author | Claus Gittinger <cg@exept.de> |
Sat, 01 Mar 2014 14:58:08 +0100 | |
changeset 1067 | 19eb2f83912d |
parent 756 | 0fcddf68c5a4 |
child 1321 | 8c3597ef29a3 |
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:( (a := Float precision) = (b := self actualPrecisionOf:Float)). |
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self assert:( (a := ShortFloat precision) = (b := self actualPrecisionOf:ShortFloat)). |
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self assert:( (a := LongFloat precision) = (b := self actualPrecisionOf:LongFloat)). |
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" |
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self basicNew test00_Precision |
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" |
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665 | 52 |
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"Modified: / 03-05-2012 / 18:47:21 / cg" |
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194 | 54 |
! |
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192 | 56 |
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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192 | 70 |
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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 | 139 |
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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. |
192 | 154 |
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203 | 155 |
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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192 | 165 |
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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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192 | 189 |
]. |
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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 | 248 |
"/ under windows, a longFloat has only 10bytes with 64 bits precision |
249 |
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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203 | 253 |
self assert: (89012345678901234567 asLongFloat = 89012345678901234567). |
254 |
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 | 260 |
" |
261 |
self basicNew test03_Conversion |
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" |
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621 | 263 |
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264 |
"Modified: / 09-08-2011 / 21:01:57 / cg" |
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192 | 265 |
! |
266 |
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267 |
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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272 |
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273 |
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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278 |
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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280 |
self assert:( 1.0 asLongFloat + 1.0 asFloat ) class == LongFloat. |
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281 |
self assert:( 1.0 asLongFloat + 1 ) class == LongFloat. |
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282 |
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283 |
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284 |
self assert:( 1.0 - 1.0 ) class == Float. |
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285 |
self assert:( 1.0 - 1.0 asShortFloat) class == Float. |
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286 |
self assert:( 1.0 - 1.0 asLongFloat) class == LongFloat. |
|
287 |
self assert:( 1.0 - 1) class == Float. |
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288 |
||
289 |
self assert:( 1.0 asShortFloat - 1.0 ) class == Float. |
|
290 |
self assert:( 1.0 asShortFloat - 1.0 asShortFloat) class == ShortFloat. |
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291 |
self assert:( 1.0 asShortFloat - 1.0 asLongFloat) class == LongFloat. |
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292 |
self assert:( 1.0 asShortFloat - 1) class == ShortFloat. |
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293 |
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294 |
self assert:( 1.0 asLongFloat - 1.0 ) class == LongFloat. |
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295 |
self assert:( 1.0 asLongFloat - 1.0 asShortFloat ) class == LongFloat. |
|
296 |
self assert:( 1.0 asLongFloat - 1.0 asFloat ) class == LongFloat. |
|
297 |
self assert:( 1.0 asLongFloat - 1 ) class == LongFloat. |
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298 |
||
299 |
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300 |
self assert:( 1.0 * 1.0 ) class == Float. |
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301 |
self assert:( 1.0 * 1.0 asShortFloat) class == Float. |
|
302 |
self assert:( 1.0 * 1.0 asLongFloat) class == LongFloat. |
|
303 |
self assert:( 1.0 * 1) class == Float. |
|
304 |
||
305 |
self assert:( 1.0 asShortFloat * 1.0 ) class == Float. |
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306 |
self assert:( 1.0 asShortFloat * 1.0 asShortFloat) class == ShortFloat. |
|
307 |
self assert:( 1.0 asShortFloat * 1.0 asLongFloat) class == LongFloat. |
|
308 |
self assert:( 1.0 asShortFloat * 1) class == ShortFloat. |
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309 |
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310 |
self assert:( 1.0 asLongFloat * 1.0 ) class == LongFloat. |
|
311 |
self assert:( 1.0 asLongFloat * 1.0 asShortFloat ) class == LongFloat. |
|
312 |
self assert:( 1.0 asLongFloat * 1.0 asFloat ) class == LongFloat. |
|
313 |
self assert:( 1.0 asLongFloat * 1 ) class == LongFloat. |
|
314 |
||
315 |
||
316 |
self assert:( 1.0 / 1.0 ) class == Float. |
|
317 |
self assert:( 1.0 / 1.0 asShortFloat) class == Float. |
|
318 |
self assert:( 1.0 / 1.0 asLongFloat) class == LongFloat. |
|
319 |
self assert:( 1.0 / 1) class == Float. |
|
320 |
||
321 |
self assert:( 1.0 asShortFloat / 1.0 ) class == Float. |
|
322 |
self assert:( 1.0 asShortFloat / 1.0 asShortFloat) class == ShortFloat. |
|
323 |
self assert:( 1.0 asShortFloat / 1.0 asLongFloat) class == LongFloat. |
|
324 |
self assert:( 1.0 asShortFloat / 1) class == ShortFloat. |
|
325 |
||
326 |
self assert:( 1.0 asLongFloat / 1.0 ) class == LongFloat. |
|
327 |
self assert:( 1.0 asLongFloat / 1.0 asShortFloat ) class == LongFloat. |
|
328 |
self assert:( 1.0 asLongFloat / 1.0 asFloat ) class == LongFloat. |
|
329 |
self assert:( 1.0 asLongFloat / 1 ) class == LongFloat. |
|
330 |
||
755
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
331 |
self assert:( 5.0 rem: 2.0 ) class == Float. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
332 |
self assert:( 5.0 rem: 2.0 asShortFloat) class == Float. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
333 |
self assert:( 5.0 rem: 2.0 asLongFloat) class == LongFloat. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
334 |
self assert:( 5.0 rem: 2) class == Float. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
335 |
|
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
336 |
self assert:( 5.0 asShortFloat rem: 2.0 ) class == Float. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
337 |
self assert:( 5.0 asShortFloat rem: 2.0 asShortFloat) class == ShortFloat. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
338 |
self assert:( 5.0 asShortFloat rem: 2.0 asLongFloat) class == LongFloat. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
339 |
self assert:( 5.0 asShortFloat rem: 2) class == ShortFloat. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
340 |
|
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
341 |
self assert:( 5.0 asLongFloat rem: 2.0 ) class == LongFloat. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
342 |
self assert:( 5.0 asLongFloat rem: 2.0 asShortFloat ) class == LongFloat. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
343 |
self assert:( 5.0 asLongFloat rem: 2.0 asFloat ) class == LongFloat. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
344 |
self assert:( 5.0 asLongFloat rem: 2 ) class == LongFloat. |
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
345 |
|
192 | 346 |
" |
347 |
self basicNew test04_Arithmetic |
|
348 |
" |
|
349 |
! |
|
350 |
||
351 |
test05_Comparing |
|
203 | 352 |
|check v1 v2 v1b| |
353 |
||
354 |
check := [:iv1 :iv2| |
|
355 |
#(yourself asInteger asFloat asShortFloat asLongFloat asLargeFloat) do:[:conv1 | |
|
356 |
v1 := (iv1 perform:conv1). |
|
192 | 357 |
|
203 | 358 |
self assert:( v1 = nil ) not. |
359 |
self assert:( nil = v1 ) not. |
|
360 |
self assert:( v1 ~= nil ). |
|
361 |
self assert:( nil ~= v1 ). |
|
362 |
||
363 |
#(yourself asInteger asFloat asShortFloat asLongFloat asLargeFloat) do:[:conv2 | |
|
364 |
v1b := (iv1 perform:conv2). |
|
365 |
||
366 |
self assert:( v1 = v1b ). |
|
367 |
self assert:( v1 <= v1b ). |
|
368 |
self assert:( v1 >= v1b ). |
|
192 | 369 |
|
203 | 370 |
v2 := (iv2 perform:conv2). |
192 | 371 |
|
203 | 372 |
self assert:( v1 < v2 ). |
373 |
self assert:( v1 <= v2 ). |
|
374 |
self assert:( v2 >= v1 ). |
|
375 |
self assert:( v2 > v1 ). |
|
376 |
] |
|
377 |
]. |
|
378 |
]. |
|
379 |
||
380 |
check value:2 value:3. |
|
381 |
check value:0 value:1. |
|
382 |
check value:-1 value:0. |
|
383 |
check value:-3 value:-2. |
|
384 |
check value:-3 value:3. |
|
385 |
||
386 |
check value:-30 value:1. |
|
387 |
check value:-1 value:30. |
|
192 | 388 |
|
263 | 389 |
self assert:( 200000000000000000000.0 = 200000000000000000001 ). |
390 |
||
200 | 391 |
self assert:( 200000000000000000000.0 = 200000000000000000000 ). |
392 |
self assert:( 200000000000000000000.0 asLongFloat = 200000000000000000000 ). |
|
203 | 393 |
self assert:( 2000000.0 asShortFloat = 2000000 ). |
200 | 394 |
|
395 |
self assert:( 200000000000000000000 = 200000000000000000000.0). |
|
396 |
self assert:( 200000000000000000000 = 200000000000000000000.0 asLongFloat ). |
|
203 | 397 |
self assert:( 2000000 = 2000000.0 asShortFloat ). |
200 | 398 |
|
399 |
||
400 |
self assert:( 200000000000000000000.0 < 200000100000000000000 ). |
|
202 | 401 |
self assert:( 200000000000000000000.0 asLongFloat < 200000000000100000000 ). |
200 | 402 |
self assert:( 200000000000000000000.0 asShortFloat < 200001000000000000000 ). |
403 |
||
404 |
self assert:( 200000000000000000000 < 200001000000000000000.0). |
|
405 |
self assert:( 200000000000000000000 < 200001000000000000000.0 asLongFloat ). |
|
406 |
self assert:( 200000000000000000000 < 200001000000000000000.0 asShortFloat ). |
|
407 |
||
408 |
||
409 |
self assert:( 200000000000000000000.0 <= 200000100000000000000 ). |
|
410 |
self assert:( 200000000000000000000.0 <= 200000000000000000000 ). |
|
411 |
self assert:( 200000000000000000000.0 asLongFloat <= 200000000000000000001 ). |
|
412 |
self assert:( 200000000000000000000.0 asLongFloat <= 200000000000000000000 ). |
|
203 | 413 |
self assert:( 2000000.0 asShortFloat <= 200000100000000000000 ). |
414 |
self assert:( 2000000.0 asShortFloat <= 2000000 ). |
|
200 | 415 |
|
416 |
self assert:( 200000000000000000000 <= 200001000000000000000.0). |
|
417 |
self assert:( 200000000000000000000 <= 200000000000000000000.0). |
|
418 |
self assert:( 200000000000000000000 <= 200001000000000000000.0 asLongFloat ). |
|
419 |
self assert:( 200000000000000000000 <= 200000000000000000000.0 asLongFloat ). |
|
203 | 420 |
self assert:( 2000000 <= 2000000.0 asShortFloat ). |
421 |
self assert:( 2000000 <= 2000000.0 asShortFloat ). |
|
200 | 422 |
|
192 | 423 |
" |
424 |
self basicNew test05_Comparing |
|
425 |
" |
|
426 |
! |
|
427 |
||
428 |
test06_MiscMath |
|
263 | 429 |
|epsilon| |
430 |
||
431 |
epsilon := 0.000001. |
|
432 |
||
192 | 433 |
#( |
263 | 434 |
sqrt 0.5 0.707107 |
435 |
exp 0.5 1.64872 |
|
436 |
ln 0.5 -0.693147 |
|
437 |
log10 0.5 -0.30103 |
|
438 |
||
439 |
sin 0.5 0.479426 |
|
440 |
cos 0.5 0.877583 |
|
441 |
tan 0.5 0.546302 |
|
442 |
arcSin 0.5 0.523599 |
|
443 |
arcCos 0.5 1.0472 |
|
444 |
arcTan 0.5 0.463648 |
|
445 |
sinh 0.5 0.521095 |
|
446 |
cosh 0.5 1.12763 |
|
447 |
tanh 0.5 0.462117 |
|
448 |
arcSinh 0.5 0.481212 |
|
449 |
arcCosh 1.5 1.24983 |
|
450 |
arcTanh 0.5 0.549306 |
|
451 |
||
452 |
sin 0.0 0.0 |
|
453 |
cos 0.0 1.0 |
|
454 |
tan 0.0 0.0 |
|
455 |
sinh 0.0 0.0 |
|
456 |
cosh 0.0 1.0 |
|
457 |
tanh 0.0 0.0 |
|
458 |
||
459 |
sin 1.0 0.841471 |
|
460 |
cos 1.0 0.540302 |
|
461 |
tan 1.0 1.55741 |
|
462 |
sinh 1.0 1.1752 |
|
463 |
cosh 1.0 1.54308 |
|
464 |
tanh 1.0 0.761594 |
|
465 |
||
466 |
sin 3.14159 0.0 |
|
467 |
cos 3.14159 -1.0 |
|
468 |
tan 3.14159 0.0 |
|
469 |
sinh 3.14159 11.5487 |
|
470 |
cosh 3.14159 11.5919 |
|
471 |
tanh 3.14159 0.996272 |
|
472 |
||
473 |
||
474 |
tan 0.785398 1.0 "pi/4 -> should be 1" |
|
475 |
arcCos -1.0 3.14159 "should be pi" |
|
476 |
arcSin 1.0 1.5708 "should be pi/2 (1.5708)" |
|
477 |
arcTan 1.0 0.785398 "should be pi/4 (.785398)" |
|
478 |
) inGroupsOf:3 do:[:op :x :expected| |
|
479 |
|rslt rsltShortFloat rsltLongFloat rsltLargeFloat| |
|
480 |
||
481 |
rslt := x perform:op. |
|
482 |
rsltShortFloat := x asShortFloat perform:op. |
|
483 |
rsltLongFloat := x asLongFloat perform:op. |
|
484 |
"/ rsltLargeFloat := arg asLargeFloat perform:op. |
|
485 |
||
486 |
self assert:(rslt class == Float). |
|
487 |
self assert:(rsltShortFloat class == Float). "/ ??? |
|
488 |
self assert:(rsltLongFloat class == LongFloat). |
|
489 |
||
490 |
self assert:( rslt - rsltShortFloat ) < epsilon. |
|
491 |
self assert:( rslt - rsltLongFloat ) < epsilon. |
|
492 |
"/ self assert:( rslt - rsltLargeFloat ) < epsilon. |
|
493 |
self assert:( rslt - rslt asShortFloat ) < epsilon. |
|
494 |
self assert:( rslt - rslt asLongFloat ) < epsilon. |
|
495 |
"/ self assert:( rslt - rslt asLargeFloat ) < epsilon. |
|
496 |
]. |
|
497 |
||
498 |
self should:[ -2 arcSin ] raise:DomainError. |
|
499 |
self should:[ -2 arcCos ] raise:DomainError. |
|
500 |
self should:[ -1 arcTanh ] raise:DomainError. |
|
203 | 501 |
|
263 | 502 |
#( |
503 |
0.0 |
|
504 |
0.5 |
|
505 |
1.0 |
|
506 |
2.0 |
|
507 |
1.57079 |
|
508 |
) do:[:x | |
|
509 |
self assert:( x sin arcSin - x < epsilon). |
|
510 |
self assert:( x cos arcCos - x < epsilon). |
|
511 |
self assert:( x tan arcTan - x < epsilon). |
|
512 |
]. |
|
203 | 513 |
|
263 | 514 |
#( |
515 |
-1.0 |
|
516 |
-0.5 |
|
517 |
0.0 |
|
518 |
0.5 |
|
519 |
1.0 |
|
520 |
) do:[:x | |
|
521 |
self assert:( x arcSin sin - x < epsilon). |
|
522 |
self assert:( x arcCos cos - x < epsilon). |
|
523 |
self assert:( x arcTan tan - x < epsilon). |
|
524 |
]. |
|
203 | 525 |
|
263 | 526 |
#( |
527 |
0.0 |
|
528 |
0.5 |
|
529 |
1.0 |
|
530 |
2.0 |
|
531 |
10 |
|
532 |
) do:[:x | |
|
533 |
self assert:( x cosh arcCosh - x < epsilon). |
|
534 |
]. |
|
535 |
#( |
|
536 |
-10 |
|
537 |
-2 |
|
538 |
-1 |
|
539 |
-0.5 |
|
540 |
0.0 |
|
541 |
0.5 |
|
542 |
1.0 |
|
543 |
2.0 |
|
544 |
10 |
|
545 |
) do:[:x | |
|
546 |
self assert:( x sinh arcSinh - x < epsilon). |
|
547 |
self assert:( x tanh arcTanh - x < epsilon). |
|
548 |
]. |
|
549 |
||
198 | 550 |
|
263 | 551 |
#( |
552 |
-0.99 |
|
553 |
-0.5 |
|
554 |
0.0 |
|
555 |
0.5 |
|
556 |
0.99 |
|
557 |
) do:[:x | |
|
558 |
self assert:( x arcTanh - (( ( (1+x)/(1-x) ) ln ) / 2 ) ) < epsilon. |
|
559 |
]. |
|
560 |
||
561 |
#( |
|
562 |
-10 |
|
563 |
-5 |
|
564 |
-2.0 |
|
565 |
-1.0 |
|
566 |
0.0 |
|
567 |
1.0 |
|
568 |
2.0 |
|
569 |
10 |
|
570 |
) do:[:x | |
|
571 |
self assert:( x arcSinh sinh - x < epsilon). |
|
572 |
]. |
|
573 |
||
574 |
#( |
|
575 |
1.0 |
|
576 |
2.0 |
|
577 |
10.0 |
|
578 |
) do:[:x | |
|
579 |
self assert:( x arcCosh cosh - x < epsilon). |
|
198 | 580 |
]. |
192 | 581 |
|
582 |
" |
|
583 |
self basicNew test06_MiscMath |
|
584 |
" |
|
585 |
! |
|
586 |
||
587 |
test07_Truncation |
|
588 |
|check| |
|
589 |
||
590 |
check := [:num | |
|
591 |
self assert:( num fractionPart + num truncated ) = num. |
|
592 |
self assert:( num fractionPart + num truncated ) class == num class. |
|
593 |
]. |
|
594 |
||
595 |
check value:1.6. |
|
596 |
check value:-1.6. |
|
597 |
||
598 |
check value:1.6 asShortFloat. |
|
599 |
check value:-1.6 asShortFloat. |
|
600 |
||
601 |
check value:1.6 asLongFloat. |
|
602 |
check value:-1.6 asLongFloat. |
|
603 |
||
604 |
||
605 |
self assert:( 1.6 ceiling ) = 2. |
|
606 |
self assert:( 1.6 asShortFloat ceiling ) = 2. |
|
607 |
self assert:( 1.6 asLongFloat ceiling ) = 2. |
|
608 |
||
609 |
self assert:( 1.6 ceilingAsFloat ) = 2.0. |
|
610 |
self assert:( 1.6 ceilingAsFloat ) class == Float. |
|
611 |
self assert:( 1.6 asShortFloat ceilingAsFloat ) = 2.0 asShortFloat. |
|
612 |
self assert:( 1.6 asShortFloat ceilingAsFloat ) class == ShortFloat. |
|
613 |
self assert:( 1.6 asLongFloat ceilingAsFloat ) = 2.0 asLongFloat. |
|
614 |
self assert:( 1.6 asLongFloat ceilingAsFloat ) class == LongFloat. |
|
615 |
||
616 |
||
617 |
self assert:( 1.6 floor ) = 1. |
|
618 |
self assert:( 1.6 asShortFloat floor ) = 1. |
|
619 |
self assert:( 1.6 asLongFloat floor ) = 1. |
|
620 |
||
621 |
self assert:( 1.6 floorAsFloat ) = 1.0. |
|
622 |
self assert:( 1.6 floorAsFloat ) class == Float. |
|
623 |
self assert:( 1.6 asShortFloat floorAsFloat ) = 1.0 asShortFloat. |
|
624 |
self assert:( 1.6 asShortFloat floorAsFloat ) class == ShortFloat. |
|
625 |
self assert:( 1.6 asLongFloat floorAsFloat ) = 1.0 asLongFloat. |
|
626 |
self assert:( 1.6 asLongFloat floorAsFloat ) class == LongFloat. |
|
627 |
||
628 |
||
629 |
self assert:( 0.4 rounded ) class == SmallInteger. |
|
630 |
self assert:( 0.4 rounded = 0 ). |
|
631 |
self assert:( 0.5 rounded = 1 ). |
|
632 |
self assert:( 0.6 rounded = 1 ). |
|
633 |
self assert:( -0.4 rounded = 0 ). |
|
634 |
self assert:( -0.5 rounded = -1 ). |
|
635 |
self assert:( -0.6 rounded = -1 ). |
|
636 |
||
637 |
self assert:( 0.4 roundedAsFloat ) class == Float. |
|
638 |
self assert:( 0.4 roundedAsFloat = 0.0 ). |
|
639 |
self assert:( 0.5 roundedAsFloat = 1.0 ). |
|
640 |
self assert:( 0.6 roundedAsFloat = 1.0 ). |
|
641 |
self assert:( -0.4 roundedAsFloat = 0 ). |
|
642 |
self assert:( -0.5 roundedAsFloat = -1.0 ). |
|
643 |
self assert:( -0.6 roundedAsFloat = -1.0 ). |
|
644 |
||
645 |
self assert:( 0.4 asShortFloat rounded ) class == SmallInteger. |
|
646 |
self assert:( 0.4 asShortFloat rounded = 0 ). |
|
647 |
self assert:( 0.5 asShortFloat rounded = 1 ). |
|
648 |
self assert:( 0.6 asShortFloat rounded = 1 ). |
|
649 |
self assert:( -0.4 asShortFloat rounded = 0 ). |
|
650 |
self assert:( -0.5 asShortFloat rounded = -1 ). |
|
651 |
self assert:( -0.6 asShortFloat rounded = -1 ). |
|
652 |
||
653 |
self assert:( 0.4 asShortFloat roundedAsFloat ) class == ShortFloat. |
|
654 |
self assert:( 0.4 asShortFloat roundedAsFloat = 0.0 ). |
|
655 |
self assert:( 0.5 asShortFloat roundedAsFloat = 1.0 ). |
|
656 |
self assert:( 0.6 asShortFloat roundedAsFloat = 1.0 ). |
|
657 |
self assert:( -0.4 asShortFloat roundedAsFloat = 0 ). |
|
658 |
self assert:( -0.5 asShortFloat roundedAsFloat = -1.0 ). |
|
659 |
self assert:( -0.6 asShortFloat roundedAsFloat = -1.0 ). |
|
660 |
||
661 |
self assert:( 0.4 asLongFloat rounded ) class == SmallInteger. |
|
662 |
self assert:( 0.4 asLongFloat rounded = 0 ). |
|
663 |
self assert:( 0.5 asLongFloat rounded = 1 ). |
|
664 |
self assert:( 0.6 asLongFloat rounded = 1 ). |
|
665 |
self assert:( -0.4 asLongFloat rounded = 0 ). |
|
666 |
self assert:( -0.5 asLongFloat rounded = -1 ). |
|
667 |
self assert:( -0.6 asLongFloat rounded = -1 ). |
|
668 |
||
669 |
self assert:( 0.4 asLongFloat roundedAsFloat ) class == LongFloat. |
|
670 |
self assert:( 0.4 asLongFloat roundedAsFloat = 0.0 ). |
|
671 |
self assert:( 0.5 asLongFloat roundedAsFloat = 1.0 ). |
|
672 |
self assert:( 0.6 asLongFloat roundedAsFloat = 1.0 ). |
|
673 |
self assert:( -0.4 asLongFloat roundedAsFloat = 0 ). |
|
674 |
self assert:( -0.5 asLongFloat roundedAsFloat = -1.0 ). |
|
675 |
self assert:( -0.6 asLongFloat roundedAsFloat = -1.0 ). |
|
676 |
||
677 |
self assert:( 0.4 truncated ) class == SmallInteger. |
|
678 |
self assert:( 0.4 truncated = 0 ). |
|
679 |
self assert:( 0.5 truncated = 0 ). |
|
680 |
self assert:( 0.6 truncated = 0 ). |
|
681 |
self assert:( -0.4 truncated = 0 ). |
|
682 |
self assert:( -0.5 truncated = 0 ). |
|
683 |
self assert:( -0.6 truncated = 0 ). |
|
684 |
||
685 |
self assert:( 0.4 truncatedAsFloat ) class == Float. |
|
686 |
self assert:( 0.4 truncatedAsFloat = 0.0 ). |
|
687 |
self assert:( 0.5 truncatedAsFloat = 0.0 ). |
|
688 |
self assert:( 0.6 truncatedAsFloat = 0.0 ). |
|
689 |
self assert:( -0.4 truncatedAsFloat = 0 ). |
|
690 |
self assert:( -0.5 truncatedAsFloat = 0.0 ). |
|
691 |
self assert:( -0.6 truncatedAsFloat = 0.0 ). |
|
692 |
||
693 |
self assert:( 0.4 asShortFloat truncated ) class == SmallInteger. |
|
694 |
self assert:( 0.4 asShortFloat truncated = 0 ). |
|
695 |
self assert:( 0.5 asShortFloat truncated = 0 ). |
|
696 |
self assert:( 0.6 asShortFloat truncated = 0 ). |
|
697 |
self assert:( -0.4 asShortFloat truncated = 0 ). |
|
698 |
self assert:( -0.5 asShortFloat truncated = 0 ). |
|
699 |
self assert:( -0.6 asShortFloat truncated = 0 ). |
|
700 |
||
701 |
self assert:( 0.4 asShortFloat truncatedAsFloat ) class == ShortFloat. |
|
702 |
self assert:( 0.4 asShortFloat truncatedAsFloat = 0.0 ). |
|
703 |
self assert:( 0.5 asShortFloat truncatedAsFloat = 0.0 ). |
|
704 |
self assert:( 0.6 asShortFloat truncatedAsFloat = 0.0 ). |
|
705 |
self assert:( -0.4 asShortFloat truncatedAsFloat = 0 ). |
|
706 |
self assert:( -0.5 asShortFloat truncatedAsFloat = 0.0 ). |
|
707 |
self assert:( -0.6 asShortFloat truncatedAsFloat = 0.0 ). |
|
708 |
||
709 |
self assert:( 0.4 asLongFloat truncated ) class == SmallInteger. |
|
710 |
self assert:( 0.4 asLongFloat truncated = 0 ). |
|
711 |
self assert:( 0.5 asLongFloat truncated = 0 ). |
|
712 |
self assert:( 0.6 asLongFloat truncated = 0 ). |
|
713 |
self assert:( -0.4 asLongFloat truncated = 0 ). |
|
714 |
self assert:( -0.5 asLongFloat truncated = 0 ). |
|
715 |
self assert:( -0.6 asLongFloat truncated = 0 ). |
|
716 |
||
717 |
self assert:( 0.4 asLongFloat truncatedAsFloat ) class == LongFloat. |
|
718 |
self assert:( 0.4 asLongFloat truncatedAsFloat = 0.0 ). |
|
719 |
self assert:( 0.5 asLongFloat truncatedAsFloat = 0.0 ). |
|
720 |
self assert:( 0.6 asLongFloat truncatedAsFloat = 0.0 ). |
|
721 |
self assert:( -0.4 asLongFloat truncatedAsFloat = 0 ). |
|
722 |
self assert:( -0.5 asLongFloat truncatedAsFloat = 0.0 ). |
|
723 |
self assert:( -0.6 asLongFloat truncatedAsFloat = 0.0 ). |
|
724 |
||
725 |
" |
|
726 |
self basicNew test07_Truncation |
|
727 |
" |
|
197 | 728 |
! |
729 |
||
730 |
test08_Representation |
|
731 |
self assert:( 0.0 exponent = 0 ). |
|
732 |
self assert:( 1.0 exponent = 1 ). |
|
733 |
self assert:( 2.0 exponent = 2 ). |
|
734 |
self assert:( 3.0 exponent = 2 ). |
|
735 |
self assert:( 4.0 exponent = 3 ). |
|
736 |
self assert:( 0.5 exponent = 0 ). |
|
737 |
self assert:( 0.4 exponent = -1 ). |
|
738 |
self assert:( 0.25 exponent = -1 ). |
|
739 |
self assert:( 0.125 exponent = -2 ). |
|
740 |
self assert:( 0.00000011111 exponent = -23 ). |
|
741 |
||
742 |
self assert:( 0.0 asShortFloat exponent = 0 ). |
|
743 |
self assert:( 1.0 asShortFloat exponent = 1 ). |
|
744 |
self assert:( 2.0 asShortFloat exponent = 2 ). |
|
745 |
self assert:( 3.0 asShortFloat exponent = 2 ). |
|
746 |
self assert:( 4.0 asShortFloat exponent = 3 ). |
|
747 |
self assert:( 0.5 asShortFloat exponent = 0 ). |
|
748 |
self assert:( 0.4 asShortFloat exponent = -1 ). |
|
749 |
self assert:( 0.25 asShortFloat exponent = -1 ). |
|
750 |
self assert:( 0.125 asShortFloat exponent = -2 ). |
|
751 |
self assert:( 0.00000011111 asShortFloat exponent = -23 ). |
|
752 |
||
753 |
self assert:( 0.0 asLongFloat exponent = 0 ). |
|
754 |
self assert:( 1.0 asLongFloat exponent = 1 ). |
|
755 |
self assert:( 2.0 asLongFloat exponent = 2 ). |
|
756 |
self assert:( 3.0 asLongFloat exponent = 2 ). |
|
757 |
self assert:( 4.0 asLongFloat exponent = 3 ). |
|
758 |
self assert:( 0.5 asLongFloat exponent = 0 ). |
|
759 |
self assert:( 0.4 asLongFloat exponent = -1 ). |
|
760 |
self assert:( 0.25 asLongFloat exponent = -1 ). |
|
761 |
self assert:( 0.125 asLongFloat exponent = -2 ). |
|
762 |
self assert:( 0.00000011111 asLongFloat exponent = -23 ). |
|
763 |
||
604 | 764 |
self assert:( LongFloat unity = 1 asLongFloat ). |
765 |
self assert:( ShortFloat unity = 1 asShortFloat ). |
|
766 |
self assert:( Float unity = 1 asFloat ). |
|
767 |
||
197 | 768 |
" |
769 |
self basicNew test08_Representation |
|
770 |
" |
|
604 | 771 |
|
772 |
"Modified: / 02-08-2011 / 18:34:39 / cg" |
|
192 | 773 |
! ! |
774 |
||
775 |
!FloatTest class methodsFor:'documentation'! |
|
776 |
||
777 |
version |
|
778 |
^ '$Header$' |
|
756
0fcddf68c5a4
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
755
diff
changeset
|
779 |
! |
0fcddf68c5a4
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
755
diff
changeset
|
780 |
|
0fcddf68c5a4
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
755
diff
changeset
|
781 |
version_CVS |
0fcddf68c5a4
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
755
diff
changeset
|
782 |
^ '$Header$' |
192 | 783 |
! ! |
755
b1269691d037
class: RegressionTests::FloatTest
Claus Gittinger <cg@exept.de>
parents:
665
diff
changeset
|
784 |