author | Claus Gittinger <cg@exept.de> |
Tue, 12 Apr 2016 12:26:00 +0200 | |
changeset 1390 | c4936312f2c6 |
parent 1348 | 8e03c5741d80 |
child 1391 | 5d74c367534c |
permissions | -rw-r--r-- |
192 | 1 |
"{ Package: 'exept:regression' }" |
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"{ NameSpace: RegressionTests }" |
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TestCase subclass:#FloatTest |
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instanceVariableNames:'' |
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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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!FloatTest 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 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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! ! |
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!FloatTest 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 assert: (Float unity class == Float). |
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self assert: (ShortFloat unity class == ShortFloat). |
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self assert: (LongFloat unity class == LongFloat). |
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self assert: (Float unity = 1.0). |
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self assert: (ShortFloat unity = 1.0). |
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self assert: (LongFloat unity = 1.0). |
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self assert: (Float zero class == Float). |
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self assert: (ShortFloat zero class == ShortFloat). |
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self assert: (LongFloat zero class == LongFloat). |
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self assert: (Float zero = 0.0). |
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self assert: (ShortFloat zero = 0.0). |
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self assert: (LongFloat zero = 0.0). |
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self assert:( (a := Float precision) = (b := self actualPrecisionOf:Float)) |
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description:('Float precision: %1 ~~ actual: %2' bindWith:a with:b). |
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self assert:( (a := ShortFloat precision) = (b := self actualPrecisionOf:ShortFloat)) |
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description:('ShortFloat precision: %1 ~~ actual: %2' bindWith:a with:b). |
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self assert:( (a := LongFloat precision) = (b := self actualPrecisionOf:LongFloat)) |
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description:('LongFloat 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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! |
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test01_Nan |
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"NaN in all avaliable formats." |
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|shouldBeFloatNaN shouldBeLongFloatNaN shouldBeShortFloatNaN| |
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shouldBeFloatNaN := 0.0 uncheckedDivide: 0.0. |
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self assert:( shouldBeFloatNaN isMemberOf:Float ). |
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self assert:( shouldBeFloatNaN isNaN ). |
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self assert:( shouldBeFloatNaN isFinite not ). |
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shouldBeShortFloatNaN := 0.0 asShortFloat uncheckedDivide: 0.0 asShortFloat. |
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self assert:( shouldBeShortFloatNaN isMemberOf:ShortFloat ). |
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self assert:( shouldBeShortFloatNaN isNaN ). |
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self assert:( shouldBeShortFloatNaN isFinite not ). |
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shouldBeLongFloatNaN := 0.0 asLongFloat uncheckedDivide: 0.0 asLongFloat. |
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self assert:( shouldBeLongFloatNaN isMemberOf:LongFloat ). |
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self assert:( shouldBeLongFloatNaN isNaN ). |
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self assert:( shouldBeLongFloatNaN isFinite not ). |
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shouldBeFloatNaN := 0.0 uncheckedDivide: 0.0. |
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self assert:( shouldBeFloatNaN asShortFloat isNaN ). |
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self assert:( shouldBeFloatNaN asLongFloat isNaN ). |
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shouldBeShortFloatNaN := 0.0 asShortFloat uncheckedDivide: 0.0. |
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self assert:( shouldBeShortFloatNaN asFloat isNaN ). |
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self assert:( shouldBeShortFloatNaN asLongFloat isNaN ). |
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shouldBeLongFloatNaN := 0.0 asLongFloat uncheckedDivide: 0.0. |
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self assert:( shouldBeLongFloatNaN asShortFloat isNaN ). |
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self assert:( shouldBeLongFloatNaN asLongFloat isNaN ). |
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shouldBeFloatNaN := 0.0 uncheckedDivide: 0.0. |
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self should:[ shouldBeFloatNaN asInteger ] raise:DomainError. |
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"/ mhmh - the following are not true (they silently return NaNs). |
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"/ self should:[ shouldBeFloatNaN + 1 ] raise:DomainError. |
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"/ self should:[ shouldBeFloatNaN + 1.0 ] raise:DomainError. |
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"/ self should:[ shouldBeFloatNaN + 1.0 asShortFloat ] raise:DomainError. |
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"/ self should:[ shouldBeFloatNaN + 1.0 asLongFloat ] raise:DomainError. |
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"/ |
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"/ self should:[ shouldBeFloatNaN - 1 ] raise:DomainError. |
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"/ self should:[ shouldBeFloatNaN - 1.0 ] raise:DomainError. |
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"/ self should:[ shouldBeFloatNaN - 1.0 asShortFloat ] raise:DomainError. |
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"/ self should:[ shouldBeFloatNaN - 1.0 asLongFloat ] raise:DomainError. |
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"/ but these are: |
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self assert:( shouldBeFloatNaN + 1 ) isNaN. |
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self assert:( shouldBeFloatNaN + 1.0 ) isNaN. |
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self assert:( shouldBeFloatNaN + 1.0 asShortFloat ) isNaN. |
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self assert:( shouldBeFloatNaN + 1.0 asLongFloat ) isNaN. |
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self assert:( shouldBeFloatNaN - 1 ) isNaN. |
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self assert:( shouldBeFloatNaN - 1.0 ) isNaN. |
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self assert:( shouldBeFloatNaN - 1.0 asShortFloat ) isNaN. |
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self assert:( shouldBeFloatNaN - 1.0 asLongFloat ) isNaN. |
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shouldBeShortFloatNaN := 0.0 asShortFloat uncheckedDivide: 0.0. |
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self should:[ shouldBeShortFloatNaN asInteger ] raise:DomainError. |
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self assert:( shouldBeShortFloatNaN + 1 ) isNaN. |
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self assert:( shouldBeShortFloatNaN + 1.0 ) isNaN. |
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self assert:( shouldBeShortFloatNaN + 1.0 asShortFloat ) isNaN. |
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self assert:( shouldBeShortFloatNaN + 1.0 asLongFloat ) isNaN. |
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self assert:( shouldBeShortFloatNaN - 1 ) isNaN. |
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self assert:( shouldBeShortFloatNaN - 1.0 ) isNaN. |
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self assert:( shouldBeShortFloatNaN - 1.0 asShortFloat ) isNaN. |
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self assert:( shouldBeShortFloatNaN - 1.0 asLongFloat ) isNaN. |
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shouldBeLongFloatNaN := 0.0 asLongFloat uncheckedDivide: 0.0. |
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self should:[ shouldBeLongFloatNaN asInteger ] raise:DomainError. |
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self assert:( shouldBeLongFloatNaN + 1 ) isNaN. |
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self assert:( shouldBeLongFloatNaN + 1.0 ) isNaN. |
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self assert:( shouldBeLongFloatNaN + 1.0 asShortFloat ) isNaN. |
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self assert:( shouldBeLongFloatNaN + 1.0 asLongFloat ) isNaN. |
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self assert:( shouldBeLongFloatNaN - 1 ) isNaN. |
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self assert:( shouldBeLongFloatNaN - 1.0 ) isNaN. |
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self assert:( shouldBeLongFloatNaN - 1.0 asShortFloat ) isNaN. |
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self assert:( shouldBeLongFloatNaN - 1.0 asLongFloat ) isNaN. |
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192 | 158 |
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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 value: 0.0. |
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check value: 1.0 asShortFloat value: 0.0 asShortFloat. |
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check value: 1.0 asLongFloat value: 0.0 asLongFloat. |
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"/ these are not guaranteed to work with uncheckedDivide... |
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"/ check value: 1.0 value: 0.0 asShortFloat. |
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"/ check value: 1.0 value: 0.0 asLongFloat. |
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"/ |
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"/ check value: 1.0 asShortFloat value: 0.0. |
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"/ check value: 1.0 asShortFloat value: 0.0 asLongFloat. |
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"/ |
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"/ check value: 1.0 asLongFloat value: 0.0 asShortFloat. |
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"/ check value: 1.0 asLongFloat value: 0.0. |
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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 asTrueFraction == 1 ). |
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self assert:( 2.0 asTrueFraction == 2 ). |
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self assert:( 4.0 asTrueFraction == 4 ). |
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self assert:( 8.0 asTrueFraction == 8 ). |
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self assert:( 16.0 asTrueFraction == 16 ). |
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self assert:( 1048576.0 asTrueFraction == 1048576 ). |
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self assert:( 0.5 asTrueFraction = (1/2) ). |
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self assert:( 0.25 asTrueFraction = (1/4) ). |
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self assert:( 0.125 asTrueFraction = (1/8) ). |
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self assert:( 1.0 asShortFloat asTrueFraction == 1 ). |
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self assert:( 2.0 asShortFloat asTrueFraction == 2 ). |
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self assert:( 4.0 asShortFloat asTrueFraction == 4 ). |
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self assert:( 8.0 asShortFloat asTrueFraction == 8 ). |
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self assert:( 16.0 asShortFloat asTrueFraction == 16 ). |
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self assert:( 1048576.0 asShortFloat asTrueFraction == 1048576 ). |
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self assert:( 0.5 asShortFloat asTrueFraction = (1/2) ). |
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self assert:( 0.25 asShortFloat asTrueFraction = (1/4) ). |
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self assert:( 0.125 asShortFloat asTrueFraction = (1/8) ). |
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self assert:( 1.0 asLongFloat asTrueFraction == 1 ). |
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self assert:( 2.0 asLongFloat asTrueFraction == 2 ). |
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self assert:( 4.0 asLongFloat asTrueFraction == 4 ). |
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self assert:( 8.0 asLongFloat asTrueFraction == 8 ). |
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self assert:( 16.0 asLongFloat asTrueFraction == 16 ). |
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self assert:( 1048576.0 asLongFloat asTrueFraction == 1048576 ). |
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self assert:( 0.5 asLongFloat asTrueFraction = (1/2) ). |
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self assert:( 0.25 asLongFloat asTrueFraction = (1/4) ). |
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self assert:( 0.125 asLongFloat asTrueFraction = (1/8) ). |
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self assert: ((5/9) asFloat - 0.555555555555) abs < 0.0000000001. |
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self assert: ((5/9) asLongFloat - 0.555555555555) abs < 0.0000000001. |
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self assert: ((Fraction basicNew setNumerator:500000000000 denominator:900000000000) |
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asLongFloat - 0.555555555555) abs < 0.000000000001. |
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self assert: ((Fraction basicNew setNumerator:500000000001 denominator:900000000000) |
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asLongFloat - 0.555555555555) abs >= 0.000000000001. |
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621 | 267 |
"/ under windows, a longFloat has only 10bytes with 64 bits precision |
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OperatingSystem isMSWINDOWSlike ifFalse:[ |
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self assert: (8901234567890123456 asLongFloat asInteger = 8901234567890123456). |
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self assert: (-8901234567890123456 asLongFloat asInteger = -8901234567890123456). |
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]. |
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self assert: (89012345678901234567 asLongFloat = 89012345678901234567). |
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self assert: (-89012345678901234567 asLongFloat = -89012345678901234567). |
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self assert: (89012345678901234567 negated asLongFloat = -89012345678901234567). |
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self assert: ((89012345678901234567 / 123456789123456789) asLongFloat - (89012345678901234567 asLongFloat / 123456789123456789 asLongFloat) ) abs < 0.000000000001. |
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self assert: ((-89012345678901234567 / 123456789123456789) asLongFloat - (-89012345678901234567 asLongFloat / 123456789123456789 asLongFloat)) abs < 0.000000000001. |
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192 | 279 |
" |
280 |
self basicNew test03_Conversion |
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" |
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621 | 282 |
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283 |
"Modified: / 09-08-2011 / 21:01:57 / cg" |
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192 | 284 |
! |
285 |
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286 |
test04_Arithmetic |
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self assert:( 1.0 + 1.0 ) class == Float. |
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self assert:( 1.0 + 1.0 asShortFloat) class == Float. |
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self assert:( 1.0 + 1.0 asLongFloat) class == LongFloat. |
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self assert:( 1.0 + 1) class == Float. |
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292 |
self assert:( 1.0 asShortFloat + 1.0 ) class == Float. |
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self assert:( 1.0 asShortFloat + 1.0 asShortFloat) class == ShortFloat. |
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self assert:( 1.0 asShortFloat + 1.0 asLongFloat) class == LongFloat. |
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self assert:( 1.0 asShortFloat + 1) class == ShortFloat. |
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297 |
self assert:( 1.0 asLongFloat + 1.0 ) class == LongFloat. |
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self assert:( 1.0 asLongFloat + 1.0 asShortFloat ) class == LongFloat. |
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self assert:( 1.0 asLongFloat + 1.0 asFloat ) class == LongFloat. |
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self assert:( 1.0 asLongFloat + 1 ) class == LongFloat. |
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301 |
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302 |
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303 |
self assert:( 1.0 - 1.0 ) class == Float. |
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self assert:( 1.0 - 1.0 asShortFloat) class == Float. |
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self assert:( 1.0 - 1.0 asLongFloat) class == LongFloat. |
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self assert:( 1.0 - 1) class == Float. |
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307 |
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308 |
self assert:( 1.0 asShortFloat - 1.0 ) class == Float. |
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self assert:( 1.0 asShortFloat - 1.0 asShortFloat) class == ShortFloat. |
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310 |
self assert:( 1.0 asShortFloat - 1.0 asLongFloat) class == LongFloat. |
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self assert:( 1.0 asShortFloat - 1) class == ShortFloat. |
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312 |
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313 |
self assert:( 1.0 asLongFloat - 1.0 ) class == LongFloat. |
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self assert:( 1.0 asLongFloat - 1.0 asShortFloat ) class == LongFloat. |
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315 |
self assert:( 1.0 asLongFloat - 1.0 asFloat ) class == LongFloat. |
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316 |
self assert:( 1.0 asLongFloat - 1 ) class == LongFloat. |
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317 |
||
318 |
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319 |
self assert:( 1.0 * 1.0 ) class == Float. |
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320 |
self assert:( 1.0 * 1.0 asShortFloat) class == Float. |
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321 |
self assert:( 1.0 * 1.0 asLongFloat) class == LongFloat. |
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322 |
self assert:( 1.0 * 1) class == Float. |
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323 |
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324 |
self assert:( 1.0 asShortFloat * 1.0 ) class == Float. |
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self assert:( 1.0 asShortFloat * 1.0 asShortFloat) class == ShortFloat. |
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326 |
self assert:( 1.0 asShortFloat * 1.0 asLongFloat) class == LongFloat. |
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327 |
self assert:( 1.0 asShortFloat * 1) class == ShortFloat. |
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328 |
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329 |
self assert:( 1.0 asLongFloat * 1.0 ) class == LongFloat. |
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330 |
self assert:( 1.0 asLongFloat * 1.0 asShortFloat ) class == LongFloat. |
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331 |
self assert:( 1.0 asLongFloat * 1.0 asFloat ) class == LongFloat. |
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332 |
self assert:( 1.0 asLongFloat * 1 ) class == LongFloat. |
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333 |
||
334 |
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335 |
self assert:( 1.0 / 1.0 ) class == Float. |
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336 |
self assert:( 1.0 / 1.0 asShortFloat) class == Float. |
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337 |
self assert:( 1.0 / 1.0 asLongFloat) class == LongFloat. |
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338 |
self assert:( 1.0 / 1) class == Float. |
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339 |
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340 |
self assert:( 1.0 asShortFloat / 1.0 ) class == Float. |
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341 |
self assert:( 1.0 asShortFloat / 1.0 asShortFloat) class == ShortFloat. |
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342 |
self assert:( 1.0 asShortFloat / 1.0 asLongFloat) class == LongFloat. |
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343 |
self assert:( 1.0 asShortFloat / 1) class == ShortFloat. |
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344 |
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345 |
self assert:( 1.0 asLongFloat / 1.0 ) class == LongFloat. |
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346 |
self assert:( 1.0 asLongFloat / 1.0 asShortFloat ) class == LongFloat. |
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347 |
self assert:( 1.0 asLongFloat / 1.0 asFloat ) class == LongFloat. |
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348 |
self assert:( 1.0 asLongFloat / 1 ) class == LongFloat. |
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349 |
||
755
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
350 |
self assert:( 5.0 rem: 2.0 ) class == Float. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
351 |
self assert:( 5.0 rem: 2.0 asShortFloat) class == Float. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
352 |
self assert:( 5.0 rem: 2.0 asLongFloat) class == LongFloat. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
353 |
self assert:( 5.0 rem: 2) class == Float. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
354 |
|
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
355 |
self assert:( 5.0 asShortFloat rem: 2.0 ) class == Float. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
356 |
self assert:( 5.0 asShortFloat rem: 2.0 asShortFloat) class == ShortFloat. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
357 |
self assert:( 5.0 asShortFloat rem: 2.0 asLongFloat) class == LongFloat. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
358 |
self assert:( 5.0 asShortFloat rem: 2) class == ShortFloat. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
359 |
|
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
360 |
self assert:( 5.0 asLongFloat rem: 2.0 ) class == LongFloat. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
361 |
self assert:( 5.0 asLongFloat rem: 2.0 asShortFloat ) class == LongFloat. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
362 |
self assert:( 5.0 asLongFloat rem: 2.0 asFloat ) class == LongFloat. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
363 |
self assert:( 5.0 asLongFloat rem: 2 ) class == LongFloat. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
364 |
|
192 | 365 |
" |
366 |
self basicNew test04_Arithmetic |
|
367 |
" |
|
368 |
! |
|
369 |
||
370 |
test05_Comparing |
|
203 | 371 |
|check v1 v2 v1b| |
372 |
||
373 |
check := [:iv1 :iv2| |
|
374 |
#(yourself asInteger asFloat asShortFloat asLongFloat asLargeFloat) do:[:conv1 | |
|
375 |
v1 := (iv1 perform:conv1). |
|
192 | 376 |
|
203 | 377 |
self assert:( v1 = nil ) not. |
378 |
self assert:( nil = v1 ) not. |
|
379 |
self assert:( v1 ~= nil ). |
|
380 |
self assert:( nil ~= v1 ). |
|
381 |
||
382 |
#(yourself asInteger asFloat asShortFloat asLongFloat asLargeFloat) do:[:conv2 | |
|
383 |
v1b := (iv1 perform:conv2). |
|
384 |
||
385 |
self assert:( v1 = v1b ). |
|
386 |
self assert:( v1 <= v1b ). |
|
387 |
self assert:( v1 >= v1b ). |
|
192 | 388 |
|
203 | 389 |
v2 := (iv2 perform:conv2). |
192 | 390 |
|
203 | 391 |
self assert:( v1 < v2 ). |
392 |
self assert:( v1 <= v2 ). |
|
393 |
self assert:( v2 >= v1 ). |
|
394 |
self assert:( v2 > v1 ). |
|
395 |
] |
|
396 |
]. |
|
397 |
]. |
|
398 |
||
399 |
check value:2 value:3. |
|
400 |
check value:0 value:1. |
|
401 |
check value:-1 value:0. |
|
402 |
check value:-3 value:-2. |
|
403 |
check value:-3 value:3. |
|
404 |
||
405 |
check value:-30 value:1. |
|
406 |
check value:-1 value:30. |
|
192 | 407 |
|
263 | 408 |
self assert:( 200000000000000000000.0 = 200000000000000000001 ). |
409 |
||
200 | 410 |
self assert:( 200000000000000000000.0 = 200000000000000000000 ). |
411 |
self assert:( 200000000000000000000.0 asLongFloat = 200000000000000000000 ). |
|
203 | 412 |
self assert:( 2000000.0 asShortFloat = 2000000 ). |
200 | 413 |
|
414 |
self assert:( 200000000000000000000 = 200000000000000000000.0). |
|
415 |
self assert:( 200000000000000000000 = 200000000000000000000.0 asLongFloat ). |
|
203 | 416 |
self assert:( 2000000 = 2000000.0 asShortFloat ). |
200 | 417 |
|
418 |
||
419 |
self assert:( 200000000000000000000.0 < 200000100000000000000 ). |
|
202 | 420 |
self assert:( 200000000000000000000.0 asLongFloat < 200000000000100000000 ). |
200 | 421 |
self assert:( 200000000000000000000.0 asShortFloat < 200001000000000000000 ). |
422 |
||
423 |
self assert:( 200000000000000000000 < 200001000000000000000.0). |
|
424 |
self assert:( 200000000000000000000 < 200001000000000000000.0 asLongFloat ). |
|
425 |
self assert:( 200000000000000000000 < 200001000000000000000.0 asShortFloat ). |
|
426 |
||
427 |
||
428 |
self assert:( 200000000000000000000.0 <= 200000100000000000000 ). |
|
429 |
self assert:( 200000000000000000000.0 <= 200000000000000000000 ). |
|
430 |
self assert:( 200000000000000000000.0 asLongFloat <= 200000000000000000001 ). |
|
431 |
self assert:( 200000000000000000000.0 asLongFloat <= 200000000000000000000 ). |
|
203 | 432 |
self assert:( 2000000.0 asShortFloat <= 200000100000000000000 ). |
433 |
self assert:( 2000000.0 asShortFloat <= 2000000 ). |
|
200 | 434 |
|
435 |
self assert:( 200000000000000000000 <= 200001000000000000000.0). |
|
436 |
self assert:( 200000000000000000000 <= 200000000000000000000.0). |
|
437 |
self assert:( 200000000000000000000 <= 200001000000000000000.0 asLongFloat ). |
|
438 |
self assert:( 200000000000000000000 <= 200000000000000000000.0 asLongFloat ). |
|
203 | 439 |
self assert:( 2000000 <= 2000000.0 asShortFloat ). |
440 |
self assert:( 2000000 <= 2000000.0 asShortFloat ). |
|
200 | 441 |
|
192 | 442 |
" |
443 |
self basicNew test05_Comparing |
|
444 |
" |
|
445 |
! |
|
446 |
||
447 |
test06_MiscMath |
|
263 | 448 |
|epsilon| |
449 |
||
450 |
epsilon := 0.000001. |
|
451 |
||
192 | 452 |
#( |
263 | 453 |
sqrt 0.5 0.707107 |
454 |
exp 0.5 1.64872 |
|
455 |
ln 0.5 -0.693147 |
|
456 |
log10 0.5 -0.30103 |
|
457 |
||
458 |
sin 0.5 0.479426 |
|
459 |
cos 0.5 0.877583 |
|
460 |
tan 0.5 0.546302 |
|
461 |
arcSin 0.5 0.523599 |
|
462 |
arcCos 0.5 1.0472 |
|
463 |
arcTan 0.5 0.463648 |
|
464 |
sinh 0.5 0.521095 |
|
465 |
cosh 0.5 1.12763 |
|
466 |
tanh 0.5 0.462117 |
|
467 |
arcSinh 0.5 0.481212 |
|
468 |
arcCosh 1.5 1.24983 |
|
469 |
arcTanh 0.5 0.549306 |
|
470 |
||
471 |
sin 0.0 0.0 |
|
472 |
cos 0.0 1.0 |
|
473 |
tan 0.0 0.0 |
|
474 |
sinh 0.0 0.0 |
|
475 |
cosh 0.0 1.0 |
|
476 |
tanh 0.0 0.0 |
|
477 |
||
478 |
sin 1.0 0.841471 |
|
479 |
cos 1.0 0.540302 |
|
480 |
tan 1.0 1.55741 |
|
481 |
sinh 1.0 1.1752 |
|
482 |
cosh 1.0 1.54308 |
|
483 |
tanh 1.0 0.761594 |
|
484 |
||
485 |
sin 3.14159 0.0 |
|
486 |
cos 3.14159 -1.0 |
|
487 |
tan 3.14159 0.0 |
|
488 |
sinh 3.14159 11.5487 |
|
489 |
cosh 3.14159 11.5919 |
|
490 |
tanh 3.14159 0.996272 |
|
491 |
||
492 |
||
493 |
tan 0.785398 1.0 "pi/4 -> should be 1" |
|
494 |
arcCos -1.0 3.14159 "should be pi" |
|
495 |
arcSin 1.0 1.5708 "should be pi/2 (1.5708)" |
|
496 |
arcTan 1.0 0.785398 "should be pi/4 (.785398)" |
|
497 |
) inGroupsOf:3 do:[:op :x :expected| |
|
498 |
|rslt rsltShortFloat rsltLongFloat rsltLargeFloat| |
|
499 |
||
500 |
rslt := x perform:op. |
|
501 |
rsltShortFloat := x asShortFloat perform:op. |
|
502 |
rsltLongFloat := x asLongFloat perform:op. |
|
503 |
"/ rsltLargeFloat := arg asLargeFloat perform:op. |
|
504 |
||
505 |
self assert:(rslt class == Float). |
|
1321 | 506 |
"/ self assert:(rsltShortFloat class == Float). "/ ??? not a good test; some return a float |
263 | 507 |
self assert:(rsltLongFloat class == LongFloat). |
508 |
||
509 |
self assert:( rslt - rsltShortFloat ) < epsilon. |
|
510 |
self assert:( rslt - rsltLongFloat ) < epsilon. |
|
511 |
"/ self assert:( rslt - rsltLargeFloat ) < epsilon. |
|
512 |
self assert:( rslt - rslt asShortFloat ) < epsilon. |
|
513 |
self assert:( rslt - rslt asLongFloat ) < epsilon. |
|
514 |
"/ self assert:( rslt - rslt asLargeFloat ) < epsilon. |
|
515 |
]. |
|
516 |
||
517 |
self should:[ -2 arcSin ] raise:DomainError. |
|
518 |
self should:[ -2 arcCos ] raise:DomainError. |
|
519 |
self should:[ -1 arcTanh ] raise:DomainError. |
|
203 | 520 |
|
263 | 521 |
#( |
522 |
0.0 |
|
523 |
0.5 |
|
524 |
1.0 |
|
525 |
2.0 |
|
526 |
1.57079 |
|
527 |
) do:[:x | |
|
528 |
self assert:( x sin arcSin - x < epsilon). |
|
529 |
self assert:( x cos arcCos - x < epsilon). |
|
530 |
self assert:( x tan arcTan - x < epsilon). |
|
531 |
]. |
|
203 | 532 |
|
263 | 533 |
#( |
534 |
-1.0 |
|
535 |
-0.5 |
|
536 |
0.0 |
|
537 |
0.5 |
|
538 |
1.0 |
|
539 |
) do:[:x | |
|
540 |
self assert:( x arcSin sin - x < epsilon). |
|
541 |
self assert:( x arcCos cos - x < epsilon). |
|
542 |
self assert:( x arcTan tan - x < epsilon). |
|
543 |
]. |
|
203 | 544 |
|
263 | 545 |
#( |
546 |
0.0 |
|
547 |
0.5 |
|
548 |
1.0 |
|
549 |
2.0 |
|
550 |
10 |
|
551 |
) do:[:x | |
|
552 |
self assert:( x cosh arcCosh - x < epsilon). |
|
553 |
]. |
|
554 |
#( |
|
555 |
-10 |
|
556 |
-2 |
|
557 |
-1 |
|
558 |
-0.5 |
|
559 |
0.0 |
|
560 |
0.5 |
|
561 |
1.0 |
|
562 |
2.0 |
|
563 |
10 |
|
564 |
) do:[:x | |
|
565 |
self assert:( x sinh arcSinh - x < epsilon). |
|
566 |
self assert:( x tanh arcTanh - x < epsilon). |
|
567 |
]. |
|
568 |
||
198 | 569 |
|
263 | 570 |
#( |
571 |
-0.99 |
|
572 |
-0.5 |
|
573 |
0.0 |
|
574 |
0.5 |
|
575 |
0.99 |
|
576 |
) do:[:x | |
|
577 |
self assert:( x arcTanh - (( ( (1+x)/(1-x) ) ln ) / 2 ) ) < epsilon. |
|
578 |
]. |
|
579 |
||
580 |
#( |
|
581 |
-10 |
|
582 |
-5 |
|
583 |
-2.0 |
|
584 |
-1.0 |
|
585 |
0.0 |
|
586 |
1.0 |
|
587 |
2.0 |
|
588 |
10 |
|
589 |
) do:[:x | |
|
590 |
self assert:( x arcSinh sinh - x < epsilon). |
|
591 |
]. |
|
592 |
||
593 |
#( |
|
594 |
1.0 |
|
595 |
2.0 |
|
596 |
10.0 |
|
597 |
) do:[:x | |
|
598 |
self assert:( x arcCosh cosh - x < epsilon). |
|
198 | 599 |
]. |
192 | 600 |
|
601 |
" |
|
602 |
self basicNew test06_MiscMath |
|
603 |
" |
|
1321 | 604 |
|
605 |
"Modified (comment): / 27-02-2016 / 00:33:20 / cg" |
|
192 | 606 |
! |
607 |
||
608 |
test07_Truncation |
|
609 |
|check| |
|
610 |
||
611 |
check := [:num | |
|
612 |
self assert:( num fractionPart + num truncated ) = num. |
|
613 |
self assert:( num fractionPart + num truncated ) class == num class. |
|
614 |
]. |
|
615 |
||
616 |
check value:1.6. |
|
617 |
check value:-1.6. |
|
618 |
||
619 |
check value:1.6 asShortFloat. |
|
620 |
check value:-1.6 asShortFloat. |
|
621 |
||
622 |
check value:1.6 asLongFloat. |
|
623 |
check value:-1.6 asLongFloat. |
|
624 |
||
625 |
||
626 |
self assert:( 1.6 ceiling ) = 2. |
|
627 |
self assert:( 1.6 asShortFloat ceiling ) = 2. |
|
628 |
self assert:( 1.6 asLongFloat ceiling ) = 2. |
|
629 |
||
630 |
self assert:( 1.6 ceilingAsFloat ) = 2.0. |
|
631 |
self assert:( 1.6 ceilingAsFloat ) class == Float. |
|
632 |
self assert:( 1.6 asShortFloat ceilingAsFloat ) = 2.0 asShortFloat. |
|
633 |
self assert:( 1.6 asShortFloat ceilingAsFloat ) class == ShortFloat. |
|
634 |
self assert:( 1.6 asLongFloat ceilingAsFloat ) = 2.0 asLongFloat. |
|
635 |
self assert:( 1.6 asLongFloat ceilingAsFloat ) class == LongFloat. |
|
636 |
||
637 |
||
638 |
self assert:( 1.6 floor ) = 1. |
|
639 |
self assert:( 1.6 asShortFloat floor ) = 1. |
|
640 |
self assert:( 1.6 asLongFloat floor ) = 1. |
|
641 |
||
642 |
self assert:( 1.6 floorAsFloat ) = 1.0. |
|
643 |
self assert:( 1.6 floorAsFloat ) class == Float. |
|
644 |
self assert:( 1.6 asShortFloat floorAsFloat ) = 1.0 asShortFloat. |
|
645 |
self assert:( 1.6 asShortFloat floorAsFloat ) class == ShortFloat. |
|
646 |
self assert:( 1.6 asLongFloat floorAsFloat ) = 1.0 asLongFloat. |
|
647 |
self assert:( 1.6 asLongFloat floorAsFloat ) class == LongFloat. |
|
648 |
||
649 |
||
650 |
self assert:( 0.4 rounded ) class == SmallInteger. |
|
651 |
self assert:( 0.4 rounded = 0 ). |
|
652 |
self assert:( 0.5 rounded = 1 ). |
|
653 |
self assert:( 0.6 rounded = 1 ). |
|
654 |
self assert:( -0.4 rounded = 0 ). |
|
655 |
self assert:( -0.5 rounded = -1 ). |
|
656 |
self assert:( -0.6 rounded = -1 ). |
|
657 |
||
658 |
self assert:( 0.4 roundedAsFloat ) class == Float. |
|
659 |
self assert:( 0.4 roundedAsFloat = 0.0 ). |
|
660 |
self assert:( 0.5 roundedAsFloat = 1.0 ). |
|
661 |
self assert:( 0.6 roundedAsFloat = 1.0 ). |
|
662 |
self assert:( -0.4 roundedAsFloat = 0 ). |
|
663 |
self assert:( -0.5 roundedAsFloat = -1.0 ). |
|
664 |
self assert:( -0.6 roundedAsFloat = -1.0 ). |
|
665 |
||
666 |
self assert:( 0.4 asShortFloat rounded ) class == SmallInteger. |
|
667 |
self assert:( 0.4 asShortFloat rounded = 0 ). |
|
668 |
self assert:( 0.5 asShortFloat rounded = 1 ). |
|
669 |
self assert:( 0.6 asShortFloat rounded = 1 ). |
|
670 |
self assert:( -0.4 asShortFloat rounded = 0 ). |
|
671 |
self assert:( -0.5 asShortFloat rounded = -1 ). |
|
672 |
self assert:( -0.6 asShortFloat rounded = -1 ). |
|
673 |
||
674 |
self assert:( 0.4 asShortFloat roundedAsFloat ) class == ShortFloat. |
|
675 |
self assert:( 0.4 asShortFloat roundedAsFloat = 0.0 ). |
|
676 |
self assert:( 0.5 asShortFloat roundedAsFloat = 1.0 ). |
|
677 |
self assert:( 0.6 asShortFloat roundedAsFloat = 1.0 ). |
|
678 |
self assert:( -0.4 asShortFloat roundedAsFloat = 0 ). |
|
679 |
self assert:( -0.5 asShortFloat roundedAsFloat = -1.0 ). |
|
680 |
self assert:( -0.6 asShortFloat roundedAsFloat = -1.0 ). |
|
681 |
||
682 |
self assert:( 0.4 asLongFloat rounded ) class == SmallInteger. |
|
683 |
self assert:( 0.4 asLongFloat rounded = 0 ). |
|
684 |
self assert:( 0.5 asLongFloat rounded = 1 ). |
|
685 |
self assert:( 0.6 asLongFloat rounded = 1 ). |
|
686 |
self assert:( -0.4 asLongFloat rounded = 0 ). |
|
687 |
self assert:( -0.5 asLongFloat rounded = -1 ). |
|
688 |
self assert:( -0.6 asLongFloat rounded = -1 ). |
|
689 |
||
690 |
self assert:( 0.4 asLongFloat roundedAsFloat ) class == LongFloat. |
|
691 |
self assert:( 0.4 asLongFloat roundedAsFloat = 0.0 ). |
|
692 |
self assert:( 0.5 asLongFloat roundedAsFloat = 1.0 ). |
|
693 |
self assert:( 0.6 asLongFloat roundedAsFloat = 1.0 ). |
|
694 |
self assert:( -0.4 asLongFloat roundedAsFloat = 0 ). |
|
695 |
self assert:( -0.5 asLongFloat roundedAsFloat = -1.0 ). |
|
696 |
self assert:( -0.6 asLongFloat roundedAsFloat = -1.0 ). |
|
697 |
||
698 |
self assert:( 0.4 truncated ) class == SmallInteger. |
|
699 |
self assert:( 0.4 truncated = 0 ). |
|
700 |
self assert:( 0.5 truncated = 0 ). |
|
701 |
self assert:( 0.6 truncated = 0 ). |
|
702 |
self assert:( -0.4 truncated = 0 ). |
|
703 |
self assert:( -0.5 truncated = 0 ). |
|
704 |
self assert:( -0.6 truncated = 0 ). |
|
705 |
||
706 |
self assert:( 0.4 truncatedAsFloat ) class == Float. |
|
707 |
self assert:( 0.4 truncatedAsFloat = 0.0 ). |
|
708 |
self assert:( 0.5 truncatedAsFloat = 0.0 ). |
|
709 |
self assert:( 0.6 truncatedAsFloat = 0.0 ). |
|
710 |
self assert:( -0.4 truncatedAsFloat = 0 ). |
|
711 |
self assert:( -0.5 truncatedAsFloat = 0.0 ). |
|
712 |
self assert:( -0.6 truncatedAsFloat = 0.0 ). |
|
713 |
||
714 |
self assert:( 0.4 asShortFloat truncated ) class == SmallInteger. |
|
715 |
self assert:( 0.4 asShortFloat truncated = 0 ). |
|
716 |
self assert:( 0.5 asShortFloat truncated = 0 ). |
|
717 |
self assert:( 0.6 asShortFloat truncated = 0 ). |
|
718 |
self assert:( -0.4 asShortFloat truncated = 0 ). |
|
719 |
self assert:( -0.5 asShortFloat truncated = 0 ). |
|
720 |
self assert:( -0.6 asShortFloat truncated = 0 ). |
|
721 |
||
722 |
self assert:( 0.4 asShortFloat truncatedAsFloat ) class == ShortFloat. |
|
723 |
self assert:( 0.4 asShortFloat truncatedAsFloat = 0.0 ). |
|
724 |
self assert:( 0.5 asShortFloat truncatedAsFloat = 0.0 ). |
|
725 |
self assert:( 0.6 asShortFloat truncatedAsFloat = 0.0 ). |
|
726 |
self assert:( -0.4 asShortFloat truncatedAsFloat = 0 ). |
|
727 |
self assert:( -0.5 asShortFloat truncatedAsFloat = 0.0 ). |
|
728 |
self assert:( -0.6 asShortFloat truncatedAsFloat = 0.0 ). |
|
729 |
||
730 |
self assert:( 0.4 asLongFloat truncated ) class == SmallInteger. |
|
731 |
self assert:( 0.4 asLongFloat truncated = 0 ). |
|
732 |
self assert:( 0.5 asLongFloat truncated = 0 ). |
|
733 |
self assert:( 0.6 asLongFloat truncated = 0 ). |
|
734 |
self assert:( -0.4 asLongFloat truncated = 0 ). |
|
735 |
self assert:( -0.5 asLongFloat truncated = 0 ). |
|
736 |
self assert:( -0.6 asLongFloat truncated = 0 ). |
|
737 |
||
738 |
self assert:( 0.4 asLongFloat truncatedAsFloat ) class == LongFloat. |
|
739 |
self assert:( 0.4 asLongFloat truncatedAsFloat = 0.0 ). |
|
740 |
self assert:( 0.5 asLongFloat truncatedAsFloat = 0.0 ). |
|
741 |
self assert:( 0.6 asLongFloat truncatedAsFloat = 0.0 ). |
|
742 |
self assert:( -0.4 asLongFloat truncatedAsFloat = 0 ). |
|
743 |
self assert:( -0.5 asLongFloat truncatedAsFloat = 0.0 ). |
|
744 |
self assert:( -0.6 asLongFloat truncatedAsFloat = 0.0 ). |
|
745 |
||
746 |
" |
|
747 |
self basicNew test07_Truncation |
|
748 |
" |
|
197 | 749 |
! |
750 |
||
751 |
test08_Representation |
|
752 |
self assert:( 0.0 exponent = 0 ). |
|
753 |
self assert:( 1.0 exponent = 1 ). |
|
754 |
self assert:( 2.0 exponent = 2 ). |
|
755 |
self assert:( 3.0 exponent = 2 ). |
|
756 |
self assert:( 4.0 exponent = 3 ). |
|
757 |
self assert:( 0.5 exponent = 0 ). |
|
758 |
self assert:( 0.4 exponent = -1 ). |
|
759 |
self assert:( 0.25 exponent = -1 ). |
|
760 |
self assert:( 0.125 exponent = -2 ). |
|
761 |
self assert:( 0.00000011111 exponent = -23 ). |
|
762 |
||
763 |
self assert:( 0.0 asShortFloat exponent = 0 ). |
|
764 |
self assert:( 1.0 asShortFloat exponent = 1 ). |
|
765 |
self assert:( 2.0 asShortFloat exponent = 2 ). |
|
766 |
self assert:( 3.0 asShortFloat exponent = 2 ). |
|
767 |
self assert:( 4.0 asShortFloat exponent = 3 ). |
|
768 |
self assert:( 0.5 asShortFloat exponent = 0 ). |
|
769 |
self assert:( 0.4 asShortFloat exponent = -1 ). |
|
770 |
self assert:( 0.25 asShortFloat exponent = -1 ). |
|
771 |
self assert:( 0.125 asShortFloat exponent = -2 ). |
|
772 |
self assert:( 0.00000011111 asShortFloat exponent = -23 ). |
|
773 |
||
774 |
self assert:( 0.0 asLongFloat exponent = 0 ). |
|
775 |
self assert:( 1.0 asLongFloat exponent = 1 ). |
|
776 |
self assert:( 2.0 asLongFloat exponent = 2 ). |
|
777 |
self assert:( 3.0 asLongFloat exponent = 2 ). |
|
778 |
self assert:( 4.0 asLongFloat exponent = 3 ). |
|
779 |
self assert:( 0.5 asLongFloat exponent = 0 ). |
|
780 |
self assert:( 0.4 asLongFloat exponent = -1 ). |
|
781 |
self assert:( 0.25 asLongFloat exponent = -1 ). |
|
782 |
self assert:( 0.125 asLongFloat exponent = -2 ). |
|
783 |
self assert:( 0.00000011111 asLongFloat exponent = -23 ). |
|
784 |
||
604 | 785 |
self assert:( LongFloat unity = 1 asLongFloat ). |
786 |
self assert:( ShortFloat unity = 1 asShortFloat ). |
|
787 |
self assert:( Float unity = 1 asFloat ). |
|
788 |
||
197 | 789 |
" |
790 |
self basicNew test08_Representation |
|
791 |
" |
|
604 | 792 |
|
793 |
"Modified: / 02-08-2011 / 18:34:39 / cg" |
|
192 | 794 |
! ! |
795 |
||
796 |
!FloatTest class methodsFor:'documentation'! |
|
797 |
||
798 |
version |
|
799 |
^ '$Header$' |
|
756
0fcddf68c5a4
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
755
diff
changeset
|
800 |
! |
0fcddf68c5a4
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
755
diff
changeset
|
801 |
|
0fcddf68c5a4
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
755
diff
changeset
|
802 |
version_CVS |
0fcddf68c5a4
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
755
diff
changeset
|
803 |
^ '$Header$' |
192 | 804 |
! ! |
755
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
805 |