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"
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COPYRIGHT (c) 1993 by Claus Gittinger
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All Rights Reserved
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This software is furnished under a license and may be used
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only in accordance with the terms of that license and with the
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inclusion of the above copyright notice. This software may not
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be provided or otherwise made available to, or used by, any
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other person. No title to or ownership of the software is
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hereby transferred.
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"
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Magnitude subclass:#ArithmeticValue
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1172
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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'
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poolDictionaries:''
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category:'Magnitude-Numbers'
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1
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!
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701
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!ArithmeticValue class methodsFor:'documentation'!
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82
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copyright
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"
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COPYRIGHT (c) 1993 by Claus Gittinger
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213
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All Rights Reserved
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1
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82
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This software is furnished under a license and may be used
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only in accordance with the terms of that license and with the
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inclusion of the above copyright notice. This software may not
|
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be provided or otherwise made available to, or used by, any
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other person. No title to or ownership of the software is
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hereby transferred.
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"
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!
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documentation
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"
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ArithmeticValue is an abstract superclass for all things responding to
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arithmetic messages. It was inserted into the hierarchy, to allow objects
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like matrices, functions etc. to share the arithmetic methods defined here.
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1283
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[class variables:]
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ArithmeticSignal <Signal> parent of all arithmetic signals
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(never raised itself)
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1283
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DomainErrorSignal <Signal> raised upon float errors
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(for example range in trigonometric)
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DivisionByZeroSignal <Signal> raised when division by 0 is attempted
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155
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1283
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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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155
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1295
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[author:]
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Claus Gittinger
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1283
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[See also:]
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Number
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82
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"
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! !
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1
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701
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!ArithmeticValue class methodsFor:'initialization'!
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1
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initialize
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"setup the signals"
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DomainErrorSignal isNil ifTrue:[
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ArithmeticSignal := ErrorSignal newSignalMayProceed:false.
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ArithmeticSignal nameClass:self message:#arithmeticSignal.
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ArithmeticSignal notifierString:'arithmetic error'.
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DomainErrorSignal := ArithmeticSignal newSignalMayProceed:false.
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DomainErrorSignal nameClass:self message:#domainErrorSignal.
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DomainErrorSignal notifierString:'domain error'.
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DivisionByZeroSignal := ArithmeticSignal newSignalMayProceed:false.
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DivisionByZeroSignal nameClass:self message:#divisionByZeroSignal.
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DivisionByZeroSignal notifierString:'division by zero'.
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1
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OverflowSignal := ArithmeticSignal newSignalMayProceed:false.
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OverflowSignal nameClass:self message:#overflowSignal.
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OverflowSignal notifierString:'overflow'.
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UnderflowSignal := ArithmeticSignal newSignalMayProceed:false.
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UnderflowSignal nameClass:self message:#underflowSignal.
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UnderflowSignal notifierString:'underflow'.
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UnorderedSignal := ArithmeticSignal newSignalMayProceed:false.
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UnorderedSignal nameClass:self message:#unorderedSignal.
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UnorderedSignal notifierString:'unordered'.
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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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]
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! !
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701
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!ArithmeticValue class methodsFor:'Signal constants'!
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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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divisionByZeroSignal
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"return the signal which is raised on division by zero"
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^ DivisionByZeroSignal
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!
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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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^ DomainErrorSignal
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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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^ OverflowSignal
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!
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underflowSignal
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"return the signal which is raised on underflow conditions (in floats)"
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^ UnderflowSignal
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!
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unorderedSignal
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"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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^ UnderflowSignal
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! !
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701
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!ArithmeticValue methodsFor:'arithmetic'!
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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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/ something
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"return the quotient of the receiver and the argument"
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701
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^ self subclassResponsibility
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!
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// something
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1881
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"return the integer quotient of dividing the receiver by aNumber with
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truncation towards negative infinity."
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701
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1172
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"/ changed: the code below may lead to infinite recursion
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^ self subclassResponsibility
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"/ ^ (self / something) floor
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1881
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"Modified: 5.11.1996 / 11:46:27 / cg"
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701
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!
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\\ something
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3134
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"return the integer modulus of the receiver and the argument"
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1
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701
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^ self - ((self // something) * something)
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3134
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"Modified: / 18.12.1997 / 17:28:45 / stefan"
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701
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!
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abs
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"return the absolute value of the receiver"
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(self negative) ifTrue:[^ self negated].
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^ self
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!
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negated
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"return the receiver negated"
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^ self class zero - self
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!
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701
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quo:something
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"Return the integer quotient of dividing the receiver by the argument
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with truncation towards zero."
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^ (self / something) truncated
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!
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reciprocal
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"return the receivers reciprocal"
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^ self class unity / self
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!
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1
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701
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rem:something
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"Return the integer remainder of dividing the receiver by the argument
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with truncation towards zero.
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The remainder has the same sign as the receiver."
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^ self - ((self quo:something) * something)
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! !
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1888
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!ArithmeticValue methodsFor:'coercing'!
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coerce:aNumber
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"convert aNumber into an instance of the receivers class and return it."
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^ self subclassResponsibility
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!
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241 |
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generality
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"return a number giving the receivers generality, that number is
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used to convert one of the arguments in a mixed expression.
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The generality has to be defined in subclasses,
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such that gen(a) > gen(b) iff, conversion of b into a's class
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does not cut precision. For example, Integer has 40, Float has 80,
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meaning that if we convert a Float to an Integer, some precision may
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be lost. The generality is used by ArithmeticValue>>retry:coercing:,
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which converts the lower-prevision number to the higher precision
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numbers class, when mixed-type arithmetic is performed."
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^ self subclassResponsibility
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254 |
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"Modified: 5.11.1996 / 15:05:30 / cg"
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!
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257 |
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retry:aSymbol coercing:aNumber
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"arithmetic represented by the binary operator, aSymbol,
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260 |
could not be performed with the receiver and the argument, aNumber,
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because of the differences in representation.
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Coerce either the receiver or the argument, depending on which has higher
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generality, and try again.
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If the operation is compare for same value (=), return false if
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the argument is not a Number.
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266 |
If the generalities are the same, create an error message, since this
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267 |
means that a subclass has not been fully implemented."
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268 |
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269 |
|hasGenerality myGenerality otherGenerality|
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270 |
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271 |
hasGenerality := aNumber respondsTo:#generality.
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hasGenerality ifFalse:[
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(aSymbol == #=) ifTrue:[
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^ false
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275 |
].
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276 |
(aSymbol == #~=) ifTrue:[
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277 |
^ true
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278 |
].
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279 |
^ self error:'retry:coercing: argument is not a number'.
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].
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281 |
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282 |
myGenerality := self generality.
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283 |
otherGenerality := aNumber generality.
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284 |
(myGenerality > otherGenerality) ifTrue:[
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285 |
^ self perform:aSymbol with:(self coerce:aNumber)
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286 |
].
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287 |
(myGenerality < otherGenerality) ifTrue:[
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288 |
^ (aNumber coerce:self) perform:aSymbol with:aNumber
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289 |
].
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290 |
self error:'retry:coercing: oops - same generality'
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291 |
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292 |
"Modified: 5.11.1996 / 15:03:38 / cg"
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293 |
! !
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294 |
|
701
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295 |
!ArithmeticValue methodsFor:'comparing'!
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296 |
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297 |
< something
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298 |
"return true, if the argument is greater than the receiver"
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299 |
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300 |
^ self subclassResponsibility
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1
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!
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302 |
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701
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303 |
<= something
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304 |
"return true, if the argument is greater or equal than the receiver"
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305 |
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306 |
^ (something < self) not
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307 |
!
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308 |
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309 |
> something
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310 |
"return true, if the argument is less than the receiver"
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311 |
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312 |
^ something < self
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313 |
!
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314 |
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315 |
>= something
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316 |
"return true, if the argument is less or equal than the receiver"
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1
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317 |
|
701
|
318 |
^ (self < something) not
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1
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319 |
!
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320 |
|
701
|
321 |
compare:arg ifLess:lessBlock ifEqual:equalBlock ifGreater:greaterBlock
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322 |
"three-way compare - thanks to Self for this idea.
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323 |
Can be redefined in subclasses to do it with a single comparison if
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324 |
comparison is expensive."
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325 |
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326 |
self < arg ifTrue:[
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327 |
^ lessBlock value
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|
328 |
].
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329 |
self = arg ifTrue:[
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330 |
^ equalBlock value
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331 |
].
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332 |
^ greaterBlock value
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333 |
! !
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334 |
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335 |
!ArithmeticValue methodsFor:'converting'!
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336 |
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1
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337 |
asFloat
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338 |
"return a float with same value"
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339 |
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340 |
^ self subclassResponsibility
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341 |
!
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342 |
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343 |
asFraction
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344 |
"return a fraction with same value"
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|
345 |
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|
346 |
^ self subclassResponsibility
|
|
347 |
!
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348 |
|
701
|
349 |
asInteger
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|
350 |
"return an integer with same value - might truncate"
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351 |
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|
352 |
^ self truncated
|
|
353 |
!
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354 |
|
1200
|
355 |
asShortFloat
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|
356 |
"return a shortFloat with same value"
|
|
357 |
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|
358 |
^ self asFloat asShortFloat
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|
359 |
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|
360 |
"Modified: 17.4.1996 / 12:21:35 / cg"
|
|
361 |
!
|
|
362 |
|
701
|
363 |
degreesToRadians
|
|
364 |
"interpreting the receiver as radians, return the degrees"
|
|
365 |
|
|
366 |
^ self asFloat degreesToRadians
|
|
367 |
!
|
|
368 |
|
|
369 |
radiansToDegrees
|
|
370 |
"interpreting the receiver as degrees, return the radians"
|
|
371 |
|
|
372 |
^ self asFloat radiansToDegrees
|
1
|
373 |
! !
|
|
374 |
|
701
|
375 |
!ArithmeticValue methodsFor:'double dispatching'!
|
1
|
376 |
|
1888
|
377 |
differenceFromFixedPoint:aFixedPoint
|
|
378 |
"the receiver does not know how to subtract from a fixedPoint number -
|
|
379 |
retry the operation by coercing to higher generality"
|
|
380 |
|
|
381 |
^ aFixedPoint retry:#- coercing:self
|
|
382 |
|
|
383 |
"Created: 5.11.1996 / 14:55:51 / cg"
|
|
384 |
!
|
|
385 |
|
701
|
386 |
differenceFromFloat:aFloat
|
|
387 |
"the receiver does not know how to subtract from a float -
|
|
388 |
retry the operation by coercing to higher generality"
|
1
|
389 |
|
701
|
390 |
^ aFloat retry:#- coercing:self
|
1
|
391 |
!
|
|
392 |
|
701
|
393 |
differenceFromFraction:aFraction
|
|
394 |
"the receiver does not know how to subtract from a fraction -
|
|
395 |
retry the operation by coercing to higher generality"
|
1
|
396 |
|
701
|
397 |
^ aFraction retry:#- coercing:self
|
1
|
398 |
!
|
|
399 |
|
701
|
400 |
differenceFromInteger:anInteger
|
|
401 |
"the receiver does not know how to subtract from an integer -
|
|
402 |
retry the operation by coercing to higher generality"
|
1
|
403 |
|
701
|
404 |
^ anInteger retry:#- coercing:self
|
1
|
405 |
!
|
|
406 |
|
1200
|
407 |
differenceFromShortFloat:aShortFloat
|
|
408 |
"the receiver does not know how to subtract from a shortFloat -
|
|
409 |
retry the operation by coercing to higher generality"
|
|
410 |
|
|
411 |
^ aShortFloat retry:#- coercing:self
|
|
412 |
|
|
413 |
"Created: 17.4.1996 / 12:33:16 / cg"
|
|
414 |
!
|
|
415 |
|
1888
|
416 |
lessFromFixedPoint:aFixedPoint
|
|
417 |
"the receiver does not know how to compare to a fixedPoint number -
|
|
418 |
retry the operation by coercing to higher generality"
|
|
419 |
|
|
420 |
^ aFixedPoint retry:#< coercing:self
|
|
421 |
|
|
422 |
"Created: 5.11.1996 / 14:56:12 / cg"
|
|
423 |
!
|
|
424 |
|
701
|
425 |
lessFromFloat:aFloat
|
|
426 |
"the receiver does not know how to compare to a float -
|
|
427 |
retry the operation by coercing to higher generality"
|
1
|
428 |
|
701
|
429 |
^ aFloat retry:#< coercing:self
|
1
|
430 |
!
|
|
431 |
|
701
|
432 |
lessFromFraction:aFraction
|
|
433 |
"the receiver does not know how to compare to a fraction -
|
|
434 |
retry the operation by coercing to higher generality"
|
1
|
435 |
|
701
|
436 |
^ aFraction retry:#< coercing:self
|
1
|
437 |
!
|
|
438 |
|
701
|
439 |
lessFromInteger:anInteger
|
|
440 |
"the receiver does not know how to compare to an integer -
|
|
441 |
retry the operation by coercing to higher generality"
|
1
|
442 |
|
701
|
443 |
^ anInteger retry:#< coercing:self
|
1
|
444 |
!
|
|
445 |
|
1200
|
446 |
lessFromShortFloat:aShortFloat
|
|
447 |
"the receiver does not know how to compare to a shortFloat -
|
|
448 |
retry the operation by coercing to higher generality"
|
|
449 |
|
|
450 |
^ aShortFloat retry:#< coercing:self
|
|
451 |
|
|
452 |
"Modified: 17.4.1996 / 12:33:33 / cg"
|
|
453 |
!
|
|
454 |
|
1888
|
455 |
productFromFixedPoint:aFixedPoint
|
|
456 |
"the receiver does not know how to multiply a fixed point number -
|
|
457 |
retry the operation by coercing to higher generality"
|
|
458 |
|
|
459 |
^ aFixedPoint retry:#* coercing:self
|
|
460 |
|
|
461 |
"Created: 5.11.1996 / 14:56:28 / cg"
|
|
462 |
!
|
|
463 |
|
701
|
464 |
productFromFloat:aFloat
|
|
465 |
"the receiver does not know how to multiply a float -
|
|
466 |
retry the operation by coercing to higher generality"
|
1
|
467 |
|
701
|
468 |
^ aFloat retry:#* coercing:self
|
1
|
469 |
!
|
|
470 |
|
701
|
471 |
productFromFraction:aFraction
|
|
472 |
"the receiver does not know how to multiply a fraction -
|
|
473 |
retry the operation by coercing to higher generality"
|
1
|
474 |
|
701
|
475 |
^ aFraction retry:#* coercing:self
|
1
|
476 |
!
|
|
477 |
|
701
|
478 |
productFromInteger:anInteger
|
|
479 |
"the receiver does not know how to multiply an integer -
|
|
480 |
retry the operation by coercing to higher generality"
|
1
|
481 |
|
701
|
482 |
^ anInteger retry:#* coercing:self
|
1
|
483 |
!
|
|
484 |
|
1200
|
485 |
productFromShortFloat:aShortFloat
|
|
486 |
"the receiver does not know how to multiply a shortFloat -
|
|
487 |
retry the operation by coercing to higher generality"
|
|
488 |
|
|
489 |
^ aShortFloat retry:#* coercing:self
|
|
490 |
|
|
491 |
"Created: 17.4.1996 / 12:33:48 / cg"
|
|
492 |
!
|
|
493 |
|
1888
|
494 |
quotientFromFixedPoint:aFixedPoint
|
|
495 |
"the receiver does not know how to divide a fixed point number -
|
|
496 |
retry the operation by coercing to higher generality"
|
|
497 |
|
|
498 |
^ aFixedPoint retry:#/ coercing:self
|
|
499 |
|
|
500 |
"Created: 5.11.1996 / 14:56:41 / cg"
|
|
501 |
!
|
|
502 |
|
701
|
503 |
quotientFromFloat:aFloat
|
|
504 |
"the receiver does not know how to divide a float -
|
|
505 |
retry the operation by coercing to higher generality"
|
1
|
506 |
|
701
|
507 |
^ aFloat retry:#/ coercing:self
|
1
|
508 |
!
|
|
509 |
|
701
|
510 |
quotientFromFraction:aFraction
|
|
511 |
"the receiver does not know how to divide a fraction -
|
|
512 |
retry the operation by coercing to higher generality"
|
1
|
513 |
|
701
|
514 |
^ aFraction retry:#/ coercing:self
|
1
|
515 |
!
|
|
516 |
|
701
|
517 |
quotientFromInteger:anInteger
|
|
518 |
"the receiver does not know how to divide an integer -
|
1
|
519 |
retry the operation by coercing to higher generality"
|
|
520 |
|
701
|
521 |
^ anInteger retry:#/ coercing:self
|
1
|
522 |
!
|
|
523 |
|
1200
|
524 |
quotientFromShortFloat:aShortFloat
|
|
525 |
"the receiver does not know how to divide a shortFloat -
|
|
526 |
retry the operation by coercing to higher generality"
|
|
527 |
|
|
528 |
^ aShortFloat retry:#/ coercing:self
|
|
529 |
|
|
530 |
"Created: 17.4.1996 / 12:34:00 / cg"
|
|
531 |
!
|
|
532 |
|
1888
|
533 |
sumFromFixedPoint:aFixedPoint
|
|
534 |
"the receiver does not know how to add a fixed point number -
|
|
535 |
retry the operation by coercing to higher generality"
|
|
536 |
|
|
537 |
^ aFixedPoint retry:#+ coercing:self
|
|
538 |
|
|
539 |
"Created: 5.11.1996 / 14:56:56 / cg"
|
|
540 |
!
|
|
541 |
|
1
|
542 |
sumFromFloat:aFloat
|
|
543 |
"the receiver does not know how to add a float -
|
|
544 |
retry the operation by coercing to higher generality"
|
|
545 |
|
|
546 |
^ aFloat retry:#+ coercing:self
|
|
547 |
!
|
|
548 |
|
|
549 |
sumFromFraction:aFraction
|
|
550 |
"the receiver does not know how to add a fraction -
|
|
551 |
retry the operation by coercing to higher generality"
|
|
552 |
|
|
553 |
^ aFraction retry:#+ coercing:self
|
|
554 |
!
|
|
555 |
|
701
|
556 |
sumFromInteger:anInteger
|
|
557 |
"the receiver does not know how to add an integer -
|
1
|
558 |
retry the operation by coercing to higher generality"
|
|
559 |
|
701
|
560 |
^ anInteger retry:#+ coercing:self
|
1200
|
561 |
!
|
|
562 |
|
|
563 |
sumFromShortFloat:aShortFloat
|
|
564 |
"the receiver does not know how to add a shortFloat -
|
|
565 |
retry the operation by coercing to higher generality"
|
|
566 |
|
|
567 |
^ aShortFloat retry:#+ coercing:self
|
|
568 |
|
|
569 |
"Created: 17.4.1996 / 12:34:10 / cg"
|
1
|
570 |
! !
|
|
571 |
|
|
572 |
!ArithmeticValue methodsFor:'misc math'!
|
|
573 |
|
|
574 |
exp
|
|
575 |
"return e ^ receiver"
|
|
576 |
|
|
577 |
^ self asFloat exp
|
|
578 |
!
|
|
579 |
|
701
|
580 |
floorLog:radix
|
|
581 |
"return the logarithm truncated as an integer"
|
|
582 |
|
|
583 |
^ (self log:radix) floor
|
|
584 |
!
|
|
585 |
|
1
|
586 |
ln
|
|
587 |
"return the natural logarithm of the receiver"
|
|
588 |
|
|
589 |
^ self asFloat ln
|
|
590 |
!
|
|
591 |
|
|
592 |
log
|
|
593 |
"return log base 10 of the receiver"
|
|
594 |
|
|
595 |
^ self log:10
|
|
596 |
!
|
|
597 |
|
|
598 |
log:aNumber
|
|
599 |
"return log base aNumber of the receiver"
|
|
600 |
|
|
601 |
^ self ln / aNumber ln
|
|
602 |
!
|
|
603 |
|
|
604 |
raisedTo:aNumber
|
|
605 |
"return the receiver raised to aNumber"
|
|
606 |
|
|
607 |
aNumber = 0 ifTrue:[^ 1].
|
|
608 |
aNumber = 1 ifTrue:[^ self].
|
|
609 |
aNumber isInteger ifTrue:[
|
213
|
610 |
^ self raisedToInteger:aNumber
|
1
|
611 |
].
|
|
612 |
^ self asFloat raisedTo:aNumber
|
|
613 |
!
|
|
614 |
|
|
615 |
raisedToInteger:anInteger
|
|
616 |
"return the receiver raised to anInteger"
|
|
617 |
|
|
618 |
|count result|
|
|
619 |
|
|
620 |
result := self coerce:1.
|
|
621 |
count := anInteger abs.
|
|
622 |
count timesRepeat:[result := result * self].
|
|
623 |
(anInteger < 0) ifTrue:[
|
213
|
624 |
^ 1 / result
|
1
|
625 |
].
|
|
626 |
^ result
|
701
|
627 |
!
|
|
628 |
|
|
629 |
sqrt
|
|
630 |
"return the square root of the receiver"
|
|
631 |
|
|
632 |
^ self asFloat sqrt
|
|
633 |
!
|
|
634 |
|
|
635 |
squared
|
|
636 |
"return receiver * receiver"
|
|
637 |
|
|
638 |
^ self * self
|
|
639 |
! !
|
|
640 |
|
|
641 |
!ArithmeticValue methodsFor:'queries'!
|
|
642 |
|
|
643 |
respondsToArithmetic
|
|
644 |
"return true, if the receiver responds to arithmetic messages"
|
|
645 |
|
|
646 |
^ true
|
|
647 |
! !
|
|
648 |
|
|
649 |
!ArithmeticValue methodsFor:'testing'!
|
|
650 |
|
|
651 |
denominator
|
|
652 |
"return the denominator of the receiver"
|
|
653 |
|
|
654 |
^ 1
|
|
655 |
!
|
|
656 |
|
|
657 |
even
|
|
658 |
"return true if the receiver is divisible by 2"
|
|
659 |
|
|
660 |
^ self truncated asInteger even
|
|
661 |
!
|
|
662 |
|
|
663 |
negative
|
|
664 |
"return true, if the receiver is < 0"
|
|
665 |
|
|
666 |
" this would lead to infinite recursion ...
|
|
667 |
^ (self < 0)
|
|
668 |
"
|
|
669 |
^ self subclassResponsibility
|
|
670 |
!
|
|
671 |
|
|
672 |
numerator
|
|
673 |
"return the numerator of the receiver."
|
|
674 |
|
|
675 |
^ self
|
|
676 |
!
|
|
677 |
|
|
678 |
odd
|
|
679 |
"return true if the receiver is not divisible by 2"
|
|
680 |
|
|
681 |
^ self even not
|
|
682 |
!
|
|
683 |
|
|
684 |
positive
|
|
685 |
"return true, if the receiver is >= 0"
|
|
686 |
|
|
687 |
^ self negative not
|
|
688 |
!
|
|
689 |
|
|
690 |
sign
|
|
691 |
"return the sign of the receiver"
|
|
692 |
|
|
693 |
(self < 0) ifTrue:[^ -1].
|
|
694 |
(self > 0) ifTrue:[^ 1].
|
|
695 |
^ 0
|
|
696 |
!
|
|
697 |
|
|
698 |
strictlyPositive
|
|
699 |
"return true, if the receiver is > 0"
|
|
700 |
|
|
701 |
^ (self > 0)
|
1
|
702 |
! !
|
|
703 |
|
|
704 |
!ArithmeticValue methodsFor:'trigonometric'!
|
|
705 |
|
|
706 |
arcCos
|
|
707 |
"return the arccosine of the receiver (in radians)"
|
|
708 |
|
|
709 |
^ self asFloat arcCos
|
|
710 |
!
|
|
711 |
|
|
712 |
arcSin
|
|
713 |
"return the arcsine of the receiver (in radians)"
|
|
714 |
|
|
715 |
^ self asFloat arcSin
|
|
716 |
!
|
|
717 |
|
|
718 |
arcTan
|
|
719 |
"return the arctangens of the receiver (in radians)"
|
|
720 |
|
|
721 |
^ self asFloat arcTan
|
701
|
722 |
!
|
|
723 |
|
|
724 |
cos
|
|
725 |
"return the cosine of the receiver (interpreted as radians)"
|
|
726 |
|
|
727 |
^ self asFloat cos
|
|
728 |
!
|
|
729 |
|
|
730 |
sin
|
|
731 |
"return the sine of the receiver (interpreted as radians)"
|
|
732 |
|
|
733 |
^ self asFloat sin
|
|
734 |
!
|
|
735 |
|
|
736 |
tan
|
|
737 |
"return the tangens of the receiver (interpreted as radians)"
|
|
738 |
|
|
739 |
^ self asFloat tan
|
1
|
740 |
! !
|
|
741 |
|
701
|
742 |
!ArithmeticValue methodsFor:'truncation & rounding'!
|
1
|
743 |
|
701
|
744 |
ceiling
|
|
745 |
"return the integer nearest the receiver towards positive infinity."
|
1
|
746 |
|
701
|
747 |
|anInteger|
|
1
|
748 |
|
701
|
749 |
anInteger := self // 1. "truncates towards negative infinity"
|
|
750 |
anInteger = self ifTrue:[^ anInteger].
|
|
751 |
^ anInteger + 1
|
1
|
752 |
!
|
|
753 |
|
701
|
754 |
floor
|
|
755 |
"return the receiver truncated towards negative infinity"
|
1
|
756 |
|
701
|
757 |
^ self // 1
|
1
|
758 |
!
|
|
759 |
|
701
|
760 |
roundTo:aNumber
|
|
761 |
"return the receiver rounded to multiples of aNumber"
|
1
|
762 |
|
701
|
763 |
^ (self / aNumber) rounded * aNumber
|
|
764 |
!
|
|
765 |
|
|
766 |
rounded
|
|
767 |
"return the integer nearest the receiver"
|
|
768 |
|
1881
|
769 |
self negative ifTrue:[
|
|
770 |
^ (self - 0.5) ceiling
|
|
771 |
].
|
701
|
772 |
^ (self + 0.5) floor
|
1881
|
773 |
|
|
774 |
"Modified: 5.11.1996 / 11:31:59 / cg"
|
1
|
775 |
!
|
|
776 |
|
701
|
777 |
truncateTo:aNumber
|
|
778 |
"return the receiver truncated to multiples of aNumber"
|
1
|
779 |
|
701
|
780 |
^ ((self / aNumber) floor * aNumber) asInteger
|
1
|
781 |
!
|
|
782 |
|
701
|
783 |
truncated
|
|
784 |
"return the receiver truncated towards zero"
|
1
|
785 |
|
701
|
786 |
self negative ifTrue:[
|
|
787 |
^ self ceiling
|
|
788 |
].
|
|
789 |
^ self floor
|
|
790 |
! !
|
1
|
791 |
|
701
|
792 |
!ArithmeticValue class methodsFor:'documentation'!
|
|
793 |
|
|
794 |
version
|
3134
|
795 |
^ '$Header: /cvs/stx/stx/libbasic/ArithmeticValue.st,v 1.25 1997-12-19 08:35:37 stefan Exp $'
|
1
|
796 |
! !
|
701
|
797 |
ArithmeticValue initialize!
|