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"{ Package: 'exept:regression' }"
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"{ NameSpace: RegressionTests }"
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TestCase subclass:#ComplexTest
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instanceVariableNames:''
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classVariableNames:''
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poolDictionaries:''
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category:'tests-Regression'
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!
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!ComplexTest methodsFor:'tests'!
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308
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testAbs
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| c |
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c := (6 - 6 i).
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self assert: c abs = 72 sqrt.
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"
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self new testAbs
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self run: #testAbs
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self debug: #testAbs
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"
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!
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192
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308
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testAddition
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| c1 c2 c3 |
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self shouldnt: [ c1 := Complex real: 1 imaginary: 2 ] raise: Exception.
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self shouldnt: [ c2 := Complex real: 3 imaginary: 4 ] raise: Exception.
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self should: [ (c1 + c2) = (Complex real: 4 imaginary: 6) ].
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192
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308
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c3 := (5 - 6 i) + (-5 + 8 i). "Complex with Complex"
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self assert: (c3 = (0 + 2 i)).
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"
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self run: #testAddition
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self new testAddition
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"
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192
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!
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testCreation
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308
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| c |
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false ifTrue:[
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"cg: I dont think this has to be known outside complex"
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"i.e. should it really be allowed to create complex numbers with new ?"
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self should: [ (c := Complex new) realPart = 0 ].
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self should: [ c imaginaryPart = 0 ].
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].
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self should: [ (c := Complex real: 1 imaginary: 2) realPart = 1 ].
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self should: [ c imaginaryPart = 2 ].
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self should: [ (c := Complex real: -1 imaginary: 2) realPart = -1 ].
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self should: [ c imaginaryPart = 2 ].
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self should: [ (c := Complex real: 1 imaginary: -2) realPart = 1 ].
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self should: [ c imaginaryPart = -2 ].
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self should: [ (c := Complex real: -1 imaginary: -2) realPart = -1 ].
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self should: [ c imaginaryPart = -2 ].
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c := (1 % 2).
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self assert: (c real = 1).
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self assert: (c imaginary = 2).
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c := (-1 % 2).
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self assert: (c real = -1).
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self assert: (c imaginary = 2).
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c := (1 % -2).
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self assert: (c real = 1).
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self assert: (c imaginary = -2).
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c := (-1 % -2).
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self assert: (c real = -1).
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self assert: (c imaginary = -2).
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192
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308
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c := (1.0 % 2.0).
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self assert: (c real = 1.0).
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self assert: (c imaginary = 2.0).
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c := (-1.0 % 2.0).
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self assert: (c real = -1.0).
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self assert: (c imaginary = 2.0).
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c := (1.0 % -2.0).
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self assert: (c real = 1.0).
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self assert: (c imaginary = -2.0).
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c := (-1.0 % -2.0).
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self assert: (c real = -1.0).
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self assert: (c imaginary = -2.0).
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c := 5 i.
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self assert: (c real = 0).
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self assert: (c imaginary = 5).
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c := 6 + 7 i.
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self assert: (c real = 6).
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self assert: ( c imaginary = 7).
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c := 5.6 - 8 i.
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self assert: (c real = 5.6).
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self assert: (c imaginary = -8).
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c := Complex real: 10 imaginary: 5.
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self assert: (c real = 10).
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self assert: (c imaginary = 5).
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c := Complex abs: 5 arg: (Float pi/2).
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self assert: (c real rounded = 0).
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self assert: (c imaginary = 5).
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"
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self run: #testCreation
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self new testCreation
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"
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!
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testDivision
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| c1 c2 |
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self shouldnt: [ c1 := Complex real: 2 imaginary: 2 ] raise: Exception.
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self shouldnt: [ c2 := Complex real: 3 imaginary: 6 ] raise: Exception.
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self should: [ (c1 / c1) = (Complex real: 1 imaginary: 0) ].
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self should: [ (c1 / c2) = (Complex real: 2/5 imaginary: (-2/15)) ].
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self should: [ (c2 / c1) = (Complex real: 9/4 imaginary: 3/4) ].
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self should: [ c2 / 3 = (Complex real: 1 imaginary: 2) ].
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self should: [ c1 / 2 = (Complex real: 1 imaginary: 1) ].
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!
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testEquality
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308
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self should: [ 3 = (Complex real: 3 imaginary: 0) ].
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self should: [ (Complex real: 3 imaginary: 0) = 3 ].
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self should: [ 3.0 = (Complex real: 3 imaginary: 0) ].
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self should: [ (Complex real: 3 imaginary: 0) = 3.0 ].
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192
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308
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self shouldnt: [ 3 = (Complex real: 3 imaginary: 1) ].
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self shouldnt: [ (Complex real: 3 imaginary: 1) = 3 ].
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192
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308
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self shouldnt: [ 3.0 = (Complex real: 3 imaginary: 1) ].
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self shouldnt: [ (Complex real: 3 imaginary: 1) = 3.0 ].
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192
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308
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self should: [ 3 ~= (Complex real: 3 imaginary: 1) ].
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self should: [ (Complex real: 3 imaginary: 1) ~= 3 ].
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self should: [ 3.0 ~= (Complex real: 3 imaginary: 1) ].
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self should: [ (Complex real: 3 imaginary: 1) ~= 3.0 ].
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192
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308
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self assert: 0i = 0.
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self assert: (2 - 5i) = ((1 -4 i) + (1 - 1i)).
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self assert: 0i isZero.
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self deny: (1 + 3 i) = 1.
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self deny: (1 + 3 i) = (1 + 2i).
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192
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308
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"
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self run: #testEquality
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self new testEquality
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"
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192
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!
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testModulus
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| c1 c2 |
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"Test case where |a| < |b| in complex number (a + ib)."
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self shouldnt: [ c1 := Complex real: 2 imaginary: 3 ] raise: Exception.
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self should: [ c1 modulus = (3 * ((1 + ((2 / 3) * (2 / 3))) sqrt)) ].
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"Test case where |a| >= |b| in complex number (a + ib)."
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self shouldnt: [ c2 := Complex real: 4 imaginary: -2 ] raise: Exception.
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self should: [ c2 modulus = (4 * ((1 + ((-2 / 4) * (-2 / 4))) sqrt)) ].
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!
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testMultiplication
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| c1 c2 |
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self shouldnt: [ c1 := Complex real: 1 imaginary: 2 ] raise: Exception.
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self shouldnt: [ c2 := Complex real: 3 imaginary: 4 ] raise: Exception.
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self should: [ (c1 * c2) = (Complex real: -5 imaginary: 10) ].
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self should: [ (c1 * Complex zero) = Complex zero ].
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self should: [ c1 * 5 = (Complex real: 5 imaginary: 10) ].
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self should: [ c1 * 1.1 = (Complex real: 1.1 imaginary: 2.2) ].
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self should: [ c1 * (2/3) = (Complex real: 2/3 imaginary: 4/3) ].
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!
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308
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testNegated
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| c |
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c := (2 + 5 i) .
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self assert: c negated = (-2 - 5i).
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"
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self run: #testNegated
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self new testNegated
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"
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!
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192
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testRaisedTo
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256
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| c |
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192
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256
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self shouldnt: [ c := Complex real: 3 imaginary: 2 ] raise: Exception.
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self assert: ((c raisedTo: 2) = (c * c)).
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self assert: ((c raisedTo: 3) = (c * c * c)).
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self assert: ((c raisedTo: 4) = (c * c * c * c)).
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192
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!
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308
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testReciprocal
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| c |
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c := (2 + 5 i).
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self assert: c reciprocal = ((2/29) - (5/29)i).
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"
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self run: #testReciprocal
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self new testReciprocal
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"
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!
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testReciprocalError
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| c |
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c := (0 i).
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self should: [c reciprocal] raise: ZeroDivide
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"
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self run: #testReciprocalError
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self new testReciprocalError
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"
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!
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testSqrt
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| c w |
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self shouldnt: [ c := Complex real: 0 imaginary: 0 ] raise: Exception.
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self should: [ c sqrt = 0 ].
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self shouldnt: [ c := Complex real: 9 imaginary: 4 ] raise: Exception.
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"cg: that cannot be tested easily, due to rounding errors"
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"original" false ifTrue:[
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self should: [ w := 3 * (((1 + (1 + ((4/9) * (4/9))) sqrt) / 2) sqrt).
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c sqrt = (Complex real: w imaginary: 4 / (2 * w)) ].
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] ifFalse:[
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self should: [ |t1 t2 epsilon|
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w := 3 * (((1 + (1 + ((4/9) * (4/9))) sqrt) / 2) sqrt).
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t1 := c sqrt.
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t2 := (Complex real: w imaginary: 4 / (2 * w)).
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epsilon := 0.0000001.
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(t1 realPart - t2 realPart) < epsilon
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and:[ (t1 imaginaryPart - t2 imaginaryPart) < epsilon ]
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].
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].
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self shouldnt: [ c := Complex imaginary: -2 ] raise: Exception.
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"self should: [ c sqrt = (Complex real: 1 imaginary: -1) ]. Should be true, but rounding bites us..."
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self should: [ (c sqrt realPart - 1) abs < 1.0e-10 ].
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self should: [ (c sqrt imaginaryPart + 1) abs < 1.0e-10 ].
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!
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308
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testSquared
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| c c2 |
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c := (6 - 6 i).
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c2 := (c squared).
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self assert: c2 imaginary = -72.
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self assert: c2 real = 0.
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"
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self new testSquared
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self run: #testSquared
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self debug: #testSquared
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"
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!
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testSubtraction
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| c1 c2 |
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self shouldnt: [ c1 := Complex real: 1 imaginary: 2 ] raise: Exception.
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self shouldnt: [ c2 := Complex real: 3 imaginary: 4 ] raise: Exception.
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287 |
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self should: [ (c1 - c2) = (Complex real: -2 imaginary: -2) ].
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308
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!
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xxtestSecureDivision1
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| c1 c2 quotient |
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c1 := 2.0e252 + 3.0e70 i.
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c2 := c1.
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quotient := c1 divideSecureBy: c2.
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self assert: (quotient - 1) isZero.
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"
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self run: #testSecureDivision1
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self new testSecureDivision1
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"
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!
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xxtestSecureDivision2
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| c1 c2 quotient |
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c1 := 2.0e252 + 3.0e70 i.
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c2 := c1.
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quotient := c1 divideFastAndSecureBy: c2.
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self assert: (quotient - 1) isZero.
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"
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self run: #testSecureDivision2
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self new testSecureDivision2
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"
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! !
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!ComplexTest class methodsFor:'documentation'!
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version
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320 |
^ '$Header$'
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! !
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