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"{ Package: 'stx:goodies/regression' }"
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204
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"{ NameSpace: RegressionTests }"
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TestCase subclass:#LargeFloatTest
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instanceVariableNames:''
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classVariableNames:''
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poolDictionaries:''
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1070
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category:'tests-Regression-Numbers'
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204
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!
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!LargeFloatTest methodsFor:'helpers'!
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actualPrecisionOf:aFloatClass
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"get the actual number of valid bits in the mantissa.
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This does a real test (i.e. does not believe the compiled-in ifdefs)"
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|one half x count|
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one := aFloatClass unity. "/ 1.0 in this class
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"/ largefloats have infinite precition (potentially)
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one precision isFinite ifFalse:[^ Infinity positive].
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half := one coerce:0.5.
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x := one.
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count := 0.
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[ one + x ~= one] whileTrue:[
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x := x * half.
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count := count + 1.
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].
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^ count
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"
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self basicNew actualPrecisionOf:ShortFloat
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self basicNew actualPrecisionOf:Float
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self basicNew actualPrecisionOf:LongFloat
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"
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"Modified: / 10-10-2017 / 12:50:21 / cg"
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! !
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!LargeFloatTest methodsFor:'tests'!
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test01_Nan
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"NaN in all avaliable formats."
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|shouldBeNaN|
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shouldBeNaN := 0.0 asLargeFloat uncheckedDivide: 0.0.
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self assert:( shouldBeNaN isMemberOf:LargeFloat ).
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self assert:( shouldBeNaN isNaN ).
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self assert:( shouldBeNaN isFinite not ).
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shouldBeNaN := 0.0 asLargeFloat uncheckedDivide: 0.0.
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self assert:( shouldBeNaN asShortFloat isNaN ).
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self assert:( shouldBeNaN asLongFloat isNaN ).
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self should:[ shouldBeNaN asInteger ] raise:DomainError.
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self assert:( shouldBeNaN + 1 ) isNaN.
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self assert:( shouldBeNaN + 1.0 ) isNaN.
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self assert:( shouldBeNaN + 1.0 asShortFloat ) isNaN.
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self assert:( shouldBeNaN + 1.0 asLongFloat ) isNaN.
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self assert:( shouldBeNaN + 1.0 asLargeFloat ) isNaN.
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self assert:( 1 + shouldBeNaN ) isNaN.
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self assert:( 1.0 + shouldBeNaN ) isNaN.
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self assert:( 1.0 asShortFloat + shouldBeNaN ) isNaN.
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self assert:( 1.0 asLongFloat + shouldBeNaN ) isNaN.
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self assert:( 1.0 asLargeFloat + shouldBeNaN ) isNaN.
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self assert:( shouldBeNaN - 1 ) isNaN.
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self assert:( shouldBeNaN - 1.0 ) isNaN.
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self assert:( shouldBeNaN - 1.0 asShortFloat ) isNaN.
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self assert:( shouldBeNaN - 1.0 asLongFloat ) isNaN.
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self assert:( shouldBeNaN - 1.0 asLargeFloat ) isNaN.
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self assert:( 1 - shouldBeNaN ) isNaN.
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self assert:( 1.0 - shouldBeNaN ) isNaN.
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self assert:( 1.0 asShortFloat - shouldBeNaN ) isNaN.
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self assert:( 1.0 asLongFloat - shouldBeNaN ) isNaN.
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self assert:( 1.0 asLargeFloat - shouldBeNaN ) isNaN.
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"
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self basicNew test01_Nan
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"
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!
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test02_Inf
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"Infinity in all avaliable formats."
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|check posInf negInf|
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check :=
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[:v1 :v2 |
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posInf := v1 uncheckedDivide: v2.
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self assert:( posInf isMemberOf:v1 class ).
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self assert:( posInf isNaN not ).
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self assert:( posInf isFinite not ).
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self assert:( posInf isInfinite ).
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self assert:( posInf positive ).
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self assert:( posInf negative not ).
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self assert:( posInf isNegativeInfinity not).
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self assert:( posInf isPositiveInfinity ).
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negInf := v1 negated uncheckedDivide: v2.
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self assert:( negInf isMemberOf:v1 class ).
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self assert:( negInf isNaN not ).
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self assert:( negInf isFinite not ).
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self assert:( negInf isInfinite ).
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self assert:( negInf positive not).
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self assert:( negInf negative ).
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self assert:( negInf isNegativeInfinity ).
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self assert:( negInf isPositiveInfinity not ).
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self assert:( negInf + negInf = negInf).
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self assert:( posInf + posInf = posInf).
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self assert:( negInf + posInf) isNaN.
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self assert:( posInf + negInf) isNaN.
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self assert:( negInf - posInf = negInf).
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self assert:( negInf - negInf) isNaN.
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self assert:( posInf - negInf = posInf).
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self assert:( posInf - posInf) isNaN.
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self assert:( posInf + v1) = posInf.
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self assert:( posInf - v1) = posInf.
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self assert:( negInf + v1) = negInf.
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self assert:( negInf - v1) = negInf.
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].
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check value: 1.0 asLargeFloat value: 0.0 asLargeFloat.
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"
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self basicNew test02_Inf
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"
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!
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test03_Conversion
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self assert:( 1.0 asLargeFloat asTrueFraction == 1 ).
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self assert:( 2.0 asLargeFloat asTrueFraction == 2 ).
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self assert:( 4.0 asLargeFloat asTrueFraction == 4 ).
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self assert:( 8.0 asLargeFloat asTrueFraction == 8 ).
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self assert:( 16.0 asLargeFloat asTrueFraction == 16 ).
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self assert:( 1048576.0 asLargeFloat asTrueFraction == 1048576 ).
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self assert:( 0.5 asLargeFloat asTrueFraction = (1/2) ).
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self assert:( 0.25 asLargeFloat asTrueFraction = (1/4) ).
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self assert:( 0.125 asLargeFloat asTrueFraction = (1/8) ).
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"
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self basicNew test03_Conversion
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"
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!
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test04_Arithmetic
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self assert:( 1.0 asLargeFloat + 1.0 ) class == LargeFloat.
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self assert:( 1.0 asLargeFloat + 1.0 asShortFloat ) class == LargeFloat.
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self assert:( 1.0 asLargeFloat + 1.0 asFloat ) class == LargeFloat.
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self assert:( 1.0 asLargeFloat + 1 ) class == LargeFloat.
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self assert:( 1.0 asLargeFloat - 1.0 ) class == LargeFloat.
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self assert:( 1.0 asLargeFloat - 1.0 asShortFloat ) class == LargeFloat.
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self assert:( 1.0 asLargeFloat - 1.0 asFloat ) class == LargeFloat.
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self assert:( 1.0 asLargeFloat - 1 ) class == LargeFloat.
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self assert:( 1.0 asLargeFloat * 1.0 ) class == LargeFloat.
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self assert:( 1.0 asLargeFloat * 1.0 asShortFloat ) class == LargeFloat.
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self assert:( 1.0 asLargeFloat * 1.0 asFloat ) class == LargeFloat.
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self assert:( 1.0 asLargeFloat * 1 ) class == LargeFloat.
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self assert:( 1.0 asLargeFloat / 1.0 ) class == LargeFloat.
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self assert:( 1.0 asLargeFloat / 1.0 asShortFloat ) class == LargeFloat.
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self assert:( 1.0 asLargeFloat / 1.0 asFloat ) class == LargeFloat.
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self assert:( 1.0 asLargeFloat / 1 ) class == LargeFloat.
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self assert:( 1.0 asLargeFloat + 1.0 asLargeFloat) = 2.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat + 0.0 asLargeFloat) = 1.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat + 2.0 asLargeFloat) = 3.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat + 3.0 asLargeFloat) = 4.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat + 1.0 asLargeFloat negated) = 0.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat + 2.0 asLargeFloat negated) = -1.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat + -1.0 asLargeFloat negated) = 2.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat - 1.0 asLargeFloat) = 0.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat - 0.0 asLargeFloat) = 1.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat - 2.0 asLargeFloat) = -1.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat - 3.0 asLargeFloat) = -2.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat - 1.0 asLargeFloat negated) = 2.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat - 2.0 asLargeFloat negated) = 3.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat - -1.0 asLargeFloat negated) = 0.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat * 1.0 asLargeFloat) = 1.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat * 0.0 asLargeFloat) = 0.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat * 2.0 asLargeFloat) = 2.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat * 3.0 asLargeFloat) = 3.0 asLargeFloat.
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self assert:( 2.0 asLargeFloat * 3.0 asLargeFloat) = 6.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat * 1.0 asLargeFloat negated) = -1.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat * 2.0 asLargeFloat negated) = -2.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat * -1.0 asLargeFloat negated) = 1.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat / 1.0 asLargeFloat) = 1.0 asLargeFloat.
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self assert:( 1.0 asLargeFloat / 2.0 asLargeFloat) = 0.5 asLargeFloat.
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self assert:( 3.0 asLargeFloat / 2.0 asLargeFloat) = (3/2) asLargeFloat.
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"
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self basicNew test04_Arithmetic
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"
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!
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test05_Comparing
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self assert:( 2.0 asLargeFloat = 2 ).
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self assert:( 2.0 asLargeFloat = 2.0 asShortFloat ).
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self assert:( 2.0 asLargeFloat = 2.0 ).
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self assert:( 2.0 asLargeFloat = 2.0 asLongFloat ).
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self assert:( 2.0 asLargeFloat = 2.0 asLargeFloat ).
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self assert:( 2.0 asLargeFloat = 3 ) not.
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self assert:( 2.0 asLargeFloat = 3.0 asShortFloat ) not.
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self assert:( 2.0 asLargeFloat = 3.0 ) not.
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self assert:( 2.0 asLargeFloat = 3.0 asLongFloat ) not.
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self assert:( 2.0 asLargeFloat = 3.0 asLargeFloat ) not.
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self assert:( 2.0 asLargeFloat < 3 ).
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self assert:( 2.0 asLargeFloat < 3.0 asShortFloat ).
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self assert:( 2.0 asLargeFloat < 3.0 asLargeFloat ).
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self assert:( 200000000000000000000.0 asLargeFloat < 200000000000100000000 ).
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self assert:( 200000000000000000000 < 200001000000000000000.0 asLargeFloat ).
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self assert:( 2.0 asLargeFloat <= 3 ).
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self assert:( 2.0 asLargeFloat <= 2 ).
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self assert:( 2.0 asLargeFloat <= 3.0 asShortFloat ).
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self assert:( 2.0 asLargeFloat <= 2.0 asShortFloat ).
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self assert:( 2.0 asLargeFloat <= 3.0 asLongFloat ).
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self assert:( 2.0 asLargeFloat <= 2.0 asLongFloat ).
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self assert:( 2.0 asLargeFloat <= 3.0 asLargeFloat ).
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self assert:( 2.0 asLargeFloat <= 2.0 asLargeFloat ).
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self assert:( 200000000000000000000.0 asLargeFloat <= 200000000000000000001 ).
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self assert:( 200000000000000000000.0 asLargeFloat <= 200000000000000000000 ).
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self assert:( 200000000000000000000 <= 200001000000000000000.0 asLargeFloat ).
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self assert:( 200000000000000000000 <= 200000000000000000000.0 asLargeFloat ).
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"
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self basicNew test05_Comparing
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"
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!
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test06_MiscMath
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#(
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1720
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sqrt 100000.0
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sqrt 1000.0
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sqrt 100.0
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sqrt 100
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sqrt 2.0
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sqrt 1.0
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sqrt 0.5
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sqrt 0.0
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204
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"/ exp 0.5
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"/ ln 100.0
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"/ ln 10.0
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"/ ln 0.5
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"/ log10 100.0
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"/ log10 10.0
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204
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"/ log10 0.5
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204
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"/ sin 0.5
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"/ cos 0.5
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"/ tan 0.5
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"/ arcSin 0.5
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"/ arcCos 0.5
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"/ arcTan 0.5
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sinh 0.5
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cosh 0.5
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tanh 0.5
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"/ arcSinh 0.5
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"/ arcCosh 1.5
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"/ arcTanh 0.5
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) pairWiseDo:[:op :arg |
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"/ self assert:( arg asLargeFloat perform:op ) class == LargeFloat.
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( arg asLargeFloat perform:op ) class == LargeFloat ifFalse:[
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Transcript showCR:'warning: missing LargeFloat function: ' , op.
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].
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self assert:( (arg perform:op) - (arg asLargeFloat perform:op) ) < 0.000001.
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self assert:( (arg perform:op) - (arg perform:op) asLargeFloat ) < 0.000001.
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204
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].
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"
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self basicNew test06_MiscMath
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"
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1720
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"Modified: / 10-10-2017 / 12:54:52 / cg"
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204
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!
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309 |
test07_Truncation
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|check|
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311 |
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check := [:num |
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self assert:( num fractionPart + num truncated ) = num.
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self assert:( num fractionPart + num truncated ) class == num class.
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].
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316 |
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check value:1.6 asLargeFloat.
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check value:-1.6 asLargeFloat.
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319 |
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320 |
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self assert:( 1.6 asLargeFloat ceiling ) = 2.
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322 |
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self assert:( 1.6 asLargeFloat ceilingAsFloat ) = 2.0 asLargeFloat.
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self assert:( 1.6 asLargeFloat ceilingAsFloat ) class == LargeFloat.
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325 |
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326 |
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self assert:( 1.6 asLargeFloat floor ) = 1.
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328 |
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self assert:( 1.6 asLargeFloat floorAsFloat ) = 1.0 asLargeFloat.
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330 |
self assert:( 1.6 asLargeFloat floorAsFloat ) class == LargeFloat.
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331 |
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332 |
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1447
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333 |
self assert:( 0.4 asLargeFloat rounded ) class == SmallInteger.
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334 |
self assert:( 0.4 asLargeFloat rounded = 0 ).
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335 |
self assert:( 0.5 asLargeFloat rounded = 1 ).
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336 |
self assert:( 0.6 asLargeFloat rounded = 1 ).
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337 |
self assert:( -0.4 asLargeFloat rounded = 0 ).
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338 |
self assert:( -0.5 asLargeFloat rounded = -1 ).
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|
339 |
self assert:( -0.6 asLargeFloat rounded = -1 ).
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204
|
340 |
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1447
|
341 |
self assert:( 0.4 asLargeFloat roundedAsFloat ) class == LargeFloat.
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|
342 |
self assert:( 0.4 asLargeFloat roundedAsFloat = 0.0 ).
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343 |
self assert:( 0.5 asLargeFloat roundedAsFloat = 1.0 ).
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344 |
self assert:( 0.6 asLargeFloat roundedAsFloat = 1.0 ).
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345 |
self assert:( -0.4 asLargeFloat roundedAsFloat = 0 ).
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346 |
self assert:( -0.5 asLargeFloat roundedAsFloat = -1.0 ).
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|
347 |
self assert:( -0.6 asLargeFloat roundedAsFloat = -1.0 ).
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204
|
348 |
|
|
1447
|
349 |
self assert:( 0.4 truncated ) class == SmallInteger.
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|
350 |
self assert:( 0.4 truncated = 0 ).
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|
351 |
self assert:( 0.5 truncated = 0 ).
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|
352 |
self assert:( 0.6 truncated = 0 ).
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|
353 |
self assert:( -0.4 truncated = 0 ).
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|
354 |
self assert:( -0.5 truncated = 0 ).
|
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|
355 |
self assert:( -0.6 truncated = 0 ).
|
|
204
|
356 |
|
|
1447
|
357 |
self assert:( 0.4 truncatedAsFloat ) class == Float.
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|
|
358 |
self assert:( 0.4 truncatedAsFloat = 0.0 ).
|
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|
359 |
self assert:( 0.5 truncatedAsFloat = 0.0 ).
|
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|
360 |
self assert:( 0.6 truncatedAsFloat = 0.0 ).
|
|
|
361 |
self assert:( -0.4 truncatedAsFloat = 0 ).
|
|
|
362 |
self assert:( -0.5 truncatedAsFloat = 0.0 ).
|
|
|
363 |
self assert:( -0.6 truncatedAsFloat = 0.0 ).
|
|
204
|
364 |
|
|
1447
|
365 |
self assert:( 0.4 asShortFloat truncated ) class == SmallInteger.
|
|
|
366 |
self assert:( 0.4 asShortFloat truncated = 0 ).
|
|
|
367 |
self assert:( 0.5 asShortFloat truncated = 0 ).
|
|
|
368 |
self assert:( 0.6 asShortFloat truncated = 0 ).
|
|
|
369 |
self assert:( -0.4 asShortFloat truncated = 0 ).
|
|
|
370 |
self assert:( -0.5 asShortFloat truncated = 0 ).
|
|
|
371 |
self assert:( -0.6 asShortFloat truncated = 0 ).
|
|
204
|
372 |
|
|
1447
|
373 |
self assert:( 0.4 asShortFloat truncatedAsFloat ) class == ShortFloat.
|
|
|
374 |
self assert:( 0.4 asShortFloat truncatedAsFloat = 0.0 ).
|
|
|
375 |
self assert:( 0.5 asShortFloat truncatedAsFloat = 0.0 ).
|
|
|
376 |
self assert:( 0.6 asShortFloat truncatedAsFloat = 0.0 ).
|
|
|
377 |
self assert:( -0.4 asShortFloat truncatedAsFloat = 0 ).
|
|
|
378 |
self assert:( -0.5 asShortFloat truncatedAsFloat = 0.0 ).
|
|
|
379 |
self assert:( -0.6 asShortFloat truncatedAsFloat = 0.0 ).
|
|
204
|
380 |
|
|
1447
|
381 |
self assert:( 0.4 asLargeFloat truncated ) class == SmallInteger.
|
|
|
382 |
self assert:( 0.4 asLargeFloat truncated = 0 ).
|
|
|
383 |
self assert:( 0.5 asLargeFloat truncated = 0 ).
|
|
|
384 |
self assert:( 0.6 asLargeFloat truncated = 0 ).
|
|
|
385 |
self assert:( -0.4 asLargeFloat truncated = 0 ).
|
|
|
386 |
self assert:( -0.5 asLargeFloat truncated = 0 ).
|
|
|
387 |
self assert:( -0.6 asLargeFloat truncated = 0 ).
|
|
204
|
388 |
|
|
1447
|
389 |
self assert:( 0.4 asLargeFloat truncatedAsFloat ) class == LargeFloat.
|
|
|
390 |
self assert:( 0.4 asLargeFloat truncatedAsFloat = 0.0 ).
|
|
|
391 |
self assert:( 0.5 asLargeFloat truncatedAsFloat = 0.0 ).
|
|
|
392 |
self assert:( 0.6 asLargeFloat truncatedAsFloat = 0.0 ).
|
|
|
393 |
self assert:( -0.4 asLargeFloat truncatedAsFloat = 0 ).
|
|
|
394 |
self assert:( -0.5 asLargeFloat truncatedAsFloat = 0.0 ).
|
|
|
395 |
self assert:( -0.6 asLargeFloat truncatedAsFloat = 0.0 ).
|
|
204
|
396 |
|
|
|
397 |
"
|
|
|
398 |
self basicNew test07_Truncation
|
|
|
399 |
"
|
|
|
400 |
!
|
|
|
401 |
|
|
|
402 |
test08_Representation
|
|
1447
|
403 |
"/ self assert:( 0.0 asLargeFloat exponent = 0 ).
|
|
204
|
404 |
"/ self assert:( 1.0 asLargeFloat exponent = 0 "1" ).
|
|
|
405 |
"/ self assert:( 2.0 asLargeFloat exponent = 1 "2" ).
|
|
|
406 |
"/ self assert:( 3.0 asLargeFloat exponent = 2 ).
|
|
|
407 |
"/ self assert:( 4.0 asLargeFloat exponent = 3 ).
|
|
|
408 |
"/ self assert:( 0.5 asLargeFloat exponent = 0 ).
|
|
|
409 |
"/ self assert:( 0.4 asLargeFloat exponent = -1 ).
|
|
|
410 |
"/ self assert:( 0.25 asLargeFloat exponent = -1 ).
|
|
|
411 |
"/ self assert:( 0.125 asLargeFloat exponent = -2 ).
|
|
|
412 |
"/ self assert:( 0.00000011111 asLargeFloat exponent = -23 ).
|
|
|
413 |
|
|
|
414 |
"
|
|
|
415 |
self basicNew test08_Representation
|
|
|
416 |
"
|
|
|
417 |
!
|
|
|
418 |
|
|
|
419 |
test09_Testing
|
|
1447
|
420 |
self assert:( 0.0 asLargeFloat isZero ).
|
|
|
421 |
self assert:( 1.0 asLargeFloat isZero not ).
|
|
204
|
422 |
|
|
1447
|
423 |
self assert:( 0.0 asLargeFloat negative not ).
|
|
|
424 |
self assert:( 1.0 asLargeFloat negative not ).
|
|
|
425 |
self assert:( -1.0 asLargeFloat negative ).
|
|
204
|
426 |
|
|
1447
|
427 |
self assert:( 0.0 asLargeFloat positive ).
|
|
|
428 |
self assert:( 1.0 asLargeFloat positive ).
|
|
|
429 |
self assert:( -1.0 asLargeFloat positive not ).
|
|
204
|
430 |
|
|
1447
|
431 |
self assert:( 0.0 asLargeFloat strictlyPositive not ).
|
|
|
432 |
self assert:( 1.0 asLargeFloat strictlyPositive ).
|
|
|
433 |
self assert:( -1.0 asLargeFloat strictlyPositive not ).
|
|
204
|
434 |
|
|
1447
|
435 |
self assert:( 0.0 asLargeFloat sign == 0 ).
|
|
|
436 |
self assert:( 1.0 asLargeFloat sign == 1 ).
|
|
|
437 |
self assert:( -1.0 asLargeFloat sign == -1 ).
|
|
204
|
438 |
|
|
|
439 |
"
|
|
|
440 |
self basicNew test09_Testing
|
|
|
441 |
"
|
|
|
442 |
! !
|
|
|
443 |
|
|
|
444 |
!LargeFloatTest class methodsFor:'documentation'!
|
|
|
445 |
|
|
|
446 |
version
|
|
|
447 |
^ '$Header$'
|
|
|
448 |
! !
|
|
1070
|
449 |
|