author | Claus Gittinger <cg@exept.de> |
Tue, 31 Jul 2001 17:10:05 +0200 | |
changeset 5897 | 793b0adad934 |
parent 5238 | f7a816a660a3 |
child 5948 | 1fc30f692713 |
permissions | -rw-r--r-- |
1 | 1 |
" |
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COPYRIGHT (c) 1993 by Claus Gittinger |
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213 | 3 |
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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Magnitude subclass:#ArithmeticValue |
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instanceVariableNames:'' |
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classVariableNames:'DivisionByZeroSignal DomainErrorSignal OverflowSignal |
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UnderflowSignal ArithmeticSignal AnyArithmeticSignal |
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UnorderedSignal ConversionErrorSignal' |
1172 | 18 |
poolDictionaries:'' |
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category:'Magnitude-Numbers' |
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! |
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||
701 | 22 |
!ArithmeticValue class methodsFor:'documentation'! |
82 | 23 |
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copyright |
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25 |
" |
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COPYRIGHT (c) 1993 by Claus Gittinger |
|
213 | 27 |
All Rights Reserved |
1 | 28 |
|
82 | 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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82 | 38 |
documentation |
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" |
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ArithmeticValue is an abstract superclass for all things responding to |
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155 | 41 |
arithmetic messages. It was inserted into the hierarchy, to allow objects |
42 |
like matrices, functions etc. to share the arithmetic methods defined here. |
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||
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[class variables:] |
45 |
ArithmeticSignal <Signal> parent of all arithmetic signals |
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(never raised itself) |
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1283 | 48 |
DomainErrorSignal <Signal> raised upon float errors |
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(for example range in trigonometric) |
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||
51 |
DivisionByZeroSignal <Signal> raised when division by 0 is attempted |
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155 | 52 |
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OverflowSignal <Signal> raised on overflow/underflow conditions |
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UnderflowSignal in float arithmetic. |
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Notice: some OperatingSystems do not |
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provide enough information for ST/X to |
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extract the real reason for the floatException |
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thus raising DomainErrorSignal in these cases. |
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[author:] |
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Claus Gittinger |
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||
1283 | 63 |
[See also:] |
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Number |
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" |
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! ! |
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701 | 68 |
!ArithmeticValue class methodsFor:'initialization'! |
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initialize |
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"setup the signals" |
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||
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DomainErrorSignal isNil ifTrue:[ |
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ArithmeticSignal := ErrorSignal newSignalMayProceed:true. |
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ArithmeticSignal nameClass:self message:#arithmeticSignal. |
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ArithmeticSignal notifierString:'arithmetic error'. |
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DomainErrorSignal := ArithmeticSignal newSignal. |
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DomainErrorSignal nameClass:self message:#domainErrorSignal. |
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DomainErrorSignal notifierString:'domain error'. |
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ConversionErrorSignal := ArithmeticSignal newSignal. |
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ConversionErrorSignal nameClass:self message:#conversionErrorSignal. |
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ConversionErrorSignal notifierString:'conversion error'. |
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DivisionByZeroSignal := ArithmeticSignal newSignal. |
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DivisionByZeroSignal nameClass:self message:#divisionByZeroSignal. |
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DivisionByZeroSignal notifierString:'division by zero'. |
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OverflowSignal := ArithmeticSignal newSignal. |
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OverflowSignal nameClass:self message:#overflowSignal. |
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OverflowSignal notifierString:'overflow'. |
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UnderflowSignal := ArithmeticSignal newSignal. |
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UnderflowSignal nameClass:self message:#underflowSignal. |
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UnderflowSignal notifierString:'underflow'. |
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UnorderedSignal := ArithmeticSignal newSignal. |
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UnorderedSignal nameClass:self message:#unorderedSignal. |
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UnorderedSignal notifierString:'unordered'. |
1 | 101 |
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AnyArithmeticSignal := SignalSet with:DomainErrorSignal |
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with:DivisionByZeroSignal |
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with:OverflowSignal |
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with:UnderflowSignal |
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with:UnorderedSignal. |
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] |
345 | 108 |
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"Modified: / 26.7.1999 / 10:39:56 / stefan" |
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"Modified: / 15.11.1999 / 20:33:46 / cg" |
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! ! |
112 |
||
701 | 113 |
!ArithmeticValue class methodsFor:'Signal constants'! |
114 |
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115 |
anyArithmeticSignal |
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"return a signalSet with all possible arithmetic signals. |
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OBSOLETE: this will vanish, since starting with 2.10.3, signal parents |
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have been added." |
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^ AnyArithmeticSignal |
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! |
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arithmeticSignal |
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"return the parent of all arithmetic signals" |
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^ ArithmeticSignal |
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! |
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conversionErrorSignal |
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"return the signal which is raised when a conversion fails |
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(such as bcd decoding of an invalid BCD number)" |
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^ ConversionErrorSignal |
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"Created: / 15.11.1999 / 20:34:18 / cg" |
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! |
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701 | 138 |
divisionByZeroSignal |
139 |
"return the signal which is raised on division by zero" |
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141 |
^ DivisionByZeroSignal |
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! |
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1 | 143 |
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domainErrorSignal |
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"return the signal which is raised on math errors |
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(such as log of 0 etc.)" |
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||
148 |
^ DomainErrorSignal |
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! |
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||
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overflowSignal |
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"return the signal which is raised on overflow conditions (in floats)" |
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||
154 |
^ OverflowSignal |
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! |
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156 |
||
157 |
underflowSignal |
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"return the signal which is raised on underflow conditions (in floats)" |
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159 |
||
160 |
^ UnderflowSignal |
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161 |
! |
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unorderedSignal |
164 |
"return the signal which is raised when numbers are compared, |
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for which no ordering is defined (for example: complex numbers)" |
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^ UnorderedSignal |
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! ! |
169 |
||
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!ArithmeticValue methodsFor:'arithmetic'! |
171 |
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* something |
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"return the product of the receiver and the argument" |
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^ self subclassResponsibility |
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! |
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+ something |
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"return the sum of the receiver and the argument" |
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^ self subclassResponsibility |
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! |
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- something |
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"return the difference of the receiver and the argument" |
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^ self subclassResponsibility |
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! |
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||
190 |
/ something |
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"return the quotient of the receiver and the argument" |
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^ self subclassResponsibility |
194 |
! |
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195 |
||
196 |
// something |
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"return the integer quotient of dividing the receiver by aNumber with |
198 |
truncation towards negative infinity." |
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"/ Note: '^ (self / something) floor' may lead to infinite recursion |
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^ self subclassResponsibility |
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||
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"Modified: / 5.11.1996 / 11:46:27 / cg" |
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"Modified: / 12.2.1998 / 16:31:36 / stefan" |
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! |
207 |
||
208 |
\\ something |
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"return the receiver modulo something. |
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The remainder has the same sign as something," |
1 | 211 |
|
701 | 212 |
^ self - ((self // something) * something) |
3134 | 213 |
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" |
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0.9 \\ 0.4 |
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216 |
0.9 \\ -0.4 |
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217 |
-0.9 \\ 0.4 |
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-0.9 \\ -0.4 |
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" |
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"Modified: / 12.2.1998 / 19:14:37 / stefan" |
701 | 222 |
! |
223 |
||
224 |
abs |
|
225 |
"return the absolute value of the receiver" |
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226 |
||
227 |
(self negative) ifTrue:[^ self negated]. |
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228 |
^ self |
|
229 |
! |
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230 |
||
231 |
negated |
|
232 |
"return the receiver negated" |
|
233 |
||
234 |
^ self class zero - self |
|
1 | 235 |
! |
236 |
||
701 | 237 |
quo:something |
238 |
"Return the integer quotient of dividing the receiver by the argument |
|
239 |
with truncation towards zero." |
|
240 |
||
241 |
^ (self / something) truncated |
|
242 |
! |
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243 |
||
244 |
reciprocal |
|
245 |
"return the receivers reciprocal" |
|
246 |
||
247 |
^ self class unity / self |
|
248 |
! |
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1 | 249 |
|
701 | 250 |
rem:something |
251 |
"Return the integer remainder of dividing the receiver by the argument |
|
252 |
with truncation towards zero. |
|
253 |
The remainder has the same sign as the receiver." |
|
254 |
||
255 |
^ self - ((self quo:something) * something) |
|
256 |
! ! |
|
257 |
||
5238 | 258 |
!ArithmeticValue methodsFor:'coercing & converting'! |
1888 | 259 |
|
260 |
coerce:aNumber |
|
261 |
"convert aNumber into an instance of the receivers class and return it." |
|
262 |
||
263 |
^ self subclassResponsibility |
|
264 |
! |
|
265 |
||
266 |
generality |
|
267 |
"return a number giving the receivers generality, that number is |
|
268 |
used to convert one of the arguments in a mixed expression. |
|
269 |
The generality has to be defined in subclasses, |
|
270 |
such that gen(a) > gen(b) iff, conversion of b into a's class |
|
271 |
does not cut precision. For example, Integer has 40, Float has 80, |
|
272 |
meaning that if we convert a Float to an Integer, some precision may |
|
273 |
be lost. The generality is used by ArithmeticValue>>retry:coercing:, |
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274 |
which converts the lower-precision number to the higher precision |
1888 | 275 |
numbers class, when mixed-type arithmetic is performed." |
276 |
||
277 |
^ self subclassResponsibility |
|
278 |
||
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279 |
"Modified: / 5.11.1996 / 15:05:30 / cg" |
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280 |
"Modified: / 13.2.1998 / 15:36:01 / stefan" |
1888 | 281 |
! |
282 |
||
283 |
retry:aSymbol coercing:aNumber |
|
284 |
"arithmetic represented by the binary operator, aSymbol, |
|
285 |
could not be performed with the receiver and the argument, aNumber, |
|
286 |
because of the differences in representation. |
|
287 |
Coerce either the receiver or the argument, depending on which has higher |
|
288 |
generality, and try again. |
|
289 |
If the operation is compare for same value (=), return false if |
|
290 |
the argument is not a Number. |
|
291 |
If the generalities are the same, create an error message, since this |
|
292 |
means that a subclass has not been fully implemented." |
|
293 |
||
294 |
|hasGenerality myGenerality otherGenerality| |
|
295 |
||
296 |
hasGenerality := aNumber respondsTo:#generality. |
|
297 |
hasGenerality ifFalse:[ |
|
298 |
(aSymbol == #=) ifTrue:[ |
|
299 |
^ false |
|
300 |
]. |
|
301 |
(aSymbol == #~=) ifTrue:[ |
|
302 |
^ true |
|
303 |
]. |
|
304 |
^ self error:'retry:coercing: argument is not a number'. |
|
305 |
]. |
|
306 |
||
307 |
myGenerality := self generality. |
|
308 |
otherGenerality := aNumber generality. |
|
309 |
(myGenerality > otherGenerality) ifTrue:[ |
|
310 |
^ self perform:aSymbol with:(self coerce:aNumber) |
|
311 |
]. |
|
312 |
(myGenerality < otherGenerality) ifTrue:[ |
|
313 |
^ (aNumber coerce:self) perform:aSymbol with:aNumber |
|
314 |
]. |
|
315 |
self error:'retry:coercing: oops - same generality' |
|
316 |
||
317 |
"Modified: 5.11.1996 / 15:03:38 / cg" |
|
318 |
! ! |
|
319 |
||
701 | 320 |
!ArithmeticValue methodsFor:'comparing'! |
321 |
||
322 |
< something |
|
323 |
"return true, if the argument is greater than the receiver" |
|
324 |
||
325 |
^ self subclassResponsibility |
|
1 | 326 |
! |
327 |
||
701 | 328 |
<= something |
329 |
"return true, if the argument is greater or equal than the receiver" |
|
330 |
||
331 |
^ (something < self) not |
|
332 |
! |
|
333 |
||
334 |
> something |
|
335 |
"return true, if the argument is less than the receiver" |
|
336 |
||
337 |
^ something < self |
|
338 |
! |
|
339 |
||
340 |
>= something |
|
341 |
"return true, if the argument is less or equal than the receiver" |
|
1 | 342 |
|
701 | 343 |
^ (self < something) not |
1 | 344 |
! |
345 |
||
701 | 346 |
compare:arg ifLess:lessBlock ifEqual:equalBlock ifGreater:greaterBlock |
347 |
"three-way compare - thanks to Self for this idea. |
|
348 |
Can be redefined in subclasses to do it with a single comparison if |
|
349 |
comparison is expensive." |
|
350 |
||
351 |
self < arg ifTrue:[ |
|
352 |
^ lessBlock value |
|
353 |
]. |
|
354 |
self = arg ifTrue:[ |
|
355 |
^ equalBlock value |
|
356 |
]. |
|
357 |
^ greaterBlock value |
|
358 |
! ! |
|
359 |
||
360 |
!ArithmeticValue methodsFor:'converting'! |
|
361 |
||
3982
22fdd79b2d9d
Define asDouble for ST80 compatibility.
Stefan Vogel <sv@exept.de>
parents:
3654
diff
changeset
|
362 |
asDouble |
22fdd79b2d9d
Define asDouble for ST80 compatibility.
Stefan Vogel <sv@exept.de>
parents:
3654
diff
changeset
|
363 |
"ST80 compatibility: return our floats are the identical to ST80 doubles" |
22fdd79b2d9d
Define asDouble for ST80 compatibility.
Stefan Vogel <sv@exept.de>
parents:
3654
diff
changeset
|
364 |
|
22fdd79b2d9d
Define asDouble for ST80 compatibility.
Stefan Vogel <sv@exept.de>
parents:
3654
diff
changeset
|
365 |
^ self asFloat |
22fdd79b2d9d
Define asDouble for ST80 compatibility.
Stefan Vogel <sv@exept.de>
parents:
3654
diff
changeset
|
366 |
|
22fdd79b2d9d
Define asDouble for ST80 compatibility.
Stefan Vogel <sv@exept.de>
parents:
3654
diff
changeset
|
367 |
"Created: / 13.2.1998 / 15:40:14 / stefan" |
22fdd79b2d9d
Define asDouble for ST80 compatibility.
Stefan Vogel <sv@exept.de>
parents:
3654
diff
changeset
|
368 |
! |
22fdd79b2d9d
Define asDouble for ST80 compatibility.
Stefan Vogel <sv@exept.de>
parents:
3654
diff
changeset
|
369 |
|
1 | 370 |
asFloat |
371 |
"return a float with same value" |
|
372 |
||
373 |
^ self subclassResponsibility |
|
374 |
! |
|
375 |
||
376 |
asFraction |
|
377 |
"return a fraction with same value" |
|
378 |
||
379 |
^ self subclassResponsibility |
|
380 |
! |
|
381 |
||
701 | 382 |
asInteger |
383 |
"return an integer with same value - might truncate" |
|
384 |
||
385 |
^ self truncated |
|
386 |
! |
|
387 |
||
1200 | 388 |
asShortFloat |
389 |
"return a shortFloat with same value" |
|
390 |
||
391 |
^ self asFloat asShortFloat |
|
392 |
||
393 |
"Modified: 17.4.1996 / 12:21:35 / cg" |
|
394 |
! |
|
395 |
||
701 | 396 |
degreesToRadians |
397 |
"interpreting the receiver as radians, return the degrees" |
|
398 |
||
399 |
^ self asFloat degreesToRadians |
|
400 |
! |
|
401 |
||
402 |
radiansToDegrees |
|
403 |
"interpreting the receiver as degrees, return the radians" |
|
404 |
||
405 |
^ self asFloat radiansToDegrees |
|
1 | 406 |
! ! |
407 |
||
4138
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
408 |
!ArithmeticValue methodsFor:'destructive arithmethic'! |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
409 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
410 |
*= aNumber |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
411 |
"Return the product of self multiplied by aNumber. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
412 |
Self MAY, but NEED NOT be changed to contain the product. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
413 |
So this method must be used: 'a := a *= 5'. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
414 |
This method can be redefined for constructed datatypes |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
415 |
to do optimisations" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
416 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
417 |
^ self * aNumber |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
418 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
419 |
"Created: / 28.4.1999 / 11:46:11 / stefan" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
420 |
"Modified: / 28.4.1999 / 11:53:28 / stefan" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
421 |
! |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
422 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
423 |
+= aNumber |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
424 |
"Return the sum of self and aNumber. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
425 |
Self MAY, but NEED NOT be changed to contain the product. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
426 |
So this method must be used: 'a := a += 5'. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
427 |
This method can be redefined for constructed datatypes |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
428 |
to do optimisations" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
429 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
430 |
^ self + aNumber |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
431 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
432 |
"Created: / 28.4.1999 / 10:13:41 / stefan" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
433 |
"Modified: / 28.4.1999 / 11:54:11 / stefan" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
434 |
! |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
435 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
436 |
-= aNumber |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
437 |
"Return the difference of self and aNumber. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
438 |
Self MAY, but NEED NOT be changed to contain the product. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
439 |
So this method must be used: 'a := a -= 5'. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
440 |
This method can be redefined for constructed datatypes |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
441 |
to do optimisations" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
442 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
443 |
^ self - aNumber |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
444 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
445 |
"Created: / 28.4.1999 / 10:13:58 / stefan" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
446 |
"Modified: / 28.4.1999 / 11:54:37 / stefan" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
447 |
! |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
448 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
449 |
/= aNumber |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
450 |
"Return the quotient of self and aNumber. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
451 |
Self MAY, but NEED NOT be changed to contain the product. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
452 |
So this method must be used: 'a := a /= 5'. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
453 |
This method can be redefined for constructed datatypes |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
454 |
to do optimisations" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
455 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
456 |
^ self / aNumber |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
457 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
458 |
"Created: / 28.4.1999 / 11:46:22 / stefan" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
459 |
"Modified: / 28.4.1999 / 11:55:06 / stefan" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
460 |
! |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
461 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
462 |
div2 |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
463 |
"Return the quotient of self divided by 2. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
464 |
Self MAY, but NEED NOT be changed to contain the product. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
465 |
So this method must be used: 'a := a div2. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
466 |
This method can be redefined for constructed datatypes |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
467 |
to do optimisations" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
468 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
469 |
^ self // 2 |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
470 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
471 |
"Created: / 28.4.1999 / 10:12:44 / stefan" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
472 |
"Modified: / 28.4.1999 / 11:56:09 / stefan" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
473 |
! |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
474 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
475 |
mul2 |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
476 |
"Return the product of self multiplied by 2. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
477 |
Self MAY, but NEED NOT be changed to contain the product. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
478 |
So this method must be used: 'a := a mul2. |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
479 |
This method can be redefined for constructed datatypes |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
480 |
to do optimisations" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
481 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
482 |
^ self * 2 |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
483 |
|
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
484 |
"Created: / 28.4.1999 / 10:12:55 / stefan" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
485 |
"Modified: / 28.4.1999 / 11:56:38 / stefan" |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
486 |
! ! |
c5030c520941
New methods for destructive arithmethics like +=, -= ...
Stefan Vogel <sv@exept.de>
parents:
3982
diff
changeset
|
487 |
|
701 | 488 |
!ArithmeticValue methodsFor:'double dispatching'! |
1 | 489 |
|
1888 | 490 |
differenceFromFixedPoint:aFixedPoint |
491 |
"the receiver does not know how to subtract from a fixedPoint number - |
|
492 |
retry the operation by coercing to higher generality" |
|
493 |
||
494 |
^ aFixedPoint retry:#- coercing:self |
|
495 |
||
496 |
"Created: 5.11.1996 / 14:55:51 / cg" |
|
497 |
! |
|
498 |
||
701 | 499 |
differenceFromFloat:aFloat |
500 |
"the receiver does not know how to subtract from a float - |
|
501 |
retry the operation by coercing to higher generality" |
|
1 | 502 |
|
701 | 503 |
^ aFloat retry:#- coercing:self |
1 | 504 |
! |
505 |
||
701 | 506 |
differenceFromFraction:aFraction |
507 |
"the receiver does not know how to subtract from a fraction - |
|
508 |
retry the operation by coercing to higher generality" |
|
1 | 509 |
|
701 | 510 |
^ aFraction retry:#- coercing:self |
1 | 511 |
! |
512 |
||
701 | 513 |
differenceFromInteger:anInteger |
514 |
"the receiver does not know how to subtract from an integer - |
|
515 |
retry the operation by coercing to higher generality" |
|
1 | 516 |
|
701 | 517 |
^ anInteger retry:#- coercing:self |
1 | 518 |
! |
519 |
||
1200 | 520 |
differenceFromShortFloat:aShortFloat |
521 |
"the receiver does not know how to subtract from a shortFloat - |
|
522 |
retry the operation by coercing to higher generality" |
|
523 |
||
524 |
^ aShortFloat retry:#- coercing:self |
|
525 |
||
526 |
"Created: 17.4.1996 / 12:33:16 / cg" |
|
527 |
! |
|
528 |
||
1888 | 529 |
lessFromFixedPoint:aFixedPoint |
530 |
"the receiver does not know how to compare to a fixedPoint number - |
|
531 |
retry the operation by coercing to higher generality" |
|
532 |
||
533 |
^ aFixedPoint retry:#< coercing:self |
|
534 |
||
535 |
"Created: 5.11.1996 / 14:56:12 / cg" |
|
536 |
! |
|
537 |
||
701 | 538 |
lessFromFloat:aFloat |
539 |
"the receiver does not know how to compare to a float - |
|
540 |
retry the operation by coercing to higher generality" |
|
1 | 541 |
|
701 | 542 |
^ aFloat retry:#< coercing:self |
1 | 543 |
! |
544 |
||
701 | 545 |
lessFromFraction:aFraction |
546 |
"the receiver does not know how to compare to a fraction - |
|
547 |
retry the operation by coercing to higher generality" |
|
1 | 548 |
|
701 | 549 |
^ aFraction retry:#< coercing:self |
1 | 550 |
! |
551 |
||
701 | 552 |
lessFromInteger:anInteger |
553 |
"the receiver does not know how to compare to an integer - |
|
554 |
retry the operation by coercing to higher generality" |
|
1 | 555 |
|
701 | 556 |
^ anInteger retry:#< coercing:self |
1 | 557 |
! |
558 |
||
1200 | 559 |
lessFromShortFloat:aShortFloat |
560 |
"the receiver does not know how to compare to a shortFloat - |
|
561 |
retry the operation by coercing to higher generality" |
|
562 |
||
563 |
^ aShortFloat retry:#< coercing:self |
|
564 |
||
565 |
"Modified: 17.4.1996 / 12:33:33 / cg" |
|
566 |
! |
|
567 |
||
1888 | 568 |
productFromFixedPoint:aFixedPoint |
569 |
"the receiver does not know how to multiply a fixed point number - |
|
570 |
retry the operation by coercing to higher generality" |
|
571 |
||
572 |
^ aFixedPoint retry:#* coercing:self |
|
573 |
||
574 |
"Created: 5.11.1996 / 14:56:28 / cg" |
|
575 |
! |
|
576 |
||
701 | 577 |
productFromFloat:aFloat |
578 |
"the receiver does not know how to multiply a float - |
|
579 |
retry the operation by coercing to higher generality" |
|
1 | 580 |
|
701 | 581 |
^ aFloat retry:#* coercing:self |
1 | 582 |
! |
583 |
||
701 | 584 |
productFromFraction:aFraction |
585 |
"the receiver does not know how to multiply a fraction - |
|
586 |
retry the operation by coercing to higher generality" |
|
1 | 587 |
|
701 | 588 |
^ aFraction retry:#* coercing:self |
1 | 589 |
! |
590 |
||
701 | 591 |
productFromInteger:anInteger |
592 |
"the receiver does not know how to multiply an integer - |
|
593 |
retry the operation by coercing to higher generality" |
|
1 | 594 |
|
701 | 595 |
^ anInteger retry:#* coercing:self |
1 | 596 |
! |
597 |
||
1200 | 598 |
productFromShortFloat:aShortFloat |
599 |
"the receiver does not know how to multiply a shortFloat - |
|
600 |
retry the operation by coercing to higher generality" |
|
601 |
||
602 |
^ aShortFloat retry:#* coercing:self |
|
603 |
||
604 |
"Created: 17.4.1996 / 12:33:48 / cg" |
|
605 |
! |
|
606 |
||
1888 | 607 |
quotientFromFixedPoint:aFixedPoint |
608 |
"the receiver does not know how to divide a fixed point number - |
|
609 |
retry the operation by coercing to higher generality" |
|
610 |
||
611 |
^ aFixedPoint retry:#/ coercing:self |
|
612 |
||
613 |
"Created: 5.11.1996 / 14:56:41 / cg" |
|
614 |
! |
|
615 |
||
701 | 616 |
quotientFromFloat:aFloat |
617 |
"the receiver does not know how to divide a float - |
|
618 |
retry the operation by coercing to higher generality" |
|
1 | 619 |
|
701 | 620 |
^ aFloat retry:#/ coercing:self |
1 | 621 |
! |
622 |
||
701 | 623 |
quotientFromFraction:aFraction |
624 |
"the receiver does not know how to divide a fraction - |
|
625 |
retry the operation by coercing to higher generality" |
|
1 | 626 |
|
701 | 627 |
^ aFraction retry:#/ coercing:self |
1 | 628 |
! |
629 |
||
701 | 630 |
quotientFromInteger:anInteger |
631 |
"the receiver does not know how to divide an integer - |
|
1 | 632 |
retry the operation by coercing to higher generality" |
633 |
||
701 | 634 |
^ anInteger retry:#/ coercing:self |
1 | 635 |
! |
636 |
||
1200 | 637 |
quotientFromShortFloat:aShortFloat |
638 |
"the receiver does not know how to divide a shortFloat - |
|
639 |
retry the operation by coercing to higher generality" |
|
640 |
||
641 |
^ aShortFloat retry:#/ coercing:self |
|
642 |
||
643 |
"Created: 17.4.1996 / 12:34:00 / cg" |
|
644 |
! |
|
645 |
||
1888 | 646 |
sumFromFixedPoint:aFixedPoint |
647 |
"the receiver does not know how to add a fixed point number - |
|
648 |
retry the operation by coercing to higher generality" |
|
649 |
||
650 |
^ aFixedPoint retry:#+ coercing:self |
|
651 |
||
652 |
"Created: 5.11.1996 / 14:56:56 / cg" |
|
653 |
! |
|
654 |
||
1 | 655 |
sumFromFloat:aFloat |
656 |
"the receiver does not know how to add a float - |
|
657 |
retry the operation by coercing to higher generality" |
|
658 |
||
659 |
^ aFloat retry:#+ coercing:self |
|
660 |
! |
|
661 |
||
662 |
sumFromFraction:aFraction |
|
663 |
"the receiver does not know how to add a fraction - |
|
664 |
retry the operation by coercing to higher generality" |
|
665 |
||
666 |
^ aFraction retry:#+ coercing:self |
|
667 |
! |
|
668 |
||
701 | 669 |
sumFromInteger:anInteger |
670 |
"the receiver does not know how to add an integer - |
|
1 | 671 |
retry the operation by coercing to higher generality" |
672 |
||
701 | 673 |
^ anInteger retry:#+ coercing:self |
1200 | 674 |
! |
675 |
||
676 |
sumFromShortFloat:aShortFloat |
|
677 |
"the receiver does not know how to add a shortFloat - |
|
678 |
retry the operation by coercing to higher generality" |
|
679 |
||
680 |
^ aShortFloat retry:#+ coercing:self |
|
681 |
||
682 |
"Created: 17.4.1996 / 12:34:10 / cg" |
|
1 | 683 |
! ! |
684 |
||
685 |
!ArithmeticValue methodsFor:'misc math'! |
|
686 |
||
687 |
exp |
|
688 |
"return e ^ receiver" |
|
689 |
||
690 |
^ self asFloat exp |
|
691 |
! |
|
692 |
||
701 | 693 |
floorLog:radix |
694 |
"return the logarithm truncated as an integer" |
|
695 |
||
696 |
^ (self log:radix) floor |
|
697 |
! |
|
698 |
||
1 | 699 |
ln |
700 |
"return the natural logarithm of the receiver" |
|
701 |
||
702 |
^ self asFloat ln |
|
703 |
! |
|
704 |
||
705 |
log |
|
706 |
"return log base 10 of the receiver" |
|
707 |
||
708 |
^ self log:10 |
|
709 |
! |
|
710 |
||
711 |
log:aNumber |
|
712 |
"return log base aNumber of the receiver" |
|
713 |
||
714 |
^ self ln / aNumber ln |
|
715 |
! |
|
716 |
||
717 |
raisedTo:aNumber |
|
718 |
"return the receiver raised to aNumber" |
|
719 |
||
720 |
aNumber = 0 ifTrue:[^ 1]. |
|
721 |
aNumber = 1 ifTrue:[^ self]. |
|
722 |
aNumber isInteger ifTrue:[ |
|
213 | 723 |
^ self raisedToInteger:aNumber |
1 | 724 |
]. |
725 |
^ self asFloat raisedTo:aNumber |
|
726 |
! |
|
727 |
||
728 |
raisedToInteger:anInteger |
|
729 |
"return the receiver raised to anInteger" |
|
730 |
||
731 |
|count result| |
|
732 |
||
733 |
result := self coerce:1. |
|
734 |
count := anInteger abs. |
|
735 |
count timesRepeat:[result := result * self]. |
|
736 |
(anInteger < 0) ifTrue:[ |
|
213 | 737 |
^ 1 / result |
1 | 738 |
]. |
739 |
^ result |
|
701 | 740 |
! |
741 |
||
742 |
sqrt |
|
743 |
"return the square root of the receiver" |
|
744 |
||
745 |
^ self asFloat sqrt |
|
746 |
! |
|
747 |
||
748 |
squared |
|
749 |
"return receiver * receiver" |
|
750 |
||
751 |
^ self * self |
|
752 |
! ! |
|
753 |
||
754 |
!ArithmeticValue methodsFor:'queries'! |
|
755 |
||
756 |
respondsToArithmetic |
|
757 |
"return true, if the receiver responds to arithmetic messages" |
|
758 |
||
759 |
^ true |
|
760 |
! ! |
|
761 |
||
762 |
!ArithmeticValue methodsFor:'testing'! |
|
763 |
||
764 |
denominator |
|
765 |
"return the denominator of the receiver" |
|
766 |
||
767 |
^ 1 |
|
768 |
! |
|
769 |
||
770 |
even |
|
771 |
"return true if the receiver is divisible by 2" |
|
772 |
||
773 |
^ self truncated asInteger even |
|
774 |
! |
|
775 |
||
3635 | 776 |
isComplex |
777 |
"Answer whether the receiver has an imaginary part" |
|
778 |
||
779 |
^ false |
|
780 |
||
781 |
"Modified: / 9.7.1998 / 10:19:27 / cg" |
|
782 |
! |
|
783 |
||
701 | 784 |
negative |
785 |
"return true, if the receiver is < 0" |
|
786 |
||
787 |
" this would lead to infinite recursion ... |
|
788 |
^ (self < 0) |
|
789 |
" |
|
790 |
^ self subclassResponsibility |
|
791 |
! |
|
792 |
||
793 |
numerator |
|
794 |
"return the numerator of the receiver." |
|
795 |
||
796 |
^ self |
|
797 |
! |
|
798 |
||
799 |
odd |
|
800 |
"return true if the receiver is not divisible by 2" |
|
801 |
||
802 |
^ self even not |
|
803 |
! |
|
804 |
||
805 |
positive |
|
806 |
"return true, if the receiver is >= 0" |
|
807 |
||
808 |
^ self negative not |
|
809 |
! |
|
810 |
||
811 |
sign |
|
812 |
"return the sign of the receiver" |
|
813 |
||
814 |
(self < 0) ifTrue:[^ -1]. |
|
815 |
(self > 0) ifTrue:[^ 1]. |
|
816 |
^ 0 |
|
817 |
! |
|
818 |
||
819 |
strictlyPositive |
|
820 |
"return true, if the receiver is > 0" |
|
821 |
||
822 |
^ (self > 0) |
|
1 | 823 |
! ! |
824 |
||
825 |
!ArithmeticValue methodsFor:'trigonometric'! |
|
826 |
||
827 |
arcCos |
|
828 |
"return the arccosine of the receiver (in radians)" |
|
829 |
||
830 |
^ self asFloat arcCos |
|
831 |
! |
|
832 |
||
833 |
arcSin |
|
834 |
"return the arcsine of the receiver (in radians)" |
|
835 |
||
836 |
^ self asFloat arcSin |
|
837 |
! |
|
838 |
||
839 |
arcTan |
|
840 |
"return the arctangens of the receiver (in radians)" |
|
841 |
||
842 |
^ self asFloat arcTan |
|
701 | 843 |
! |
844 |
||
845 |
cos |
|
846 |
"return the cosine of the receiver (interpreted as radians)" |
|
847 |
||
848 |
^ self asFloat cos |
|
849 |
! |
|
850 |
||
851 |
sin |
|
852 |
"return the sine of the receiver (interpreted as radians)" |
|
853 |
||
854 |
^ self asFloat sin |
|
855 |
! |
|
856 |
||
857 |
tan |
|
858 |
"return the tangens of the receiver (interpreted as radians)" |
|
859 |
||
860 |
^ self asFloat tan |
|
1 | 861 |
! ! |
862 |
||
701 | 863 |
!ArithmeticValue methodsFor:'truncation & rounding'! |
1 | 864 |
|
701 | 865 |
ceiling |
866 |
"return the integer nearest the receiver towards positive infinity." |
|
1 | 867 |
|
701 | 868 |
|anInteger| |
1 | 869 |
|
701 | 870 |
anInteger := self // 1. "truncates towards negative infinity" |
871 |
anInteger = self ifTrue:[^ anInteger]. |
|
872 |
^ anInteger + 1 |
|
1 | 873 |
! |
874 |
||
701 | 875 |
floor |
876 |
"return the receiver truncated towards negative infinity" |
|
1 | 877 |
|
701 | 878 |
^ self // 1 |
1 | 879 |
! |
880 |
||
701 | 881 |
roundTo:aNumber |
882 |
"return the receiver rounded to multiples of aNumber" |
|
1 | 883 |
|
701 | 884 |
^ (self / aNumber) rounded * aNumber |
885 |
! |
|
886 |
||
887 |
rounded |
|
888 |
"return the integer nearest the receiver" |
|
889 |
||
1881 | 890 |
self negative ifTrue:[ |
891 |
^ (self - 0.5) ceiling |
|
892 |
]. |
|
701 | 893 |
^ (self + 0.5) floor |
1881 | 894 |
|
895 |
"Modified: 5.11.1996 / 11:31:59 / cg" |
|
1 | 896 |
! |
897 |
||
701 | 898 |
truncateTo:aNumber |
899 |
"return the receiver truncated to multiples of aNumber" |
|
1 | 900 |
|
701 | 901 |
^ ((self / aNumber) floor * aNumber) asInteger |
1 | 902 |
! |
903 |
||
701 | 904 |
truncated |
905 |
"return the receiver truncated towards zero" |
|
1 | 906 |
|
701 | 907 |
self negative ifTrue:[ |
908 |
^ self ceiling |
|
909 |
]. |
|
910 |
^ self floor |
|
911 |
! ! |
|
1 | 912 |
|
701 | 913 |
!ArithmeticValue class methodsFor:'documentation'! |
914 |
||
915 |
version |
|
5238 | 916 |
^ '$Header: /cvs/stx/stx/libbasic/ArithmeticValue.st,v 1.33 2000-02-07 11:30:37 cg Exp $' |
1 | 917 |
! ! |
701 | 918 |
ArithmeticValue initialize! |