
diff
changeset
|
489 |
] |
6692 | 490 |
]. |
491 |
myGenerality := self generality. |
|
492 |
otherGenerality := aNumber generality. |
|
493 |
(myGenerality > otherGenerality) ifTrue:[ |
|
6702
545b50725894
infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents:
6692
diff
changeset
|
494 |
^ self perform:aSymbol with:(self coerce:aNumber) |
6692 | 495 |
]. |
496 |
(myGenerality < otherGenerality) ifTrue:[ |
|
6702
545b50725894
infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents:
6692
diff
changeset
|
497 |
(aNumber isNumber and:[aNumber isInfinite]) ifTrue: [ |
545b50725894
infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents:
6692
diff
changeset
|
498 |
^ aNumber retryReverseOf:aSymbol with:self |
545b50725894
infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents:
6692
diff
changeset
|
499 |
]. |
545b50725894
infinitz query fix (int * point)
Claus Gittinger <cg@exept.de>
parents:
6692
diff
changeset
|
500 |
^ (aNumber coerce:self) perform:aSymbol with:aNumber |
6692 | 501 |
]. |
502 |
self error:'retry:coercing: oops - same generality' |
|
503 |
! ! |
|
504 |
||
5238 | 505 |
!Number methodsFor:'coercing & converting'! |
701 | 506 |
|
507 |
coerce:aNumber |
|
508 |
"return aNumber converted into receivers type" |
|
509 |
||
510 |
^ self subclassResponsibility |
|
511 |
! |
|
512 |
||
513 |
generality |
|
514 |
"return the generality value - see ArithmeticValue>>retry:coercing:" |
|
515 |
||
516 |
^ 40 |
|
517 |
! ! |
|
518 |
||
519 |
!Number methodsFor:'converting'! |
|
520 |
||
3634 | 521 |
% aNumber |
522 |
"Return a complex number with the receiver as the real part and |
|
523 |
aNumber as the imaginary part" |
|
524 |
||
525 |
^ Complex real:self imaginary:aNumber |
|
526 |
||
527 |
"Modified: / 9.7.1998 / 10:18:12 / cg" |
|
528 |
! |
|
529 |
||
701 | 530 |
@ aNumber |
531 |
"return a Point with the receiver as x-coordinate and the argument |
|
532 |
as y-coordinate" |
|
533 |
||
534 |
%{ /* NOCONTEXT */ |
|
535 |
||
536 |
/* |
|
537 |
* I cannot tell if this special code is worth anything |
|
538 |
*/ |
|
5322 | 539 |
if (__CanDoQuickNew(sizeof(struct __Point))) { /* OBJECT ALLOCATION */ |
540 |
OBJ newPoint; |
|
541 |
int spc; |
|
701 | 542 |
|
5322 | 543 |
__qCheckedAlignedNew(newPoint, sizeof(struct __Point)); |
544 |
__InstPtr(newPoint)->o_class = @global(Point); |
|
545 |
__PointInstPtr(newPoint)->p_x = self; |
|
546 |
__PointInstPtr(newPoint)->p_y = aNumber; |
|
547 |
if (! __bothSmallInteger(self, aNumber)) { |
|
548 |
spc = __qSpace(newPoint); |
|
549 |
__STORE_SPC(newPoint, aNumber, spc); |
|
550 |
__STORE_SPC(newPoint, self, spc); |
|
551 |
} |
|
552 |
RETURN ( newPoint ); |
|
701 | 553 |
} |
554 |
%} |
|
555 |
. |
|
556 |
^ Point x:self y:aNumber |
|
557 |
! |
|
558 |
||
3634 | 559 |
asComplex |
560 |
"Return a complex number with the receiver as the real part and |
|
561 |
zero as the imaginary part" |
|
562 |
||
7356 | 563 |
^ Complex real:self |
3634 | 564 |
|
565 |
"Modified: / 9.7.1998 / 10:18:16 / cg" |
|
566 |
! |
|
567 |
||
7214 | 568 |
asNumber |
569 |
||
570 |
^ self. |
|
571 |
! |
|
572 |
||
701 | 573 |
asPoint |
574 |
"return a new Point with the receiver as all coordinates; |
|
575 |
often used to supply the same value in two dimensions, as with |
|
576 |
symmetrical gridding or scaling." |
|
577 |
||
578 |
%{ /* NOCONTEXT */ |
|
579 |
||
5322 | 580 |
if (__CanDoQuickNew(sizeof(struct __Point))) { /* OBJECT ALLOCATION */ |
581 |
OBJ newPoint; |
|
701 | 582 |
|
5322 | 583 |
__qCheckedAlignedNew(newPoint, sizeof(struct __Point)); |
584 |
__InstPtr(newPoint)->o_class = @global(Point); |
|
585 |
__PointInstPtr(newPoint)->p_x = self; |
|
586 |
__PointInstPtr(newPoint)->p_y = self; |
|
587 |
__STORE(newPoint, self); |
|
588 |
RETURN ( newPoint ); |
|
701 | 589 |
} |
590 |
%}. |
|
591 |
^ Point x:self y:self |
|
592 |
! |
|
593 |
||
2416 | 594 |
decodeAsLiteralArray |
595 |
"given a literalEncoding in the receiver, |
|
596 |
create & return the corresponding object. |
|
597 |
The inverse operation to #literalArrayEncoding." |
|
598 |
||
599 |
^ self |
|
600 |
||
601 |
"Created: 25.2.1997 / 19:17:06 / cg" |
|
602 |
"Modified: 25.2.1997 / 19:17:42 / cg" |
|
603 |
! |
|
604 |
||
701 | 605 |
degreesToRadians |
606 |
"interpreting the receiver as radians, return the degrees" |
|
607 |
||
608 |
^ (self * (Float pi)) / 180.0 |
|
609 |
! |
|
610 |
||
611 |
literalArrayEncoding |
|
1245 | 612 |
"encode myself as an array literal, from which a copy of the receiver |
613 |
can be reconstructed with #decodeAsLiteralArray." |
|
701 | 614 |
|
615 |
^ self |
|
616 |
||
617 |
"Modified: 1.9.1995 / 02:25:26 / claus" |
|
1245 | 618 |
"Modified: 22.4.1996 / 13:00:27 / cg" |
701 | 619 |
! |
620 |
||
621 |
radiansToDegrees |
|
622 |
"interpreting the receiver as degrees, return the radians" |
|
623 |
||
624 |
^ (self * 180.0) / (Float pi) |
|
6637 | 625 |
! |
626 |
||
627 |
withScale:newScale |
|
628 |
"return a fixedPoint number representing the same valie as the receiver, |
|
629 |
with newScale number of post-decimal digits" |
|
630 |
||
631 |
^ self asFixedPoint:newScale |
|
632 |
||
633 |
" |
|
634 |
1234 withScale:2 |
|
635 |
1234.1 withScale:2 |
|
636 |
1234.12 withScale:2 |
|
637 |
1234.123 withScale:2 |
|
638 |
(1/7) withScale:2 |
|
639 |
" |
|
701 | 640 |
! ! |
641 |
||
642 |
!Number methodsFor:'intervals'! |
|
643 |
||
6072 | 644 |
downTo:stop |
645 |
"return an interval from receiver down to the argument, incrementing by -1" |
|
646 |
||
647 |
^ self to:stop by:-1 |
|
648 |
||
649 |
" |
|
650 |
(10 downTo:1) do:[:i | Transcript showCR:i]. |
|
651 |
" |
|
652 |
! |
|
653 |
||
701 | 654 |
to:stop |
655 |
"return an interval from receiver up to the argument, incrementing by 1" |
|
656 |
||
657 |
^ Interval from:self to:stop |
|
658 |
! |
|
659 |
||
660 |
to:stop by:step |
|
661 |
"return an interval from receiver up to the argument, incrementing by step" |
|
662 |
||
663 |
^ Interval from:self to:stop by:step |
|
6154 | 664 |
! |
665 |
||
666 |
to:stop byFactor:factor |
|
667 |
"return a geometric series from receiver up to the argument; |
|
668 |
elements have a constant factor in between" |
|
669 |
||
670 |
^ GeometricSeries from:self to:stop byFactor:factor |
|
671 |
||
672 |
" |
|
673 |
(1 to:256 byFactor:2) |
|
674 |
(256 to:1 byFactor:1/2) |
|
675 |
" |
|
701 | 676 |
! ! |
677 |
||
678 |
!Number methodsFor:'iteration'! |
|
679 |
||
680 |
timesRepeat:aBlock |
|
681 |
"evaluate the argument, aBlock self times" |
|
682 |
||
683 |
|count| |
|
684 |
||
685 |
count := self. |
|
686 |
[count > 0] whileTrue:[ |
|
5322 | 687 |
aBlock value. |
688 |
count := count - 1 |
|
701 | 689 |
] |
690 |
! ! |
|
691 |
||
3634 | 692 |
!Number methodsFor:'mathematical functions'! |
693 |
||
694 |
conjugated |
|
695 |
"Return the complex conjugate of this Number." |
|
696 |
||
697 |
^ self |
|
698 |
||
699 |
"Modified: / 9.7.1998 / 10:17:31 / cg" |
|
700 |
! |
|
701 |
||
702 |
imaginary |
|
703 |
"Return the imaginary part of this Number." |
|
704 |
||
705 |
^ 0 |
|
706 |
||
707 |
"Modified: / 9.7.1998 / 10:17:24 / cg" |
|
708 |
! |
|
709 |
||
710 |
real |
|
711 |
"Return the real part of this Number." |
|
712 |
||
713 |
^ self |
|
714 |
||
715 |
"Modified: / 9.7.1998 / 10:17:17 / cg" |
|
6258 | 716 |
! |
717 |
||
718 |
timesTwoPower:anInteger |
|
719 |
"Return the receiver multiplied by 2.0 raised to the power of the argument. |
|
720 |
For protocol completeness wrt. Squeak and ST80." |
|
721 |
||
722 |
^ self * (2.0 raisedToInteger:anInteger) |
|
723 |
||
724 |
" |
|
725 |
123 timesTwoPower:0 |
|
726 |
123 timesTwoPower:1 |
|
727 |
123 timesTwoPower:2 |
|
728 |
123 timesTwoPower:3 |
|
729 |
" |
|
3634 | 730 |
! ! |
731 |
||
701 | 732 |
!Number methodsFor:'printing & storing'! |
733 |
||
5299
92b363dbd833
added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents:
5238
diff
changeset
|
734 |
printOn:aStream paddedWith:padCharacter to:size base:radix |
92b363dbd833
added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents:
5238
diff
changeset
|
735 |
|s| |
92b363dbd833
added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents:
5238
diff
changeset
|
736 |
|
92b363dbd833
added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents:
5238
diff
changeset
|
737 |
s := self printStringRadix:radix. |
92b363dbd833
added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents:
5238
diff
changeset
|
738 |
s printOn: aStream leftPaddedTo:size with: padCharacter |
92b363dbd833
added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents:
5238
diff
changeset
|
739 |
|
92b363dbd833
added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents:
5238
diff
changeset
|
740 |
|
92b363dbd833
added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents:
5238
diff
changeset
|
741 |
! |
92b363dbd833
added #printOn:paddedWith:to:base:
Claus Gittinger <cg@exept.de>
parents:
5238
diff
changeset
|
742 |
|
701 | 743 |
storeOn:aStream |
744 |
"append a string for storing the receiver onto the argument, |
|
745 |
aStream - since numbers are literals,they store as they print." |
|
746 |
||
747 |
^ self printOn:aStream |
|
748 |
! |
|
749 |
||
750 |
storeString |
|
751 |
"return a string for storing |
|
752 |
- since numbers are literals, they store as they print." |
|
753 |
||
754 |
^ self printString |
|
755 |
! ! |
|
756 |
||
757 |
!Number methodsFor:'testing'! |
|
758 |
||
5360 | 759 |
isDivisibleBy:aNumber |
760 |
"return true, if the receiver can be divided by the argument, aNumber without a remainder. |
|
761 |
Notice, that the result is only worth trusting, if the receiver is an integer." |
|
762 |
||
763 |
aNumber = 0 ifTrue: [^ false]. |
|
764 |
aNumber isInteger ifFalse: [^ false]. |
|
765 |
^ (self \\ aNumber) = 0 |
|
766 |
||
767 |
" |
|
768 |
3 isDivisibleBy:2 |
|
769 |
4 isDivisibleBy:2 |
|
770 |
4.0 isDivisibleBy:2 |
|
771 |
4.5 isDivisibleBy:4.5 |
|
772 |
4.5 isDivisibleBy:1.0 |
|
773 |
" |
|
774 |
! |
|
775 |
||
6692 | 776 |
isFinite |
777 |
^true |
|
778 |
! |
|
6143 | 779 |
|
6692 | 780 |
isInfinite |
781 |
^false |
|
6143 | 782 |
! |
783 |
||
784 |
isNaN |
|
785 |
"return true, if the receiver is an invalid float (NaN - not a number)." |
|
786 |
||
787 |
^ false |
|
6155 | 788 |
|
789 |
"Created: / 5.11.2001 / 18:07:26 / cg" |
|
6143 | 790 |
! |
791 |
||
701 | 792 |
isNumber |
793 |
"return true, if the receiver is a kind of number" |
|
794 |
||
795 |
^ true |
|
796 |
! |
|
797 |
||
6087 | 798 |
isReal |
799 |
"return true, if the receiver is some kind of real number (as opposed to a complex); |
|
800 |
true is returned here - the method is redefined from Object." |
|
801 |
||
802 |
^ true |
|
803 |
! |
|
804 |
||
701 | 805 |
isZero |
1557 | 806 |
"return true, if the receiver is zero" |
807 |
||
701 | 808 |
^ self = 0 |
1557 | 809 |
|
810 |
"Modified: 18.7.1996 / 12:40:49 / cg" |
|
701 | 811 |
! ! |
812 |
||
4659
cdf37afc0e26
moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents:
4637
diff
changeset
|
813 |
!Number methodsFor:'tracing'! |
cdf37afc0e26
moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents:
4637
diff
changeset
|
814 |
|
4682 | 815 |
traceInto:aRequestor level:level from:referrer |
4659
cdf37afc0e26
moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents:
4637
diff
changeset
|
816 |
"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
|
817 |
|
4682 | 818 |
^ aRequestor traceNumber:self level:level from:referrer |
4659
cdf37afc0e26
moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents:
4637
diff
changeset
|
819 |
|
cdf37afc0e26
moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents:
4637
diff
changeset
|
820 |
|
cdf37afc0e26
moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents:
4637
diff
changeset
|
821 |
! ! |
cdf37afc0e26
moved isLiteral - some numbers are not.
Claus Gittinger <cg@exept.de>
parents:
4637
diff
changeset
|
822 |
|
5552 | 823 |
!Number methodsFor:'truncation & rounding'! |
3900
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
824 |
|
4895 | 825 |
detentBy: detent atMultiplesOf: grid snap: snap |
826 |
"Map all values that are within detent/2 of any multiple of grid |
|
827 |
to that multiple. |
|
828 |
Otherwise, if snap is true, return self, meaning that the values |
|
829 |
in the dead zone will never be returned. |
|
830 |
If snap is false, then expand the range between dead zones |
|
831 |
so that it covers the range between multiples of the grid, |
|
832 |
and scale the value by that factor." |
|
833 |
||
834 |
| r1 r2 | |
|
835 |
||
836 |
r1 := self roundTo: grid. "Nearest multiple of grid" |
|
837 |
(self roundTo: detent) = r1 ifTrue: [^ r1]. "Snap to that multiple..." |
|
838 |
snap ifTrue: [^ self]. "...or return self" |
|
839 |
||
840 |
r2 := self < r1 "Nearest end of dead zone" |
|
5322 | 841 |
ifTrue: [r1 - (detent asFloat/2)] |
842 |
ifFalse: [r1 + (detent asFloat/2)]. |
|
4895 | 843 |
|
844 |
"Scale values between dead zones to fill range between multiples" |
|
845 |
^ r1 + ((self - r2) * grid asFloat / (grid - detent)) |
|
846 |
||
847 |
" |
|
848 |
(170 to: 190 by: 2) collect: [:a | a detentBy: 10 atMultiplesOf: 90 snap: true] |
|
849 |
(170 to: 190 by: 2) collect: [:a | a detentBy: 10 atMultiplesOf: 90 snap: false] |
|
850 |
(3.9 to: 4.1 by: 0.02) collect: [:a | a detentBy: 0.1 atMultiplesOf: 1.0 snap: true] |
|
851 |
(-3.9 to: -4.1 by: -0.02) collect: [:a | a detentBy: 0.1 atMultiplesOf: 1.0 snap: false] |
|
852 |
" |
|
853 |
! |
|
854 |
||
3900
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
855 |
fractionPart |
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
856 |
"return a float with value from digits after the decimal point. |
7356 | 857 |
i.e. the receiver minus its truncated value, |
858 |
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
|
859 |
|
7356 | 860 |
^ self - self truncated |
3900
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
861 |
|
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
862 |
" |
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
863 |
1234.56789 fractionPart |
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
864 |
1.2345e6 fractionPart |
7356 | 865 |
|
866 |
1.6 asLongFloat fractionPart + 1.6 asLongFloat truncated |
|
867 |
-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
|
868 |
" |
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
869 |
|
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
870 |
"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
|
871 |
"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
|
872 |
! |
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
873 |
|
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
874 |
integerPart |
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
875 |
"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
|
876 |
(i.e. the truncated value)" |
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
877 |
|
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
878 |
^ self truncated asFloat |
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
879 |
|
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
880 |
" |
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
881 |
1234.56789 integerPart |
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
882 |
1.2345e6 integerPart |
6154 | 883 |
12.5 integerPart |
884 |
-12.5 integerPart |
|
885 |
(5/3) integerPart |
|
886 |
(-5/3) integerPart |
|
887 |
(5/3) truncated |
|
888 |
(-5/3) truncated |
|
3900
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
889 |
" |
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
890 |
|
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
891 |
"Created: / 28.10.1998 / 17:14:56 / cg" |
6154 | 892 |
"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
|
893 |
! ! |
c3bc76767cfc
added generic implementations of #fractionPart and #integerPart
Claus Gittinger <cg@exept.de>
parents:
3770
diff
changeset
|
894 |
|
1892 | 895 |
!Number class methodsFor:'documentation'! |
701 | 896 |
|
897 |
version |
|
7356 | 898 |
^ '$Header: /cvs/stx/stx/libbasic/Number.st,v 1.82 2003-06-16 09:17:12 cg Exp $' |
701 | 899 |
! ! |