17847
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"
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This is a Manchester Goodie. It is distributed freely on condition
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that you observe these conditions in respect of the whole Goodie, and on
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any significant part of it which is separately transmitted or stored:
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* You must ensure that every copy includes this notice, and that
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source and author(s) of the material are acknowledged.
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* These conditions must be imposed on anyone who receives a copy.
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* The material shall not be used for commercial gain without the prior
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written consent of the author(s).
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For more information about the Manchester Goodies Library (from which
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this file was distributed) send e-mail:
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To: goodies-lib@cs.man.ac.uk
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Subject: help
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This is an additional goody-class, which is NOT covered by the
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ST/X license. It has been packaged with the ST/X distribution to
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make your live easier instead. NO WARRANTY.
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"
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"{ Package: 'stx:libbasic' }"
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ArithmeticValue subclass:#Complex
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instanceVariableNames:'real imaginary'
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classVariableNames:'ComplexOne ComplexZero'
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poolDictionaries:''
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category:'Magnitude-Numbers'
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!
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!Complex class methodsFor:'documentation'!
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copyright
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"
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This is a Manchester Goodie. It is distributed freely on condition
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34 |
that you observe these conditions in respect of the whole Goodie, and on
|
|
35 |
any significant part of it which is separately transmitted or stored:
|
|
36 |
* You must ensure that every copy includes this notice, and that
|
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37 |
source and author(s) of the material are acknowledged.
|
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38 |
* These conditions must be imposed on anyone who receives a copy.
|
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39 |
* The material shall not be used for commercial gain without the prior
|
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40 |
written consent of the author(s).
|
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41 |
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42 |
For more information about the Manchester Goodies Library (from which
|
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43 |
this file was distributed) send e-mail:
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To: goodies-lib@cs.man.ac.uk
|
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45 |
Subject: help
|
|
46 |
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This is an additional goody-class, which is NOT covered by the
|
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48 |
ST/X license. It has been packaged with the ST/X distribution to
|
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make your live easier instead. NO WARRANTY.
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"
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!
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documentation
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"
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This class implements complex numbers.
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A complex number has real and imaginary parts which must be manipulated simultaneously
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in any numeric processing.
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Complex numbers can be used in many of the same places that regular numbers
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can be used with one major exception of comparisons, since complex numbers cannot
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be directly compared for size
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(except through lengths of vectors (see absolute value)).
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[Instance variables:]
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real <Number> the part of the number which can be expressed as a Real number
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imaginary <Number> the part of the number which, in terms of how the number behaves,
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has been multiplied by 'i' (-1 sqrt)
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[Author:]
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Kurt Hebel (hebel@uinova.cerl.uiuc.edu)
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minor changes and double dispatching code by cg.
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"
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!
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examples
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"
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(5 % 7) real
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(5 % 7) imaginary
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(5 % 7) = 5
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(5 % 0) = 5
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(5.0 % 0) = 5
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(1 % 0) + (2 % 0)
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(1 % 0) + (0 % 2)
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(1 % 0) + (2 % 3)
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(1 % 0) * (2 % 0)
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(1 % 0) * (0 % 2)
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(1 % 0) * (2 % 3)
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(1 % 2) + 2
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(1 % 2) * 2
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2 + (1 % 2)
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2 * (1 % 2)
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"
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! !
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!Complex class methodsFor:'instance creation'!
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abs:aNumber1 arg:aNumber2
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|real imaginary|
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real := aNumber1 * aNumber2 cos.
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imaginary := aNumber1 * aNumber2 sin.
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^ real + imaginary i
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!
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fromReal: aNumber
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"Create a new complex number from the given real number."
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^ self basicNew setReal: aNumber setImaginary: 0
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!
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imaginary: v
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"Create a new complex number with 0 as real and given imaginary parts.
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If the imaginary part is zero, return the real part of the number."
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v = 0 ifTrue: [^ 0].
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^ self basicNew setReal: 0 setImaginary: v
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!
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real: aNumber
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"Create a new complex number from the given real number."
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^ self basicNew setReal: aNumber setImaginary: 0
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!
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real: u imaginary: v
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"Create a new complex number with the given real and imaginary parts. If the
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imaginary part is zero, return the real part of the number."
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v = 0 ifTrue: [^ u].
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^ self basicNew setReal: u setImaginary: v
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! !
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!Complex class methodsFor:'constants access'!
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unity
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"Answer the value which allows, for any given arithmetic value, the following to be true:
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aNumber * aNumber class unity = aNumber
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This must be true regardless of how a given subclass chooses to define #*"
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ComplexOne isNil ifTrue:[
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ComplexOne := self fromReal: 1
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].
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^ ComplexOne
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!
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zero
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"Answer the value which allows, for any given arithmetic value, the following to be true:
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aNumber + aNumber class zero = aNumber
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This must be true regardless of how a given subclass chooses to define #+"
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ComplexZero isNil ifTrue:[
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ComplexZero := self fromReal: 0
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].
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^ ComplexZero
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! !
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!Complex class methodsFor:'exception handling'!
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trapImaginary:aBlock
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"evaluate aBlock; if any DomainError occurs inside, with respect to square roots,
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convert the root to a complex root and proceed.
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This allows for regular (failing) code to transparently convert to complex."
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|send|
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^ ImaginaryResultError handle: [:ex |
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|selector|
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send := ex parameter.
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selector := send selector.
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(selector = #sqrt or: [selector = #sqrtTruncated]) ifTrue: [
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send receiver: send receiver asComplex.
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ex proceedWith: send value
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] ifFalse: [
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ex reject
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]
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] do: aBlock
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"
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Complex trapImaginary: [-2 sqrt]
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"
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"failing code:
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|a|
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a := -2.
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(a sqrt + 5) * 17.
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"
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"complex code:
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|a|
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Complex trapImaginary:[
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a := -2.
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(a sqrt + 5) * 2.
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]
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"
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! !
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!Complex methodsFor:'accessing'!
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imaginary
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"Return the imaginary part of the complex number."
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^ imaginary
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!
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imaginaryPart
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"Return the imaginary part of the complex number.
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An alias for imaginary (for compatibility with other complex implementations)"
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^ imaginary
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!
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real
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"Return the real part of the complex number."
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^ real
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!
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realPart
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"Return the real part of the complex number.
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An alias for real (for compatibility with other complex implementations)"
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^ real
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! !
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!Complex methodsFor:'arithmetic'!
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* aNumber
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"Return the product of the receiver and the argument."
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"/ | u v r i |
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"/
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"/ aNumber isComplex ifTrue:[
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"/ u := aNumber real.
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"/ v := aNumber imaginary.
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"/ r := (real * u) - (imaginary * v).
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"/ i := (real * v) + (imaginary * u).
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"/ i = 0 ifTrue:[ ^ r ].
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"/ ^ Complex real:r imaginary:i
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"/ ].
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^ aNumber productFromComplex:self.
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"Modified: / 8.7.1998 / 12:12:37 / cg"
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!
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+ aNumber
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"Return the sum of the receiver and the argument."
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"/ | r i |
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"/
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"/ aNumber isComplex ifTrue: [
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"/ r := aNumber real + real.
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"/ i := aNumber imaginary + imaginary.
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"/ i = 0 ifTrue:[ ^ r ].
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"/ ^ Complex real:r imaginary:i
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"/ ].
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^ aNumber sumFromComplex:self.
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"Modified: / 8.7.1998 / 12:15:42 / cg"
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!
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- aNumber
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"Return the difference of the receiver and the argument."
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"/ | r i |
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"/
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"/ aNumber isComplex ifTrue: [
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"/ r := real - aNumber real.
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"/ i := imaginary - aNumber imaginary.
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"/ i = 0 ifTrue:[ ^ r ].
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"/ ^ Complex real:r imaginary:i.
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"/ ].
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^ aNumber differenceFromComplex:self.
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"Modified: / 8.7.1998 / 12:15:38 / cg"
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!
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/ aNumber
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"Return the quotient of the receiver and the argument."
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"/ | denom u v r i |
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"/
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"/ aNumber isComplex ifTrue:[
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"/ u := aNumber real.
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"/ v := aNumber imaginary.
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"/ denom := u * u + (v * v).
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"/ r := u * real + (v * imaginary) / denom.
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"/ i := u * imaginary - (v * real) / denom.
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"/ i = 0 ifTrue:[ ^ r ].
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"/ ^ Complex real:r imaginary:i
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"/ ].
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^ aNumber quotientFromComplex:self.
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"Modified: / 8.7.1998 / 12:15:34 / cg"
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!
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abs
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"Return the magnitude (or absolute value) of the complex number
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(thats the distance from the origin in the complex plane)."
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^ (real * real + (imaginary * imaginary)) sqrt
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"
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(1 % 1) abs
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"
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!
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311 |
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conjugated
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"Return the complex conjugate of this complex number
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(i.e. with imaginary part negated)."
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^ Complex
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real: real
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imaginary: imaginary negated
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!
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modulus
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| absReal absImag multiplicand quotient |
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323 |
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absReal := real abs.
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absImag := imaginary abs.
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326 |
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absReal >= absImag ifTrue: [
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multiplicand := absReal.
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quotient := imaginary / real
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] ifFalse: [
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multiplicand := absImag.
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quotient := real / imaginary
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].
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^ multiplicand * ((1 + (quotient * quotient)) sqrt)
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!
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negated
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"return a new complex with both real and imaginary parts negated"
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^ Complex
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real: real negated
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imaginary: imaginary negated
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! !
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344 |
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!Complex methodsFor:'coercing'!
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coerce: aNumber
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^ aNumber asComplex
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!
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350 |
|
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351 |
generality
|
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352 |
^ 150
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! !
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354 |
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!Complex methodsFor:'comparing'!
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356 |
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< aNumber
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"raises an error - complex numbers are not well ordered"
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359 |
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^ Number
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raise: #unorderedSignal
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362 |
receiver: self
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363 |
selector: #<
|
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364 |
arg: aNumber
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365 |
errorString: 'Complex numbers are not well ordered'
|
|
366 |
|
|
367 |
"
|
|
368 |
1 < (2 % 2)
|
|
369 |
(2 % 2) < 1
|
|
370 |
"
|
|
371 |
!
|
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372 |
|
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373 |
= aNumber
|
|
374 |
"return true, if the argument represents the same numeric value
|
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375 |
as the receiver, false otherwise."
|
|
376 |
|
|
377 |
^ aNumber equalFromComplex:self
|
|
378 |
!
|
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379 |
|
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380 |
hash
|
|
381 |
"Hash is implemented because equals is implemented."
|
|
382 |
|
|
383 |
^ (real hash) bitXor:(imaginary hash bitShift:16)
|
|
384 |
|
|
385 |
"
|
|
386 |
(1+0i) hash
|
|
387 |
(1+1i) hash
|
|
388 |
"
|
|
389 |
! !
|
|
390 |
|
|
391 |
!Complex methodsFor:'converting'!
|
|
392 |
|
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393 |
asComplex
|
|
394 |
"I am a complex - so return the receiver"
|
|
395 |
|
|
396 |
^ self
|
|
397 |
!
|
|
398 |
|
|
399 |
asFloat
|
|
400 |
imaginary = 0 ifTrue: [^ real asFloat].
|
|
401 |
^ Number
|
|
402 |
raise: #coercionErrorSignal
|
|
403 |
receiver: self
|
|
404 |
selector: #asFloat
|
|
405 |
errorString: 'Can''t coerce an instance of Complex to a Float'
|
|
406 |
!
|
|
407 |
|
|
408 |
asInteger
|
|
409 |
imaginary = 0 ifTrue: [^real asInteger].
|
|
410 |
^ Number
|
|
411 |
raise: #coercionErrorSignal
|
|
412 |
receiver: self
|
|
413 |
selector: #asInteger
|
|
414 |
errorString: 'Can''t coerce an instance of Complex to an Integer'
|
|
415 |
!
|
|
416 |
|
|
417 |
asPoint
|
|
418 |
"Return the complex number as a point."
|
|
419 |
|
|
420 |
^ real @ imaginary
|
|
421 |
!
|
|
422 |
|
|
423 |
reduceGeneralityIfPossible
|
|
424 |
"Answer the receiver transformed to a lower generality, if such a
|
|
425 |
transformation is possible without losing information.
|
|
426 |
If not, answer the receiver"
|
|
427 |
|
|
428 |
imaginary isZero
|
|
429 |
ifTrue: [^ real]
|
|
430 |
ifFalse: [^ self]
|
|
431 |
! !
|
|
432 |
|
|
433 |
!Complex methodsFor:'double dispatching'!
|
|
434 |
|
|
435 |
differenceFromComplex:aComplex
|
|
436 |
"Return the difference of the argument, aComplex and the receiver."
|
|
437 |
|
|
438 |
| r i |
|
|
439 |
|
|
440 |
r := aComplex real - real.
|
|
441 |
i := aComplex imaginary - imaginary.
|
|
442 |
i = 0 ifTrue:[ ^ r ].
|
|
443 |
^ Complex real:r imaginary:i.
|
|
444 |
!
|
|
445 |
|
|
446 |
differenceFromFloat:aFloat
|
|
447 |
"Return the difference of the argument, aFloat and the receiver."
|
|
448 |
|
|
449 |
"/ ^ aFloat asComplex - self
|
|
450 |
|
|
451 |
| r |
|
|
452 |
|
|
453 |
r := aFloat - real.
|
|
454 |
imaginary = 0 ifTrue:[ ^ r ].
|
|
455 |
^ Complex real:r imaginary:imaginary negated
|
|
456 |
|
|
457 |
"
|
|
458 |
(1 % 1) - 1.0
|
|
459 |
1.0 - (1 % 1)
|
|
460 |
"
|
|
461 |
!
|
|
462 |
|
|
463 |
differenceFromFraction: aFraction
|
|
464 |
^ aFraction asComplex - self
|
|
465 |
!
|
|
466 |
|
|
467 |
differenceFromInteger: anInteger
|
|
468 |
^ anInteger asComplex - self
|
|
469 |
!
|
|
470 |
|
|
471 |
equalFromComplex:aComplex
|
|
472 |
^ (aComplex real = real) and:[aComplex imaginary = imaginary]
|
|
473 |
!
|
|
474 |
|
|
475 |
equalFromFloat:aFloat
|
|
476 |
imaginary = 0 ifFalse:[^ false].
|
|
477 |
^ real = aFloat
|
|
478 |
!
|
|
479 |
|
|
480 |
productFromComplex:aComplex
|
|
481 |
"Return the product of the receiver and the argument, aComplex."
|
|
482 |
|
|
483 |
| u v r i |
|
|
484 |
|
|
485 |
u := aComplex real.
|
|
486 |
v := aComplex imaginary.
|
|
487 |
r := (real * u) - (imaginary * v).
|
|
488 |
i := (real * v) + (imaginary * u).
|
|
489 |
i = 0 ifTrue:[ ^ r ].
|
|
490 |
^ Complex real:r imaginary:i
|
|
491 |
!
|
|
492 |
|
|
493 |
productFromFloat: aFloat
|
|
494 |
"Return the product of the receiver and the argument, aFloat."
|
|
495 |
|
|
496 |
"/ ^ aFloat asComplex * self
|
|
497 |
|
|
498 |
| u r i |
|
|
499 |
|
|
500 |
u := aFloat.
|
|
501 |
r := (real * aFloat).
|
|
502 |
i := (imaginary * aFloat).
|
|
503 |
i = 0 ifTrue:[ ^ r ].
|
|
504 |
^ Complex real:r imaginary:i
|
|
505 |
|
|
506 |
"
|
|
507 |
(1 % 1) * 2.0
|
|
508 |
(1 % 1) * 0.0
|
|
509 |
2.0 * (1 % 1)
|
|
510 |
"
|
|
511 |
!
|
|
512 |
|
|
513 |
productFromFraction: aFraction
|
|
514 |
^ aFraction asComplex * self
|
|
515 |
!
|
|
516 |
|
|
517 |
productFromInteger: anInteger
|
|
518 |
^ anInteger asComplex * self
|
|
519 |
!
|
|
520 |
|
|
521 |
quotientFromComplex:aComplex
|
|
522 |
"Return the quotient of the argument, aComplex and the receiver."
|
|
523 |
|
|
524 |
| denom nr ni r i |
|
|
525 |
|
|
526 |
nr := aComplex real.
|
|
527 |
ni := aComplex imaginary.
|
|
528 |
denom := real * real + (imaginary * imaginary).
|
|
529 |
r := real * nr + (imaginary * ni) / denom.
|
|
530 |
i := real * ni - (imaginary * nr) / denom.
|
|
531 |
i = 0 ifTrue:[ ^ r ].
|
|
532 |
^ Complex real:r imaginary:i
|
|
533 |
|
|
534 |
"/ is the stuff below better ?
|
|
535 |
"/ "Implement complex division (a + ib) / (c + id).
|
|
536 |
"/ Due to double dispatch, in this routine
|
|
537 |
"/ self = (c + id) and aComplex = (a + ib)."
|
|
538 |
"/
|
|
539 |
"/ | quotient denominator |
|
|
540 |
"/
|
|
541 |
"/ self realPart abs >= (self imaginaryPart abs)
|
|
542 |
"/ ifTrue: [
|
|
543 |
"/ quotient := self imaginaryPart / self realPart.
|
|
544 |
"/ denominator := self realPart + (self imaginaryPart * quotient).
|
|
545 |
"/ ^ Complex
|
|
546 |
"/ real: (aComplex realPart + (aComplex imaginaryPart * quotient)) / denominator
|
|
547 |
"/ imaginary: (aComplex imaginaryPart - (aComplex realPart * quotient)) / denominator ]
|
|
548 |
"/ ifFalse: [
|
|
549 |
"/ quotient := self realPart / self imaginaryPart.
|
|
550 |
"/ denominator := (self realPart * quotient) + self imaginaryPart.
|
|
551 |
"/ ^ Complex
|
|
552 |
"/ real: ((aComplex realPart * quotient) + aComplex imaginaryPart) / denominator
|
|
553 |
"/ imaginary: ((aComplex imaginaryPart * quotient) - aComplex realPart) / denominator ]
|
|
554 |
!
|
|
555 |
|
|
556 |
quotientFromFloat:aFloat
|
|
557 |
"Return the quotient of the argument, aFloat and the receiver."
|
|
558 |
|
|
559 |
^ aFloat asComplex / self
|
|
560 |
!
|
|
561 |
|
|
562 |
quotientFromFraction:aFraction
|
|
563 |
"Return the quotient of the argument, aFraction and the receiver."
|
|
564 |
|
|
565 |
^ aFraction asComplex / self
|
|
566 |
!
|
|
567 |
|
|
568 |
quotientFromInteger:anInteger
|
|
569 |
"Return the quotient of the argument, anInteger and the receiver."
|
|
570 |
|
|
571 |
^ anInteger asComplex / self
|
|
572 |
!
|
|
573 |
|
|
574 |
sumFromComplex:aComplex
|
|
575 |
"Return the sum of the receiver and the argument, aComplex."
|
|
576 |
|
|
577 |
| r i |
|
|
578 |
|
|
579 |
r := aComplex real + real.
|
|
580 |
i := aComplex imaginary + imaginary.
|
|
581 |
i = 0 ifTrue:[ ^ r ].
|
|
582 |
^ Complex real:r imaginary:i
|
|
583 |
!
|
|
584 |
|
|
585 |
sumFromFloat: aFloat
|
|
586 |
"Return the sum of the receiver and the argument, aFloat."
|
|
587 |
|
|
588 |
"/ ^ aFloat asComplex + self
|
|
589 |
|
|
590 |
| r |
|
|
591 |
|
|
592 |
r := aFloat + real.
|
|
593 |
imaginary = 0 ifTrue:[ ^ r ].
|
|
594 |
^ Complex real:r imaginary:imaginary
|
|
595 |
|
|
596 |
"
|
|
597 |
(1 % 1) + 1.0
|
|
598 |
1.0 + (1 % 1)
|
|
599 |
"
|
|
600 |
!
|
|
601 |
|
|
602 |
sumFromFraction: aFraction
|
|
603 |
^ aFraction asComplex + self
|
|
604 |
!
|
|
605 |
|
|
606 |
sumFromInteger: anInteger
|
|
607 |
^ anInteger asComplex + self
|
|
608 |
! !
|
|
609 |
|
|
610 |
!Complex methodsFor:'mathematical functions'!
|
|
611 |
|
|
612 |
angle
|
|
613 |
"Return the radian angle for this Complex number."
|
|
614 |
|
|
615 |
real < 0 ifTrue: [
|
|
616 |
imaginary < 0 ifTrue: [
|
|
617 |
^ (imaginary / real) arcTan - Float pi
|
|
618 |
].
|
|
619 |
^ Float pi + (imaginary / real) arcTan
|
|
620 |
].
|
|
621 |
^ (imaginary / real) arcTan
|
|
622 |
|
|
623 |
"
|
|
624 |
(1 % 1) angle radiansToDegrees
|
|
625 |
"
|
|
626 |
!
|
|
627 |
|
|
628 |
exp
|
|
629 |
"Return the complex exponential of the receiver."
|
|
630 |
|
|
631 |
^ (imaginary cos % imaginary sin) * real exp
|
|
632 |
!
|
|
633 |
|
|
634 |
sqrt
|
|
635 |
"Return the square root of the receiver"
|
|
636 |
|
|
637 |
| w quotient absReal absImag |
|
|
638 |
|
|
639 |
((real = 0) and: [ imaginary = 0 ]) ifTrue: [
|
|
640 |
^ Complex zero
|
|
641 |
].
|
|
642 |
absReal := real abs.
|
|
643 |
absImag := imaginary abs.
|
|
644 |
|
|
645 |
absReal >= absImag ifTrue:[
|
|
646 |
quotient := imaginary / real.
|
|
647 |
w := (absReal sqrt) * (((1 + (1 + (quotient * quotient)) sqrt) / 2) sqrt)
|
|
648 |
] ifFalse: [
|
|
649 |
quotient := real / imaginary.
|
|
650 |
w := (absImag sqrt) * (((quotient abs + (1 + (quotient * quotient)) sqrt) / 2) sqrt)
|
|
651 |
].
|
|
652 |
|
|
653 |
real >= 0 ifTrue:[
|
|
654 |
^ Complex real: w imaginary: (imaginary / (2 * w))
|
|
655 |
].
|
|
656 |
imaginary >= 0 ifTrue: [
|
|
657 |
^ Complex real: absImag / (2 * w) imaginary: w
|
|
658 |
].
|
|
659 |
^ Complex real: absImag / (2 * w) imaginary: -1 * w
|
|
660 |
!
|
|
661 |
|
|
662 |
sqrt_bad
|
|
663 |
"Return the square root of the receiver"
|
|
664 |
|
|
665 |
| u v |
|
|
666 |
|
|
667 |
(imaginary = 0 and: [real >= 0]) ifTrue: [^ real sqrt].
|
|
668 |
v := (self abs - real / 2) sqrt.
|
|
669 |
u := imaginary / 2 / v.
|
|
670 |
^ Complex real: u imaginary: v
|
|
671 |
|
|
672 |
"
|
|
673 |
-4 asComplex sqrt
|
|
674 |
4 asComplex sqrt
|
|
675 |
"
|
|
676 |
"
|
|
677 |
-4 asComplex sqrt squared
|
|
678 |
"
|
|
679 |
! !
|
|
680 |
|
|
681 |
!Complex methodsFor:'printing'!
|
|
682 |
|
|
683 |
displayOn: aStream
|
|
684 |
aStream nextPut: $(.
|
|
685 |
self realPart printOn: aStream.
|
|
686 |
self imaginaryPart >= 0
|
|
687 |
ifTrue: [ aStream nextPut: $+ ]
|
|
688 |
ifFalse: [ aStream nextPut: $- ].
|
|
689 |
self imaginaryPart abs printOn: aStream.
|
|
690 |
aStream nextPutAll: 'i)'
|
|
691 |
|
|
692 |
"
|
|
693 |
Complex real:1 imaginary:1
|
|
694 |
"
|
|
695 |
!
|
|
696 |
|
|
697 |
printOn: aStream
|
|
698 |
aStream nextPut: $(.
|
|
699 |
real storeOn: aStream.
|
|
700 |
aStream nextPutAll: '%'.
|
|
701 |
imaginary storeOn: aStream.
|
|
702 |
aStream nextPut: $).
|
|
703 |
!
|
|
704 |
|
|
705 |
printString
|
|
706 |
^ '(' , real printString, '%', imaginary printString, ')'
|
|
707 |
!
|
|
708 |
|
|
709 |
storeOn: aStream
|
|
710 |
self printOn:aStream
|
|
711 |
! !
|
|
712 |
|
|
713 |
!Complex methodsFor:'private'!
|
|
714 |
|
|
715 |
setReal: u setImaginary: v
|
|
716 |
real := u.
|
|
717 |
imaginary := v.
|
|
718 |
! !
|
|
719 |
|
|
720 |
!Complex methodsFor:'testing'!
|
|
721 |
|
|
722 |
isComplex
|
|
723 |
"Answer whether the receiver has an imaginary part
|
|
724 |
(i.e. if it is a complex number). Always true here."
|
|
725 |
|
|
726 |
^ true
|
|
727 |
!
|
|
728 |
|
|
729 |
isReal
|
|
730 |
"Return true if this Complex number has a zero imaginary part."
|
|
731 |
|
|
732 |
^ imaginary = 0
|
|
733 |
!
|
|
734 |
|
|
735 |
isZero
|
|
736 |
"Answer whether 'self = self class zero'.
|
|
737 |
We can't use #= because #= is defined in terms of #isZero"
|
|
738 |
|
|
739 |
^real isZero and: [imaginary isZero]
|
|
740 |
!
|
|
741 |
|
|
742 |
sign
|
|
743 |
"return a new complex, consisting of the signs of the real and imaginary parts.
|
|
744 |
Q: is this a good thing to do ?"
|
|
745 |
|
|
746 |
^ Complex real: real sign imaginary: imaginary sign
|
|
747 |
! !
|
|
748 |
|
|
749 |
!Complex methodsFor:'truncation & rounding'!
|
|
750 |
|
|
751 |
ceiling
|
|
752 |
"blocked: complex numbers have no ceiling"
|
|
753 |
|
|
754 |
^ self shouldNotImplement
|
|
755 |
!
|
|
756 |
|
|
757 |
floor
|
|
758 |
"blocked: complex numbers have no floor"
|
|
759 |
|
|
760 |
^ self shouldNotImplement
|
|
761 |
! !
|
|
762 |
|
|
763 |
!Complex class methodsFor:'documentation'!
|
|
764 |
|
|
765 |
version
|
17892
|
766 |
^ '$Header: /cvs/stx/stx/libbasic/Complex.st,v 1.14 2011/08/04 20:46:43 cg Exp $'
|
17865
|
767 |
!
|
|
768 |
|
|
769 |
version_SVN
|
17910
|
770 |
^ '$Id: Complex.st 10758 2012-01-19 10:06:02Z vranyj1 $'
|
17865
|
771 |
! !
|
17892
|
772 |
|
17910
|
773 |
|