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"{ Encoding: utf8 }"
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"{ Package: 'stx:goodies/regression' }"
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"{ NameSpace: RegressionTests }"
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TestCase subclass:#QuadFloatTest
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instanceVariableNames:'longFloatToQuadFloatSupported'
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classVariableNames:''
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poolDictionaries:''
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category:'tests-Regression-Numbers'
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!
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!QuadFloatTest class methodsFor:'documentation'!
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documentation
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"
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documentation to be added.
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class:
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<a short class summary here, describing what instances represent>
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responsibilities:
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<describing what my main role is>
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collaborators:
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<describing with whom and how I talk to>
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API:
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<public api and main messages>
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example:
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<a one-line examples on how to use - can also be in a separate example method>
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implementation:
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<implementation points>
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[author:]
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Claus Gittinger
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[instance variables:]
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[class variables:]
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[see also:]
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"
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! !
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!QuadFloatTest class 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 x count|
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one := aFloatClass unity. "/ 1.0 in this class
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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 / 2.
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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 actualPrecisionOf:ShortFloat
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self actualPrecisionOf:Float
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self actualPrecisionOf:LongFloat
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"
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! !
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!QuadFloatTest methodsFor:'helpers'!
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setUp
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Error handle:[:ex |
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longFloatToQuadFloatSupported := false.
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] do:[
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0.0 asLongFloat asQuadFloat isZero.
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longFloatToQuadFloatSupported := true.
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].
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"Created: / 08-06-2019 / 13:42:50 / Claus Gittinger"
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! !
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!QuadFloatTest methodsFor:'tests'!
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test00_Precision
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"computed precision vs. assumed precision."
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|a b|
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self skipIf:(ExternalAddress pointerSize == 4) description:'only suported on 64bit machines'.
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self assert:( (a := QuadFloat precision) = (b := self class actualPrecisionOf:QuadFloat))
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description:('QuadFloat precision: %1 ~~ actual: %2' bindWith:a with:b).
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"
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self basicNew test00_Precision
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"
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"Modified: / 03-05-2012 / 18:47:21 / cg"
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"Modified: / 07-06-2019 / 03:22:43 / Claus Gittinger"
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!
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test01_Nan
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"NaN"
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|shouldBeQuadFloatNaN|
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self skipIf:(ExternalAddress pointerSize == 4) description:'only supported on 64bit machines'.
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self assert:( QuadFloat NaN isNaN ).
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self assert:( QuadFloat NaN isFinite not ).
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self assert:( QuadFloat NaN asFloat isNaN ).
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self assert:( QuadFloat NaN asShortFloat isNaN ).
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self should:[ QuadFloat NaN asInteger isNaN ] raise:Error.
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shouldBeQuadFloatNaN := 0.0 asQuadFloat uncheckedDivide: 0.0 asQuadFloat.
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self assert:( shouldBeQuadFloatNaN isMemberOf:QuadFloat ).
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self assert:( shouldBeQuadFloatNaN isNaN ).
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self assert:( shouldBeQuadFloatNaN isFinite not ).
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self assert:( shouldBeQuadFloatNaN asFloat isNaN ).
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self assert:( shouldBeQuadFloatNaN asShortFloat isNaN ).
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self assert:(QuadFloat zero isZero).
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self assert:(0.0 asQuadFloat isZero).
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shouldBeQuadFloatNaN := 0.0 asQuadFloat uncheckedDivide: 0.0.
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self assert:( shouldBeQuadFloatNaN isMemberOf:QuadFloat ).
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self assert:( shouldBeQuadFloatNaN isNaN ).
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self assert:( shouldBeQuadFloatNaN isFinite not ).
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self assert:( shouldBeQuadFloatNaN asFloat isNaN ).
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self assert:( shouldBeQuadFloatNaN asShortFloat isNaN ).
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self assert:( shouldBeQuadFloatNaN + 1 ) isNaN.
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self assert:( shouldBeQuadFloatNaN + 1.0 ) isNaN.
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self assert:( shouldBeQuadFloatNaN + 1.0 asShortFloat ) isNaN.
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self assert:( shouldBeQuadFloatNaN - 1 ) isNaN.
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self assert:( shouldBeQuadFloatNaN - 1.0 ) isNaN.
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self assert:( shouldBeQuadFloatNaN - 1.0 asShortFloat ) isNaN.
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"
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self basicNew test01_Nan
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"
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"Modified: / 20-06-2017 / 14:00:08 / cg"
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"Modified: / 10-06-2019 / 21:50:19 / Claus Gittinger"
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!
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test01b_Nan
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"NaN against longFloat"
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|shouldBeQuadFloatNaN|
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self skipIf:(ExternalAddress pointerSize == 4) description:'only supported on 64bit machines'.
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self skipIf:(longFloatToQuadFloatSupported not) description:'longFloat to quadFloat not yet supported'.
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self assert:( QuadFloat NaN isNaN ).
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shouldBeQuadFloatNaN := 0.0 asQuadFloat uncheckedDivide: 0.0 asQuadFloat.
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self assert:( shouldBeQuadFloatNaN isNaN ).
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self assert:( shouldBeQuadFloatNaN asLongFloat isNaN ).
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self assert:( shouldBeQuadFloatNaN + 1.0 asLongFloat ) isNaN.
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self assert:( shouldBeQuadFloatNaN - 1.0 asLongFloat ) isNaN.
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"
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self basicNew test01b_Nan
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"
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"Created: / 08-06-2019 / 13:38:12 / Claus Gittinger"
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!
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test02_Inf
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"Infinity"
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|check posInf negInf|
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self skipIf:(ExternalAddress pointerSize == 4) description:'only supported on 64bit machines'.
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{ QuadFloat }
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do:[:cls |
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posInf := cls infinity.
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self assert:( posInf isInfinite ).
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self assert:( posInf isFinite not ).
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self assert:( posInf > 0 ).
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self assert:( posInf >= 0 ).
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self assert:( posInf < 0 ) not.
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self assert:( posInf <= 0 ) not.
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negInf := cls negativeInfinity.
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self assert:( negInf isInfinite ).
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self assert:( negInf isFinite not ).
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self assert:( negInf < 0 ).
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self assert:( negInf <= 0 ).
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self assert:( negInf > 0 ) not.
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self assert:( negInf >= 0 ) not.
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].
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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 asQuadFloat value: 0.0 asQuadFloat.
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"
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self basicNew test02_Inf
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"
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"Modified: / 20-06-2017 / 14:03:08 / cg"
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"Modified: / 10-06-2019 / 22:53:31 / Claus Gittinger"
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!
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test03_Conversion
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self skipIf:(ExternalAddress pointerSize == 4) description:'only supported on 64bit machines'.
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self assert:( 1.0 asQuadFloat asTrueFraction == 1 ).
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self assert:( 2.0 asQuadFloat asTrueFraction == 2 ).
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self assert:( 4.0 asQuadFloat asTrueFraction == 4 ).
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self assert:( 8.0 asQuadFloat asTrueFraction == 8 ).
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self assert:( 16.0 asQuadFloat asTrueFraction == 16 ).
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self assert:( 1048576.0 asQuadFloat asTrueFraction == 1048576 ).
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self assert:( 0.5 asQuadFloat asTrueFraction = (1/2) ).
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self assert:( 0.25 asQuadFloat asTrueFraction = (1/4) ).
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self assert:( 0.125 asQuadFloat asTrueFraction = (1/8) ).
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self assert: ((5/9) asQuadFloat - 0.555555555555) abs < 0.0000000001.
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self assert: ((Fraction basicNew setNumerator:500000000000 denominator:900000000000)
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asQuadFloat - 0.555555555555) abs < 0.000000000001.
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self assert: ((Fraction basicNew setNumerator:500000000001 denominator:900000000000)
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asQuadFloat - 0.555555555555) abs >= 0.000000000001.
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self assert: (89012345678901234567 asQuadFloat = 89012345678901234567).
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self assert: (-89012345678901234567 asQuadFloat = -89012345678901234567).
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self assert: (89012345678901234567 negated asQuadFloat = -89012345678901234567).
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self assert: ((89012345678901234567 / 123456789123456789) asQuadFloat - (89012345678901234567 asQuadFloat / 123456789123456789 asQuadFloat) ) abs < 0.000000000001.
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self assert: ((-89012345678901234567 / 123456789123456789) asQuadFloat - (-89012345678901234567 asQuadFloat / 123456789123456789 asQuadFloat)) abs < 0.000000000001.
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"
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self basicNew test03_Conversion
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"
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"Modified: / 09-08-2011 / 21:01:57 / cg"
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"Modified: / 08-06-2019 / 13:53:32 / Claus Gittinger"
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!
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test04_Arithmetic
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self skipIf:(ExternalAddress pointerSize == 4) description:'only supported on 64bit machines'.
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self assert:( 1.0 + 1.0 asQuadFloat) class == QuadFloat.
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self assert:( 1.0 asQuadFloat + 1.0 ) class == QuadFloat.
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self assert:( 1.0 asQuadFloat + 1.0 asShortFloat ) class == QuadFloat.
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self assert:( 1.0 asQuadFloat + 1.0 asFloat ) class == QuadFloat.
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self assert:( 1.0 asQuadFloat + 1 ) class == QuadFloat.
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self assert:( 1.0 - 1.0 asQuadFloat) class == QuadFloat.
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self assert:( 1.0 asQuadFloat - 1.0 ) class == QuadFloat.
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self assert:( 1.0 asQuadFloat - 1.0 asShortFloat ) class == QuadFloat.
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self assert:( 1.0 asQuadFloat - 1.0 asFloat ) class == QuadFloat.
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self assert:( 1.0 asQuadFloat - 1 ) class == QuadFloat.
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self assert:( 1.0 * 1.0 asQuadFloat) class == QuadFloat.
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self assert:( 1.0 asQuadFloat * 1.0 ) class == QuadFloat.
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self assert:( 1.0 asQuadFloat * 1.0 asShortFloat ) class == QuadFloat.
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self assert:( 1.0 asQuadFloat * 1.0 asFloat ) class == QuadFloat.
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self assert:( 1.0 asQuadFloat * 1 ) class == QuadFloat.
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self assert:(1.0 asQuadFloat = 1.0 asQuadFloat).
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self assert:(1.0 asQuadFloat = 1.0 ).
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self assert:(1.0 asQuadFloat = 1.0 asShortFloat).
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"/ self assert:(1.0 asQuadFloat = 1.0 asLongFloat).
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self assert:(1.0 asQuadFloat = 1).
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self assert:( 1.0 / 1.0 asQuadFloat) class == QuadFloat.
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self assert:( 1.0 asQuadFloat / 1.0 ) class == QuadFloat.
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self assert:( 1.0 asQuadFloat / 1.0 asShortFloat ) class == QuadFloat.
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self assert:( 1.0 asQuadFloat / 1.0 asFloat ) class == QuadFloat.
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self assert:( 1.0 asQuadFloat / 1 ) class == QuadFloat.
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self assert:( 1.0 / 2.0 asQuadFloat) class == QuadFloat.
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self assert:( 1.0 asQuadFloat / 2.0 ) class == QuadFloat.
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self assert:( 1.0 asQuadFloat / 2.0 asShortFloat ) class == QuadFloat.
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self assert:( 1.0 asQuadFloat / 2.0 asFloat ) class == QuadFloat.
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self assert:( 1.0 asQuadFloat / 2 ) class == QuadFloat.
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self assert:( 5.0 rem: 2.0 asQuadFloat) class == QuadFloat.
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self assert:( 5.0 asShortFloat rem: 2.0 asQuadFloat) class == QuadFloat.
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self assert:( 5.0 asQuadFloat rem: 2.0 ) class == QuadFloat.
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self assert:( 5.0 asQuadFloat rem: 2.0 asShortFloat ) class == QuadFloat.
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self assert:( 5.0 asQuadFloat rem: 2.0 asFloat ) class == QuadFloat.
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self assert:( 5.0 asQuadFloat rem: 2 ) class == QuadFloat.
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"
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343 |
self basicNew test04_Arithmetic
|
|
|
344 |
"
|
|
|
345 |
|
|
2284
|
346 |
"Modified: / 08-06-2019 / 13:53:35 / Claus Gittinger"
|
|
2274
|
347 |
!
|
|
|
348 |
|
|
|
349 |
test05_Comparing
|
|
|
350 |
|convArray check v1 v2 v1b|
|
|
|
351 |
|
|
2284
|
352 |
self skipIf:(ExternalAddress pointerSize == 4) description:'only supported on 64bit machines'.
|
|
2275
|
353 |
|
|
2283
|
354 |
self assert:(QuadFloat zero = QuadFloat zero).
|
|
|
355 |
self assert:(QuadFloat zero = 0.0 asQuadFloat).
|
|
|
356 |
self assert:((0.0 asQuadFloat) = QuadFloat zero).
|
|
|
357 |
|
|
|
358 |
self assert:(QuadFloat unity = QuadFloat unity).
|
|
|
359 |
self assert:(QuadFloat unity = 1.0 asQuadFloat).
|
|
|
360 |
self assert:((1.0 asQuadFloat) = QuadFloat unity).
|
|
|
361 |
|
|
|
362 |
self assert:(QuadFloat zero ~= QuadFloat unity).
|
|
|
363 |
self assert:(QuadFloat zero < QuadFloat unity).
|
|
|
364 |
self assert:(QuadFloat zero <= QuadFloat unity).
|
|
|
365 |
self assert:(QuadFloat unity > QuadFloat zero).
|
|
|
366 |
self assert:(QuadFloat unity >= QuadFloat zero).
|
|
|
367 |
|
|
2274
|
368 |
convArray := OrderedCollection new.
|
|
|
369 |
convArray addAll:#(yourself asInteger asFloat asShortFloat asLongFloat).
|
|
2283
|
370 |
false ifTrue:[
|
|
2274
|
371 |
(Smalltalk at:#LargeFloat) notNil ifTrue:[
|
|
|
372 |
convArray add:#asLongFloat.
|
|
|
373 |
].
|
|
|
374 |
(Smalltalk at:#QuadFloat) notNil ifTrue:[
|
|
|
375 |
convArray add:#asQuadFloat.
|
|
|
376 |
].
|
|
2283
|
377 |
].
|
|
2274
|
378 |
check := [:iv1 :iv2|
|
|
|
379 |
convArray do:[:conv1 |
|
|
|
380 |
v1 := (iv1 perform:conv1).
|
|
|
381 |
|
|
|
382 |
self assert:( v1 = nil ) not.
|
|
|
383 |
self assert:( nil = v1 ) not.
|
|
|
384 |
self assert:( v1 ~= nil ).
|
|
|
385 |
self assert:( nil ~= v1 ).
|
|
|
386 |
|
|
|
387 |
convArray do:[:conv2 |
|
|
|
388 |
v1b := (iv1 perform:conv2).
|
|
|
389 |
|
|
|
390 |
self assert:( v1 = v1b ).
|
|
|
391 |
self assert:( v1 <= v1b ).
|
|
|
392 |
self assert:( v1 >= v1b ).
|
|
|
393 |
|
|
|
394 |
v2 := (iv2 perform:conv2).
|
|
|
395 |
|
|
|
396 |
self assert:( v1 < v2 ).
|
|
|
397 |
self assert:( v1 <= v2 ).
|
|
|
398 |
self assert:( v2 >= v1 ).
|
|
|
399 |
self assert:( v2 > v1 ).
|
|
|
400 |
]
|
|
|
401 |
].
|
|
|
402 |
].
|
|
|
403 |
|
|
|
404 |
check value:2 value:3.
|
|
|
405 |
check value:0 value:1.
|
|
|
406 |
check value:-1 value:0.
|
|
|
407 |
check value:-3 value:-2.
|
|
|
408 |
check value:-3 value:3.
|
|
|
409 |
|
|
|
410 |
check value:-30 value:1.
|
|
|
411 |
check value:-1 value:30.
|
|
|
412 |
|
|
|
413 |
"/ showing that float precision is limited...
|
|
|
414 |
|
|
|
415 |
"/ test fails when stc code, jit code works
|
|
|
416 |
false "(Helper
|
|
|
417 |
isStcCompiledMethod:#'test05_Comparing'
|
|
|
418 |
in:self)" ifTrue:[
|
|
|
419 |
"/ stc-compiled code handles not slightly differently
|
|
|
420 |
"/ listed compares will fail
|
|
|
421 |
'FloatTest >> test05_Comparing: test with 200000000000000000000 or similiar are skipped due would fail when stc code' infoPrintCR.
|
|
|
422 |
] ifFalse:[
|
|
|
423 |
self assert:( 200000000000000000000.0 = 200000000000000000001.0 ).
|
|
|
424 |
|
|
|
425 |
self assert:( 200000000000000000000.0 = 200000000000000000001 ).
|
|
|
426 |
self assert:( 200000000000000000000.0 = 200000000000000000000 ).
|
|
|
427 |
self assert:( 200000000000000000000.0 asLongFloat = 200000000000000000000 ).
|
|
|
428 |
|
|
|
429 |
self assert:( 200000000000000000000 = 200000000000000000000.0).
|
|
|
430 |
self assert:( 200000000000000000000 = 200000000000000000000.0 asLongFloat ).
|
|
|
431 |
|
|
|
432 |
self assert:( 200000000000000000000.0 < 200000100000000000000 ).
|
|
|
433 |
self assert:( 200000000000000000000.0 asLongFloat < 200000000000100000000 ).
|
|
|
434 |
self assert:( 200000000000000000000.0 asShortFloat < 200001000000000000000 ).
|
|
|
435 |
|
|
|
436 |
self assert:( 200000000000000000000 < 200001000000000000000.0).
|
|
|
437 |
self assert:( 200000000000000000000 < 200001000000000000000.0 asLongFloat ).
|
|
|
438 |
self assert:( 200000000000000000000 < 200001000000000000000.0 asShortFloat ).
|
|
|
439 |
|
|
|
440 |
self assert:( 200000000000000000000.0 <= 200000100000000000000 ).
|
|
|
441 |
self assert:( 200000000000000000000.0 <= 200000000000000000000 ).
|
|
|
442 |
self assert:( 200000000000000000000.0 asLongFloat <= 200000000000000000001 ).
|
|
|
443 |
self assert:( 200000000000000000000.0 asLongFloat <= 200000000000000000000 ).
|
|
|
444 |
|
|
|
445 |
self assert:( 200000000000000000000 <= 200001000000000000000.0).
|
|
|
446 |
self assert:( 200000000000000000000 <= 200000000000000000000.0).
|
|
|
447 |
self assert:( 200000000000000000000 <= 200001000000000000000.0 asLongFloat ).
|
|
|
448 |
self assert:( 200000000000000000000 <= 200000000000000000000.0 asLongFloat ).
|
|
|
449 |
].
|
|
|
450 |
|
|
|
451 |
self assert:( 2000000.0 asShortFloat = 2000000 ).
|
|
|
452 |
self assert:( 2000000 = 2000000.0 asShortFloat ).
|
|
|
453 |
|
|
|
454 |
self assert:( 2000000.0 asShortFloat <= 200000100000000000000 ).
|
|
|
455 |
self assert:( 2000000.0 asShortFloat <= 2000000 ).
|
|
|
456 |
|
|
|
457 |
self assert:( 2000000 <= 2000000.0 asShortFloat ).
|
|
|
458 |
self assert:( 2000000 <= 2000000.0 asShortFloat ).
|
|
|
459 |
|
|
|
460 |
"
|
|
|
461 |
self basicNew test05_Comparing
|
|
|
462 |
"
|
|
|
463 |
|
|
2284
|
464 |
"Modified: / 08-06-2019 / 13:53:38 / Claus Gittinger"
|
|
2274
|
465 |
!
|
|
|
466 |
|
|
|
467 |
test06_MiscMath
|
|
|
468 |
|epsilon|
|
|
|
469 |
|
|
2284
|
470 |
self skipIf:(ExternalAddress pointerSize == 4) description:'only supported on 64bit machines'.
|
|
2275
|
471 |
|
|
2274
|
472 |
epsilon := 0.000001.
|
|
|
473 |
|
|
|
474 |
#(
|
|
|
475 |
sqrt 0.5 0.707107
|
|
|
476 |
sqrt 4 2.0
|
|
|
477 |
exp 0.5 1.64872
|
|
|
478 |
ln 0.5 -0.693147
|
|
|
479 |
log10 0.5 -0.30103
|
|
|
480 |
|
|
|
481 |
sin 0.5 0.479426
|
|
|
482 |
cos 0.5 0.877583
|
|
|
483 |
tan 0.5 0.546302
|
|
|
484 |
arcSin 0.5 0.523599
|
|
|
485 |
arcCos 0.5 1.0472
|
|
|
486 |
arcTan 0.5 0.463648
|
|
|
487 |
sinh 0.5 0.521095
|
|
|
488 |
cosh 0.5 1.12763
|
|
|
489 |
tanh 0.5 0.462117
|
|
|
490 |
arcSinh 0.5 0.481212
|
|
|
491 |
arcCosh 1.5 1.24983
|
|
|
492 |
arcTanh 0.5 0.549306
|
|
|
493 |
|
|
|
494 |
sin 0.0 0.0
|
|
|
495 |
cos 0.0 1.0
|
|
|
496 |
tan 0.0 0.0
|
|
|
497 |
sinh 0.0 0.0
|
|
|
498 |
cosh 0.0 1.0
|
|
|
499 |
tanh 0.0 0.0
|
|
|
500 |
|
|
|
501 |
sin 1.0 0.841471
|
|
|
502 |
cos 1.0 0.540302
|
|
|
503 |
tan 1.0 1.55741
|
|
|
504 |
sinh 1.0 1.1752
|
|
|
505 |
cosh 1.0 1.54308
|
|
|
506 |
tanh 1.0 0.761594
|
|
|
507 |
|
|
|
508 |
sin 3.14159 0.0
|
|
|
509 |
cos 3.14159 -1.0
|
|
|
510 |
tan 3.14159 0.0
|
|
|
511 |
sinh 3.14159 11.5487
|
|
|
512 |
cosh 3.14159 11.5919
|
|
|
513 |
tanh 3.14159 0.996272
|
|
|
514 |
|
|
|
515 |
|
|
|
516 |
tan 0.785398 1.0 "pi/4 -> should be 1"
|
|
|
517 |
arcCos -1.0 3.14159 "should be pi"
|
|
|
518 |
arcSin 1.0 1.5708 "should be pi/2 (1.5708)"
|
|
|
519 |
arcTan 1.0 0.785398 "should be pi/4 (.785398)"
|
|
|
520 |
) inGroupsOf:3 do:[:op :x :expected|
|
|
|
521 |
|rslt rsltQuadFloat|
|
|
|
522 |
|
|
|
523 |
rslt := x perform:op.
|
|
|
524 |
rsltQuadFloat := x asQuadFloat perform:op.
|
|
|
525 |
|
|
|
526 |
self assert:(rslt class == Float).
|
|
|
527 |
self assert:(rsltQuadFloat class == QuadFloat).
|
|
|
528 |
|
|
|
529 |
self assert:( rslt - rsltQuadFloat ) < epsilon.
|
|
|
530 |
self assert:( rslt - rslt asShortFloat ) < epsilon.
|
|
|
531 |
self assert:( rslt - rslt asLongFloat ) < epsilon.
|
|
|
532 |
self assert:( rslt - rslt asQuadFloat ) < epsilon.
|
|
|
533 |
].
|
|
|
534 |
|
|
|
535 |
self should:[ -2 arcSin ] raise:DomainError.
|
|
|
536 |
self should:[ -2 arcCos ] raise:DomainError.
|
|
|
537 |
self should:[ -1 arcTanh ] raise:DomainError.
|
|
|
538 |
|
|
|
539 |
#(
|
|
|
540 |
0.0
|
|
|
541 |
0.5
|
|
|
542 |
1.0
|
|
|
543 |
2.0
|
|
|
544 |
1.57079
|
|
|
545 |
) do:[:x |
|
|
|
546 |
self assert:( x sin arcSin - x < epsilon).
|
|
|
547 |
self assert:( x cos arcCos - x < epsilon).
|
|
|
548 |
self assert:( x tan arcTan - x < epsilon).
|
|
|
549 |
].
|
|
|
550 |
|
|
|
551 |
#(
|
|
|
552 |
-1.0
|
|
|
553 |
-0.5
|
|
|
554 |
0.0
|
|
|
555 |
0.5
|
|
|
556 |
1.0
|
|
|
557 |
) do:[:x |
|
|
|
558 |
self assert:( x arcSin sin - x < epsilon).
|
|
|
559 |
self assert:( x arcCos cos - x < epsilon).
|
|
|
560 |
self assert:( x arcTan tan - x < epsilon).
|
|
|
561 |
].
|
|
|
562 |
|
|
|
563 |
#(
|
|
|
564 |
0.0
|
|
|
565 |
0.5
|
|
|
566 |
1.0
|
|
|
567 |
2.0
|
|
|
568 |
10
|
|
|
569 |
) do:[:x |
|
|
|
570 |
self assert:( x cosh arcCosh - x < epsilon).
|
|
|
571 |
].
|
|
|
572 |
#(
|
|
|
573 |
-10
|
|
|
574 |
-2
|
|
|
575 |
-1
|
|
|
576 |
-0.5
|
|
|
577 |
0.0
|
|
|
578 |
0.5
|
|
|
579 |
1.0
|
|
|
580 |
2.0
|
|
|
581 |
10
|
|
|
582 |
) do:[:x |
|
|
|
583 |
self assert:( x sinh arcSinh - x < epsilon).
|
|
|
584 |
self assert:( x tanh arcTanh - x < epsilon).
|
|
|
585 |
].
|
|
|
586 |
|
|
|
587 |
|
|
|
588 |
#(
|
|
|
589 |
-0.99
|
|
|
590 |
-0.5
|
|
|
591 |
0.0
|
|
|
592 |
0.5
|
|
|
593 |
0.99
|
|
|
594 |
) do:[:x |
|
|
|
595 |
self assert:( x arcTanh - (( ( (1+x)/(1-x) ) ln ) / 2 ) ) < epsilon.
|
|
|
596 |
].
|
|
|
597 |
|
|
|
598 |
#(
|
|
|
599 |
-10
|
|
|
600 |
-5
|
|
|
601 |
-2.0
|
|
|
602 |
-1.0
|
|
|
603 |
0.0
|
|
|
604 |
1.0
|
|
|
605 |
2.0
|
|
|
606 |
10
|
|
|
607 |
) do:[:x |
|
|
|
608 |
self assert:( x arcSinh sinh - x < epsilon).
|
|
|
609 |
].
|
|
|
610 |
|
|
|
611 |
#(
|
|
|
612 |
1.0
|
|
|
613 |
2.0
|
|
|
614 |
10.0
|
|
|
615 |
) do:[:x |
|
|
|
616 |
self assert:( x arcCosh cosh - x < epsilon).
|
|
|
617 |
].
|
|
|
618 |
|
|
|
619 |
self assert:(2.0 raisedTo:2) = 4.0.
|
|
|
620 |
self assert:(2 raisedTo:2.0) = 4.0.
|
|
|
621 |
self assert:(2.0 raisedTo:2.0) = 4.0.
|
|
|
622 |
|
|
|
623 |
"
|
|
|
624 |
self basicNew test06_MiscMath
|
|
|
625 |
"
|
|
|
626 |
|
|
|
627 |
"Modified: / 02-07-2017 / 00:51:05 / cg"
|
|
2284
|
628 |
"Modified: / 08-06-2019 / 13:53:42 / Claus Gittinger"
|
|
2274
|
629 |
!
|
|
|
630 |
|
|
|
631 |
test07_Truncation
|
|
|
632 |
|check|
|
|
|
633 |
|
|
2284
|
634 |
self skipIf:(ExternalAddress pointerSize == 4) description:'only supported on 64bit machines'.
|
|
2275
|
635 |
|
|
2274
|
636 |
check := [:num |
|
|
|
637 |
self assert:( num fractionPart + num truncated ) = num.
|
|
|
638 |
self assert:( num fractionPart + num truncated ) class == num class.
|
|
|
639 |
].
|
|
|
640 |
|
|
|
641 |
check value:1.6 asQuadFloat.
|
|
|
642 |
check value:-1.6 asQuadFloat.
|
|
|
643 |
|
|
|
644 |
|
|
|
645 |
self assert:( 1.6 asQuadFloat ceiling ) = 2.
|
|
|
646 |
|
|
|
647 |
self assert:( 1.6 asQuadFloat ceilingAsFloat ) = 2.0 asQuadFloat.
|
|
|
648 |
self assert:( 1.6 asQuadFloat ceilingAsFloat ) class == QuadFloat.
|
|
|
649 |
|
|
|
650 |
|
|
|
651 |
self assert:( 1.6 asQuadFloat floor ) = 1.
|
|
|
652 |
|
|
|
653 |
self assert:( 1.6 asQuadFloat floorAsFloat ) = 1.0 asQuadFloat.
|
|
|
654 |
self assert:( 1.6 asQuadFloat floorAsFloat ) class == QuadFloat.
|
|
|
655 |
|
|
|
656 |
self assert:( -1.6 asQuadFloat floor ) = -2.
|
|
|
657 |
|
|
|
658 |
self assert:( -1.6 asQuadFloat floorAsFloat ) = -2.0 asQuadFloat.
|
|
|
659 |
self assert:( -1.6 asQuadFloat floorAsFloat ) class == QuadFloat.
|
|
|
660 |
|
|
|
661 |
|
|
|
662 |
self assert:( 0.4 asQuadFloat rounded ) class == SmallInteger.
|
|
|
663 |
self assert:( 0.4 asQuadFloat rounded = 0 ).
|
|
|
664 |
self assert:( 0.5 asQuadFloat rounded = 1 ).
|
|
|
665 |
self assert:( 0.6 asQuadFloat rounded = 1 ).
|
|
|
666 |
self assert:( -0.4 asQuadFloat rounded = 0 ).
|
|
|
667 |
self assert:( -0.5 asQuadFloat rounded = -1 ).
|
|
|
668 |
self assert:( -0.6 asQuadFloat rounded = -1 ).
|
|
|
669 |
|
|
|
670 |
self assert:( 0.4 asQuadFloat roundedAsFloat ) class == QuadFloat.
|
|
|
671 |
self assert:( 0.4 asQuadFloat roundedAsFloat = 0.0 ).
|
|
|
672 |
self assert:( 0.5 asQuadFloat roundedAsFloat = 1.0 ).
|
|
|
673 |
self assert:( 0.6 asQuadFloat roundedAsFloat = 1.0 ).
|
|
|
674 |
self assert:( -0.4 asQuadFloat roundedAsFloat = 0 ).
|
|
|
675 |
self assert:( -0.5 asQuadFloat roundedAsFloat = -1.0 ).
|
|
|
676 |
self assert:( -0.6 asQuadFloat roundedAsFloat = -1.0 ).
|
|
|
677 |
|
|
|
678 |
self assert:( 0.4 asQuadFloat truncated ) class == SmallInteger.
|
|
|
679 |
self assert:( 0.4 asQuadFloat truncated = 0 ).
|
|
|
680 |
self assert:( 0.5 asQuadFloat truncated = 0 ).
|
|
|
681 |
self assert:( 0.6 asQuadFloat truncated = 0 ).
|
|
|
682 |
self assert:( -0.4 asQuadFloat truncated = 0 ).
|
|
|
683 |
self assert:( -0.5 asQuadFloat truncated = 0 ).
|
|
|
684 |
self assert:( -0.6 asQuadFloat truncated = 0 ).
|
|
|
685 |
|
|
|
686 |
self assert:( 0.4 asQuadFloat truncatedAsFloat ) class == QuadFloat.
|
|
|
687 |
self assert:( 0.4 asQuadFloat truncatedAsFloat = 0.0 ).
|
|
|
688 |
self assert:( 0.5 asQuadFloat truncatedAsFloat = 0.0 ).
|
|
|
689 |
self assert:( 0.6 asQuadFloat truncatedAsFloat = 0.0 ).
|
|
|
690 |
self assert:( -0.4 asQuadFloat truncatedAsFloat = 0 ).
|
|
|
691 |
self assert:( -0.5 asQuadFloat truncatedAsFloat = 0.0 ).
|
|
|
692 |
self assert:( -0.6 asQuadFloat truncatedAsFloat = 0.0 ).
|
|
|
693 |
|
|
|
694 |
"
|
|
|
695 |
self basicNew test07_Truncation
|
|
|
696 |
"
|
|
|
697 |
|
|
2284
|
698 |
"Modified: / 08-06-2019 / 13:53:46 / Claus Gittinger"
|
|
2274
|
699 |
!
|
|
|
700 |
|
|
|
701 |
test08_Representation
|
|
2284
|
702 |
self skipIf:(ExternalAddress pointerSize == 4) description:'only supported on 64bit machines'.
|
|
2275
|
703 |
|
|
|
704 |
|
|
2274
|
705 |
self assert: (QuadFloat unity class == QuadFloat).
|
|
|
706 |
|
|
|
707 |
self assert: (QuadFloat unity = 1.0).
|
|
|
708 |
|
|
|
709 |
self assert: (QuadFloat zero class == QuadFloat).
|
|
|
710 |
|
|
|
711 |
self assert: (QuadFloat zero = 0.0).
|
|
|
712 |
|
|
|
713 |
self assert:( QuadFloat unity = 1 asLongFloat ).
|
|
|
714 |
|
|
|
715 |
self assert:( 0.0 asQuadFloat exponent = 0 ).
|
|
|
716 |
self assert:( 1.0 asQuadFloat exponent = 1 ).
|
|
|
717 |
self assert:( 2.0 asQuadFloat exponent = 2 ).
|
|
|
718 |
self assert:( 3.0 asQuadFloat exponent = 2 ).
|
|
|
719 |
self assert:( 4.0 asQuadFloat exponent = 3 ).
|
|
|
720 |
self assert:( 0.5 asQuadFloat exponent = 0 ).
|
|
|
721 |
self assert:( 0.4 asQuadFloat exponent = -1 ).
|
|
|
722 |
self assert:( 0.25 asQuadFloat exponent = -1 ).
|
|
|
723 |
self assert:( 0.125 asQuadFloat exponent = -2 ).
|
|
|
724 |
self assert:( 0.00000011111 asQuadFloat exponent = -23 ).
|
|
|
725 |
|
|
|
726 |
"
|
|
|
727 |
self basicNew test08_Representation
|
|
|
728 |
"
|
|
|
729 |
|
|
|
730 |
"Modified: / 02-08-2011 / 18:34:39 / cg"
|
|
2284
|
731 |
"Modified: / 08-06-2019 / 13:53:48 / Claus Gittinger"
|
|
2274
|
732 |
! !
|
|
|
733 |
|
|
|
734 |
!QuadFloatTest class methodsFor:'documentation'!
|
|
|
735 |
|
|
|
736 |
version_CVS
|
|
|
737 |
^ '$Header$'
|
|
|
738 |
! !
|
|
|
739 |
|